10,240,104

2³ × 3 × 7 × 60953

10,240,104 factors as 2^3 × 3 × 7 × 60953. Its 32 positive divisors give a proper-divisor sum of 19,017,816, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 60953

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 29,257,920

Proper Divisor Sum 19,017,816

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #10240067 ← → #10240121

Radix Representation

Decimal	10240104
Binary	100111000100000001101000 (24 bits)
Octal	0o47040150
Hexadecimal	0x9C4068

Divisor Catalog (32)

Collatz Trajectory (75 steps to reach 1)

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

10,240,104 5,120,052 2,560,026 1,280,013 3,840,040 1,920,020 960,010 480,005 1,440,016 720,008 360,004 180,002 90,001 270,004 135,002 67,501 202,504 101,252 50,626 25,313 75,940 37,970 18,985 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301

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