λ
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614,808

23 × 32 × 8539
Abundant Even Composite

614,808 factors as 2^3 × 3^2 × 8539. Its 24 positive divisors give a proper-divisor sum of 1,050,492, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 8539
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,665,300
Proper Divisor Sum 1,050,492
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #614773 ← → #614827

Radix Representation

Decimal 614808
Binary 10010110000110011000 (20 bits)
Octal 0o2260630
Hexadecimal 0x96198

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 8,539 17,078 25,617 34,156 51,234 68,312 76,851 102,468 153,702 204,936 307,404 614,808

Collatz Trajectory (84 steps to reach 1)

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

614,808 307,404 153,702 76,851 230,554 115,277 345,832 172,916 86,458 43,229 129,688 64,844 32,422 16,211 48,634 24,317 72,952 36,476 18,238 9,119 27,358 13,679 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 1,156 578 289 868 434 217 652

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