8,515,832

2³ × 13 × 81883

8,515,832 factors as 2^3 × 13 × 81883. Its 16 positive divisors give a proper-divisor sum of 8,679,808, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 81883

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,195,640

Proper Divisor Sum 8,679,808

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8515813 ← → #8515847

Radix Representation

Decimal	8515832
Binary	100000011111000011111000 (24 bits)
Octal	0o40370370
Hexadecimal	0x81F0F8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 81,883 163,766 327,532 655,064 1,064,479 2,128,958 4,257,916 8,515,832

Collatz Trajectory (199 steps to reach 1)

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

8,515,832 4,257,916 2,128,958 1,064,479 3,193,438 1,596,719 4,790,158 2,395,079 7,185,238 3,592,619 10,777,858 5,388,929 16,166,788 8,083,394 4,041,697 12,125,092 6,062,546 3,031,273 9,093,820 4,546,910 2,273,455 6,820,366 3,410,183 10,230,550 5,115,275 15,345,826 7,672,913 23,018,740 11,509,370 5,754,685 17,264,056 8,632,028 4,316,014 2,158,007 6,474,022 3,237,011 9,711,034 4,855,517 14,566,552 7,283,276 3,641,638 1,820,819 5,462,458 2,731,229 8,193,688 4,096,844 2,048,422 1,024,211 3,072,634 1,536,317 4,608,952 2,304,476 1,152,238 576,119 1,728,358 864,179 2,592,538 1,296,269 3,888,808 1,944,404

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