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Atlas › Integer Profiles › Node 4,100,192

4,100,192

25 × 37 × 3463
Abundant Even Composite

4,100,192 factors as 2^5 × 37 × 3463. Its 24 positive divisors give a proper-divisor sum of 4,192,624, so this integer is abundant. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 2^5 × 37 × 3463
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,292,816
Proper Divisor Sum 4,192,624
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4100177 ← → #4100207

Radix Representation

Decimal 4100192
Binary 1111101001000001100000 (22 bits)
Octal 0o17510140
Hexadecimal 0x3E9060

Divisor Catalog (24)

1 2 4 8 16 32 37 74 148 296 592 1,184 3,463 6,926 13,852 27,704 55,408 110,816 128,131 256,262 512,524 1,025,048 2,050,096 4,100,192

Collatz Trajectory (53 steps to reach 1)

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

4,100,192 2,050,096 1,025,048 512,524 256,262 128,131 384,394 192,197 576,592 288,296 144,148 72,074 36,037 108,112 54,056 27,028 13,514 6,757 20,272 10,136 5,068 2,534 1,267 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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