10,230,180

2² × 3 × 5 × 170503

10,230,180 factors as 2^2 × 3 × 5 × 170503. Its 24 positive divisors give a proper-divisor sum of 18,414,492, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 170503

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 28,644,672

Proper Divisor Sum 18,414,492

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #10230179 ← → #10230203

Radix Representation

Decimal	10230180
Binary	100111000001100110100100 (24 bits)
Octal	0o47014644
Hexadecimal	0x9C19A4

Divisor Catalog (24)

Collatz Trajectory (114 steps to reach 1)

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

10,230,180 5,115,090 2,557,545 7,672,636 3,836,318 1,918,159 5,754,478 2,877,239 8,631,718 4,315,859 12,947,578 6,473,789 19,421,368 9,710,684 4,855,342 2,427,671 7,283,014 3,641,507 10,924,522 5,462,261 16,386,784 8,193,392 4,096,696 2,048,348 1,024,174 512,087 1,536,262 768,131 2,304,394 1,152,197 3,456,592 1,728,296 864,148 432,074 216,037 648,112 324,056 162,028 81,014 40,507 121,522 60,761 182,284 91,142 45,571 136,714 68,357 205,072 102,536 51,268 25,634 12,817 38,452 19,226 9,613 28,840 14,420 7,210 3,605 10,816

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