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8,300,064

25 × 3 × 31 × 2789
Abundant Even Composite

8,300,064 factors as 2^5 × 3 × 31 × 2789. Its 48 positive divisors give a proper-divisor sum of 14,198,496, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 31 × 2789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,498,560
Proper Divisor Sum 14,198,496
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8300057 ← → #8300069

Radix Representation

Decimal 8300064
Binary 11111101010011000100000 (23 bits)
Octal 0o37523040
Hexadecimal 0x7EA620

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1,488 2,789 2,976 5,578 8,367 11,156 16,734 22,312 33,468 44,624 66,936 86,459 89,248 133,872 172,918 259,377 267,744 345,836 518,754 691,672 1,037,508 1,383,344 2,075,016 2,766,688 4,150,032 8,300,064

Collatz Trajectory (75 steps to reach 1)

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

8,300,064 4,150,032 2,075,016 1,037,508 518,754 259,377 778,132 389,066 194,533 583,600 291,800 145,900 72,950 36,475 109,426 54,713 164,140 82,070 41,035 123,106 61,553 184,660 92,330 46,165 138,496 69,248 34,624 17,312 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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