7,378,492

2² × 11 × 23² × 317

7,378,492 factors as 2^2 × 11 × 23^2 × 317. Its 36 positive divisors give a proper-divisor sum of 7,393,244, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 23^2 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,771,736

Proper Divisor Sum 7,393,244

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7378463 ← → #7378513

Radix Representation

Decimal	7378492
Binary	11100001001011000111100 (23 bits)
Octal	0o34113074
Hexadecimal	0x70963C

Divisor Catalog (36)

Collatz Trajectory (85 steps to reach 1)

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

7,378,492 3,689,246 1,844,623 5,533,870 2,766,935 8,300,806 4,150,403 12,451,210 6,225,605 18,676,816 9,338,408 4,669,204 2,334,602 1,167,301 3,501,904 1,750,952 875,476 437,738 218,869 656,608 328,304 164,152 82,076 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217

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