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Atlas › Integer Profiles › Node 10,247,536

10,247,536

24 × 13 × 19 × 2593
Abundant Even Composite

10,247,536 factors as 2^4 × 13 × 19 × 2593. Its 40 positive divisors give a proper-divisor sum of 12,268,384, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 19 × 2593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,515,920
Proper Divisor Sum 12,268,384
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #10247513 ← → #10247539

Radix Representation

Decimal 10247536
Binary 100111000101110101110000 (24 bits)
Octal 0o47056560
Hexadecimal 0x9C5D70

Divisor Catalog (40)

1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1,976 2,593 3,952 5,186 10,372 20,744 33,709 41,488 49,267 67,418 98,534 134,836 197,068 269,672 394,136 539,344 640,471 788,272 1,280,942 2,561,884 5,123,768 10,247,536

Collatz Trajectory (75 steps to reach 1)

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

10,247,536 5,123,768 2,561,884 1,280,942 640,471 1,921,414 960,707 2,882,122 1,441,061 4,323,184 2,161,592 1,080,796 540,398 270,199 810,598 405,299 1,215,898 607,949 1,823,848 911,924 455,962 227,981 683,944 341,972 170,986 85,493 256,480 128,240 64,120 32,060 16,030 8,015 24,046 12,023 36,070 18,035 54,106 27,053 81,160 40,580 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301

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