25,000,096

2⁵ × 11 × 71023

25,000,096 factors as 2^5 × 11 × 71023. Its 24 positive divisors give a proper-divisor sum of 28,694,048, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 71023

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 53,694,144

Proper Divisor Sum 28,694,048

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #25000069 ← → #25000109

Radix Representation

Decimal	25000096
Binary	1011111010111100010100000 (25 bits)
Octal	0o137274240
Hexadecimal	0x17D78A0

Divisor Catalog (24)

Collatz Trajectory (167 steps to reach 1)

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

25,000,096 12,500,048 6,250,024 3,125,012 1,562,506 781,253 2,343,760 1,171,880 585,940 292,970 146,485 439,456 219,728 109,864 54,932 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124

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