10,462,002

2 × 3 × 173 × 10079

10,462,002 factors as 2 × 3 × 173 × 10079. Its 16 positive divisors give a proper-divisor sum of 10,585,038, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 3 × 173 × 10079

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 21,047,040

Proper Divisor Sum 10,585,038

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #10461991 ← → #10462031

Radix Representation

Decimal	10462002
Binary	100111111010001100110010 (24 bits)
Octal	0o47721462
Hexadecimal	0x9FA332

Divisor Catalog (16)

1 2 3 6 173 346 519 1,038 10,079 20,158 30,237 60,474 1,743,667 3,487,334 5,231,001 10,462,002

Collatz Trajectory (189 steps to reach 1)

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

10,462,002 5,231,001 15,693,004 7,846,502 3,923,251 11,769,754 5,884,877 17,654,632 8,827,316 4,413,658 2,206,829 6,620,488 3,310,244 1,655,122 827,561 2,482,684 1,241,342 620,671 1,862,014 931,007 2,793,022 1,396,511 4,189,534 2,094,767 6,284,302 3,142,151 9,426,454 4,713,227 14,139,682 7,069,841 21,209,524 10,604,762 5,302,381 15,907,144 7,953,572 3,976,786 1,988,393 5,965,180 2,982,590 1,491,295 4,473,886 2,236,943 6,710,830 3,355,415 10,066,246 5,033,123 15,099,370 7,549,685 22,649,056 11,324,528 5,662,264 2,831,132 1,415,566 707,783 2,123,350 1,061,675 3,185,026 1,592,513 4,777,540 2,388,770

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