λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,872,036

4,872,036

22 × 3 × 13 × 31231
Abundant Even Composite

4,872,036 factors as 2^2 × 3 × 13 × 31231. Its 24 positive divisors give a proper-divisor sum of 7,370,908, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 31231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,242,944
Proper Divisor Sum 7,370,908
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4872001 ← → #4872041

Radix Representation

Decimal 4872036
Binary 10010100101011101100100 (23 bits)
Octal 0o22453544
Hexadecimal 0x4A5764

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 31,231 62,462 93,693 124,924 187,386 374,772 406,003 812,006 1,218,009 1,624,012 2,436,018 4,872,036

Collatz Trajectory (224 steps to reach 1)

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

4,872,036 2,436,018 1,218,009 3,654,028 1,827,014 913,507 2,740,522 1,370,261 4,110,784 2,055,392 1,027,696 513,848 256,924 128,462 64,231 192,694 96,347 289,042 144,521 433,564 216,782 108,391 325,174 162,587 487,762 243,881 731,644 365,822 182,911 548,734 274,367 823,102 411,551 1,234,654 617,327 1,851,982 925,991 2,777,974 1,388,987 4,166,962 2,083,481 6,250,444 3,125,222 1,562,611 4,687,834 2,343,917 7,031,752 3,515,876 1,757,938 878,969 2,636,908 1,318,454 659,227 1,977,682 988,841 2,966,524 1,483,262 741,631 2,224,894 1,112,447

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,872,035 Browse Full Index Next Integer #4,872,037 →