52,594,616

2³ × 149 × 44123

52,594,616 factors as 2^3 × 149 × 44123. Its 16 positive divisors give a proper-divisor sum of 46,684,384, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^3 × 149 × 44123

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 99,279,000

Proper Divisor Sum 46,684,384

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #52594609 ← → #52594621

Radix Representation

Decimal	52594616
Binary	11001000101000011110111000 (26 bits)
Octal	0o310503670
Hexadecimal	0x32287B8

Divisor Catalog (16)

1 2 4 8 149 298 596 1,192 44,123 88,246 176,492 352,984 6,574,327 13,148,654 26,297,308 52,594,616

Collatz Trajectory (225 steps to reach 1)

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

52,594,616 26,297,308 13,148,654 6,574,327 19,722,982 9,861,491 29,584,474 14,792,237 44,376,712 22,188,356 11,094,178 5,547,089 16,641,268 8,320,634 4,160,317 12,480,952 6,240,476 3,120,238 1,560,119 4,680,358 2,340,179 7,020,538 3,510,269 10,530,808 5,265,404 2,632,702 1,316,351 3,949,054 1,974,527 5,923,582 2,961,791 8,885,374 4,442,687 13,328,062 6,664,031 19,992,094 9,996,047 29,988,142 14,994,071 44,982,214 22,491,107 67,473,322 33,736,661 101,209,984 50,604,992 25,302,496 12,651,248 6,325,624 3,162,812 1,581,406 790,703 2,372,110 1,186,055 3,558,166 1,779,083 5,337,250 2,668,625 8,005,876 4,002,938 2,001,469

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