λ
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Atlas › Integer Profiles › Node 3,547,775

3,547,775

52 × 7 × 11 × 19 × 97
Deficient Odd Composite

3,547,775 factors as 5^2 × 7 × 11 × 19 × 97. Its 48 positive divisors give a proper-divisor sum of 2,285,185, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 11 × 19 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,832,960
Proper Divisor Sum 2,285,185
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3547769 ← → #3547777

Radix Representation

Decimal 3547775
Binary 1101100010001001111111 (22 bits)
Octal 0o15421177
Hexadecimal 0x36227F

Divisor Catalog (48)

1 5 7 11 19 25 35 55 77 95 97 133 175 209 275 385 475 485 665 679 1,045 1,067 1,463 1,843 1,925 2,425 3,325 3,395 5,225 5,335 7,315 7,469 9,215 12,901 16,975 20,273 26,675 36,575 37,345 46,075 64,505 101,365 141,911 186,725 322,525 506,825 709,555 3,547,775

Collatz Trajectory (146 steps to reach 1)

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

3,547,775 10,643,326 5,321,663 15,964,990 7,982,495 23,947,486 11,973,743 35,921,230 17,960,615 53,881,846 26,940,923 80,822,770 40,411,385 121,234,156 60,617,078 30,308,539 90,925,618 45,462,809 136,388,428 68,194,214 34,097,107 102,291,322 51,145,661 153,436,984 76,718,492 38,359,246 19,179,623 57,538,870 28,769,435 86,308,306 43,154,153 129,462,460 64,731,230 32,365,615 97,096,846 48,548,423 145,645,270 72,822,635 218,467,906 109,233,953 327,701,860 163,850,930 81,925,465 245,776,396 122,888,198 61,444,099 184,332,298 92,166,149 276,498,448 138,249,224 69,124,612 34,562,306 17,281,153 51,843,460 25,921,730 12,960,865 38,882,596 19,441,298 9,720,649 29,161,948

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