λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,864,083

4,864,083

3 × 73 × 29 × 163
Deficient Odd Composite

4,864,083 factors as 3 × 7^3 × 29 × 163. Its 32 positive divisors give a proper-divisor sum of 3,007,917, so this integer is deficient. The Collatz stopping time is 343 steps.

Prime Factor Structure

Factorization String 3 × 7^3 × 29 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,872,000
Proper Divisor Sum 3,007,917
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4864081 ← → #4864087

Radix Representation

Decimal 4864083
Binary 10010100011100001010011 (23 bits)
Octal 0o22434123
Hexadecimal 0x4A3853

Divisor Catalog (32)

1 3 7 21 29 49 87 147 163 203 343 489 609 1,029 1,141 1,421 3,423 4,263 4,727 7,987 9,947 14,181 23,961 29,841 33,089 55,909 99,267 167,727 231,623 694,869 1,621,361 4,864,083

Collatz Trajectory (343 steps to reach 1)

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

4,864,083 14,592,250 7,296,125 21,888,376 10,944,188 5,472,094 2,736,047 8,208,142 4,104,071 12,312,214 6,156,107 18,468,322 9,234,161 27,702,484 13,851,242 6,925,621 20,776,864 10,388,432 5,194,216 2,597,108 1,298,554 649,277 1,947,832 973,916 486,958 243,479 730,438 365,219 1,095,658 547,829 1,643,488 821,744 410,872 205,436 102,718 51,359 154,078 77,039 231,118 115,559 346,678 173,339 520,018 260,009 780,028 390,014 195,007 585,022 292,511 877,534 438,767 1,316,302 658,151 1,974,454 987,227 2,961,682 1,480,841 4,442,524 2,221,262 1,110,631

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,864,082 Browse Full Index Next Integer #4,864,084 →