λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,569,440

24,569,440

25 × 5 × 7 × 21937
Abundant Even Composite

24,569,440 factors as 2^5 × 5 × 7 × 21937. Its 48 positive divisors give a proper-divisor sum of 41,771,072, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 21937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 66,340,512
Proper Divisor Sum 41,771,072
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #24569431 ← → #24569449

Radix Representation

Decimal 24569440
Binary 1011101101110011001100000 (25 bits)
Octal 0o135563140
Hexadecimal 0x176E660

Divisor Catalog (48)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1,120 21,937 43,874 87,748 109,685 153,559 175,496 219,370 307,118 350,992 438,740 614,236 701,984 767,795 877,480 1,228,472 1,535,590 1,754,960 2,456,944 3,071,180 3,509,920 4,913,888 6,142,360 12,284,720 24,569,440

Collatz Trajectory (229 steps to reach 1)

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

24,569,440 12,284,720 6,142,360 3,071,180 1,535,590 767,795 2,303,386 1,151,693 3,455,080 1,727,540 863,770 431,885 1,295,656 647,828 323,914 161,957 485,872 242,936 121,468 60,734 30,367 91,102 45,551 136,654 68,327 204,982 102,491 307,474 153,737 461,212 230,606 115,303 345,910 172,955 518,866 259,433 778,300 389,150 194,575 583,726 291,863 875,590 437,795 1,313,386 656,693 1,970,080 985,040 492,520 246,260 123,130 61,565 184,696 92,348 46,174 23,087 69,262 34,631 103,894 51,947 155,842

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #24,569,439 Browse Full Index Next Integer #24,569,441 →