24,964,720

2⁴ × 5 × 11² × 2579

24,964,720 factors as 2^4 × 5 × 11^2 × 2579. Its 60 positive divisors give a proper-divisor sum of 38,859,320, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11^2 × 2579

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 63,824,040

Proper Divisor Sum 38,859,320

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #24964717 ← → #24964733

Radix Representation

Decimal	24964720
Binary	1011111001110111001110000 (25 bits)
Octal	0o137167160
Hexadecimal	0x17CEE70

Divisor Catalog (60)

1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1,210 1,936 2,420 2,579 4,840 5,158 9,680 10,316 12,895 20,632 25,790 28,369 41,264 51,580 56,738 103,160 113,476 141,845 206,320 226,952 283,690 312,059 453,904 567,380 624,118 1,134,760 1,248,236 1,560,295 2,269,520 2,496,472 3,120,590 4,992,944 6,241,180 12,482,360 24,964,720

Collatz Trajectory (185 steps to reach 1)

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

24,964,720 12,482,360 6,241,180 3,120,590 1,560,295 4,680,886 2,340,443 7,021,330 3,510,665 10,531,996 5,265,998 2,632,999 7,898,998 3,949,499 11,848,498 5,924,249 17,772,748 8,886,374 4,443,187 13,329,562 6,664,781 19,994,344 9,997,172 4,998,586 2,499,293 7,497,880 3,748,940 1,874,470 937,235 2,811,706 1,405,853 4,217,560 2,108,780 1,054,390 527,195 1,581,586 790,793 2,372,380 1,186,190 593,095 1,779,286 889,643 2,668,930 1,334,465 4,003,396 2,001,698 1,000,849 3,002,548 1,501,274 750,637 2,251,912 1,125,956 562,978 281,489 844,468 422,234 211,117 633,352 316,676 158,338

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