24,731,320

2³ × 5 × 89 × 6947

24,731,320 factors as 2^3 × 5 × 89 × 6947. Its 32 positive divisors give a proper-divisor sum of 31,547,480, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 89 × 6947

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 56,278,800

Proper Divisor Sum 31,547,480

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #24731309 ← → #24731339

Radix Representation

Decimal	24731320
Binary	1011110010101111010111000 (25 bits)
Octal	0o136257270
Hexadecimal	0x1795EB8

Divisor Catalog (32)

Collatz Trajectory (167 steps to reach 1)

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

24,731,320 12,365,660 6,182,830 3,091,415 9,274,246 4,637,123 13,911,370 6,955,685 20,867,056 10,433,528 5,216,764 2,608,382 1,304,191 3,912,574 1,956,287 5,868,862 2,934,431 8,803,294 4,401,647 13,204,942 6,602,471 19,807,414 9,903,707 29,711,122 14,855,561 44,566,684 22,283,342 11,141,671 33,425,014 16,712,507 50,137,522 25,068,761 75,206,284 37,603,142 18,801,571 56,404,714 28,202,357 84,607,072 42,303,536 21,151,768 10,575,884 5,287,942 2,643,971 7,931,914 3,965,957 11,897,872 5,948,936 2,974,468 1,487,234 743,617 2,230,852 1,115,426 557,713 1,673,140 836,570 418,285 1,254,856 627,428 313,714 156,857

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