λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,103,175

97,103,175

3 × 52 × 132 × 47 × 163
Deficient Odd Composite

97,103,175 factors as 3 × 5^2 × 13^2 × 47 × 163. Its 72 positive divisors give a proper-divisor sum of 81,528,249, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 13^2 × 47 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 178,631,424
Proper Divisor Sum 81,528,249
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #97103173 ← → #97103177

Radix Representation

Decimal 97103175
Binary 101110010011010110101000111 (27 bits)
Octal 0o562326507
Hexadecimal 0x5C9AD47

Divisor Catalog (60 of 72)

1 3 5 13 15 25 39 47 65 75 141 163 169 195 235 325 489 507 611 705 815 845 975 1,175 1,833 2,119 2,445 2,535 3,055 3,525 4,075 4,225 6,357 7,661 7,943 9,165 10,595 12,225 12,675 15,275 22,983 23,829 27,547 31,785 38,305 39,715 45,825 52,975 82,641 99,593 114,915 119,145 137,735 158,925 191,525 198,575 298,779 413,205 497,965 574,575

Collatz Trajectory (156 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

97,103,175 291,309,526 145,654,763 436,964,290 218,482,145 655,446,436 327,723,218 163,861,609 491,584,828 245,792,414 122,896,207 368,688,622 184,344,311 553,032,934 276,516,467 829,549,402 414,774,701 1,244,324,104 622,162,052 311,081,026 155,540,513 466,621,540 233,310,770 116,655,385 349,966,156 174,983,078 87,491,539 262,474,618 131,237,309 393,711,928 196,855,964 98,427,982 49,213,991 147,641,974 73,820,987 221,462,962 110,731,481 332,194,444 166,097,222 83,048,611 249,145,834 124,572,917 373,718,752 186,859,376 93,429,688 46,714,844 23,357,422 11,678,711 35,036,134 17,518,067 52,554,202 26,277,101 78,831,304 39,415,652 19,707,826 9,853,913 29,561,740 14,780,870 7,390,435 22,171,306

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #97,103,174 Browse Full Index Next Integer #97,103,176 →