24,972,743

37 × 251 × 2689

24,972,743 factors as 37 × 251 × 2689. Its 8 positive divisors give a proper-divisor sum of 786,697, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 37 × 251 × 2689

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 25,759,440

Proper Divisor Sum 786,697

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #24972737 ← → #24972793

Radix Representation

Decimal	24972743
Binary	1011111010000110111000111 (25 bits)
Octal	0o137206707
Hexadecimal	0x17D0DC7

Divisor Catalog (8)

1 37 251 2,689 9,287 99,493 674,939 24,972,743

Collatz Trajectory (105 steps to reach 1)

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

24,972,743 74,918,230 37,459,115 112,377,346 56,188,673 168,566,020 84,283,010 42,141,505 126,424,516 63,212,258 31,606,129 94,818,388 47,409,194 23,704,597 71,113,792 35,556,896 17,778,448 8,889,224 4,444,612 2,222,306 1,111,153 3,333,460 1,666,730 833,365 2,500,096 1,250,048 625,024 312,512 156,256 78,128 39,064 19,532 9,766 4,883 14,650 7,325 21,976 10,988 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734

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