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Atlas › Integer Profiles › Node 4,869,936

4,869,936

24 × 33 × 11273
Abundant Even Composite

4,869,936 factors as 2^4 × 3^3 × 11273. Its 40 positive divisors give a proper-divisor sum of 9,109,824, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 11273
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,979,760
Proper Divisor Sum 9,109,824
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4869929 ← → #4869959

Radix Representation

Decimal 4869936
Binary 10010100100111100110000 (23 bits)
Octal 0o22447460
Hexadecimal 0x4A4F30

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11,273 22,546 33,819 45,092 67,638 90,184 101,457 135,276 180,368 202,914 270,552 304,371 405,828 541,104 608,742 811,656 1,217,484 1,623,312 2,434,968 4,869,936

Collatz Trajectory (118 steps to reach 1)

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

4,869,936 2,434,968 1,217,484 608,742 304,371 913,114 456,557 1,369,672 684,836 342,418 171,209 513,628 256,814 128,407 385,222 192,611 577,834 288,917 866,752 433,376 216,688 108,344 54,172 27,086 13,543 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425 154,276 77,138 38,569 115,708 57,854 28,927 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348

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