10,010,718

2 × 3² × 47 × 11833

10,010,718 factors as 2 × 3^2 × 47 × 11833. Its 24 positive divisors give a proper-divisor sum of 12,142,530, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 47 × 11833

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 22,153,248

Proper Divisor Sum 12,142,530

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #10010711 ← → #10010719

Radix Representation

Decimal	10010718
Binary	100110001100000001011110 (24 bits)
Octal	0o46140136
Hexadecimal	0x98C05E

Divisor Catalog (24)

Collatz Trajectory (189 steps to reach 1)

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

10,010,718 5,005,359 15,016,078 7,508,039 22,524,118 11,262,059 33,786,178 16,893,089 50,679,268 25,339,634 12,669,817 38,009,452 19,004,726 9,502,363 28,507,090 14,253,545 42,760,636 21,380,318 10,690,159 32,070,478 16,035,239 48,105,718 24,052,859 72,158,578 36,079,289 108,237,868 54,118,934 27,059,467 81,178,402 40,589,201 121,767,604 60,883,802 30,441,901 91,325,704 45,662,852 22,831,426 11,415,713 34,247,140 17,123,570 8,561,785 25,685,356 12,842,678 6,421,339 19,264,018 9,632,009 28,896,028 14,448,014 7,224,007 21,672,022 10,836,011 32,508,034 16,254,017 48,762,052 24,381,026 12,190,513 36,571,540 18,285,770 9,142,885 27,428,656 13,714,328

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