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4,100,512

25 × 13 × 9857
Abundant Even Composite

4,100,512 factors as 2^5 × 13 × 9857. Its 24 positive divisors give a proper-divisor sum of 4,594,244, so this integer is abundant. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 9857
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,694,756
Proper Divisor Sum 4,594,244
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #4100489 ← → #4100521

Radix Representation

Decimal 4100512
Binary 1111101001000110100000 (22 bits)
Octal 0o17510640
Hexadecimal 0x3E91A0

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 9,857 19,714 39,428 78,856 128,141 157,712 256,282 315,424 512,564 1,025,128 2,050,256 4,100,512

Collatz Trajectory (53 steps to reach 1)

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

4,100,512 2,050,256 1,025,128 512,564 256,282 128,141 384,424 192,212 96,106 48,053 144,160 72,080 36,040 18,020 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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