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Atlas › Integer Profiles › Node 59,614,432

59,614,432

25 × 131 × 14221
Deficient Even Composite

59,614,432 factors as 2^5 × 131 × 14221. Its 24 positive divisors give a proper-divisor sum of 58,655,720, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2^5 × 131 × 14221
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 118,270,152
Proper Divisor Sum 58,655,720
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #59614421 ← → #59614433

Radix Representation

Decimal 59614432
Binary 11100011011010010011100000 (26 bits)
Octal 0o343322340
Hexadecimal 0x38DA4E0

Divisor Catalog (24)

1 2 4 8 16 32 131 262 524 1,048 2,096 4,192 14,221 28,442 56,884 113,768 227,536 455,072 1,862,951 3,725,902 7,451,804 14,903,608 29,807,216 59,614,432

Collatz Trajectory (282 steps to reach 1)

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

59,614,432 29,807,216 14,903,608 7,451,804 3,725,902 1,862,951 5,588,854 2,794,427 8,383,282 4,191,641 12,574,924 6,287,462 3,143,731 9,431,194 4,715,597 14,146,792 7,073,396 3,536,698 1,768,349 5,305,048 2,652,524 1,326,262 663,131 1,989,394 994,697 2,984,092 1,492,046 746,023 2,238,070 1,119,035 3,357,106 1,678,553 5,035,660 2,517,830 1,258,915 3,776,746 1,888,373 5,665,120 2,832,560 1,416,280 708,140 354,070 177,035 531,106 265,553 796,660 398,330 199,165 597,496 298,748 149,374 74,687 224,062 112,031 336,094 168,047 504,142 252,071 756,214 378,107

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