25,892,512

2⁵ × 809141

25,892,512 factors as 2^5 × 809141. Its 12 positive divisors give a proper-divisor sum of 25,083,434, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^5 × 809141

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 50,975,946

Proper Divisor Sum 25,083,434

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #25892509 ← → #25892521

Radix Representation

Decimal	25892512
Binary	1100010110001011010100000 (25 bits)
Octal	0o142613240
Hexadecimal	0x18B16A0

Divisor Catalog (12)

1 2 4 8 16 32 809,141 1,618,282 3,236,564 6,473,128 12,946,256 25,892,512

Collatz Trajectory (167 steps to reach 1)

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

25,892,512 12,946,256 6,473,128 3,236,564 1,618,282 809,141 2,427,424 1,213,712 606,856 303,428 151,714 75,857 227,572 113,786 56,893 170,680 85,340 42,670 21,335 64,006 32,003 96,010 48,005 144,016 72,008 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564

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