25,157,860

2² × 5 × 7 × 13 × 23 × 601

25,157,860 factors as 2^2 × 5 × 7 × 13 × 23 × 601. Its 96 positive divisors give a proper-divisor sum of 42,805,532, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 13 × 23 × 601

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 67,963,392

Proper Divisor Sum 42,805,532

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #25157849 ← → #25157861

Radix Representation

Decimal	25157860
Binary	1011111111110000011100100 (25 bits)
Octal	0o137760344
Hexadecimal	0x17FE0E4

Divisor Catalog (60 of 96)

1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 91 92 115 130 140 161 182 230 260 299 322 364 455 460 598 601 644 805 910 1,196 1,202 1,495 1,610 1,820 2,093 2,404 2,990 3,005 3,220 4,186 4,207 5,980 6,010 7,813 8,372 8,414 10,465 12,020 13,823 15,626 16,828 20,930 21,035

Collatz Trajectory (79 steps to reach 1)

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

25,157,860 12,578,930 6,289,465 18,868,396 9,434,198 4,717,099 14,151,298 7,075,649 21,226,948 10,613,474 5,306,737 15,920,212 7,960,106 3,980,053 11,940,160 5,970,080 2,985,040 1,492,520 746,260 373,130 186,565 559,696 279,848 139,924 69,962 34,981 104,944 52,472 26,236 13,118 6,559 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739

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