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5,482,152

23 × 32 × 13 × 5857
Abundant Even Composite

5,482,152 factors as 2^3 × 3^2 × 13 × 5857. Its 48 positive divisors give a proper-divisor sum of 10,510,188, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 5857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,992,340
Proper Divisor Sum 10,510,188
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5482129 ← → #5482153

Radix Representation

Decimal 5482152
Binary 10100111010011010101000 (23 bits)
Octal 0o24723250
Hexadecimal 0x53A6A8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 5,857 11,714 17,571 23,428 35,142 46,856 52,713 70,284 76,141 105,426 140,568 152,282 210,852 228,423 304,564 421,704 456,846 609,128 685,269 913,692 1,370,538 1,827,384 2,741,076 5,482,152

Collatz Trajectory (56 steps to reach 1)

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

5,482,152 2,741,076 1,370,538 685,269 2,055,808 1,027,904 513,952 256,976 128,488 64,244 32,122 16,061 48,184 24,092 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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