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Atlas › Integer Profiles › Node 10,244,700

10,244,700

22 × 32 × 52 × 11383
Abundant Even Composite

10,244,700 factors as 2^2 × 3^2 × 5^2 × 11383. Its 54 positive divisors give a proper-divisor sum of 21,869,564, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 11383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 32,114,264
Proper Divisor Sum 21,869,564
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10244699 ← → #10244753

Radix Representation

Decimal 10244700
Binary 100111000101001001011100 (24 bits)
Octal 0o47051134
Hexadecimal 0x9C525C

Divisor Catalog (54)

1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 11,383 22,766 34,149 45,532 56,915 68,298 102,447 113,830 136,596 170,745 204,894 227,660 284,575 341,490 409,788 512,235 569,150 682,980 853,725 1,024,470 1,138,300 1,707,450 2,048,940 2,561,175 3,414,900 5,122,350 10,244,700

Collatz Trajectory (75 steps to reach 1)

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

10,244,700 5,122,350 2,561,175 7,683,526 3,841,763 11,525,290 5,762,645 17,287,936 8,643,968 4,321,984 2,160,992 1,080,496 540,248 270,124 135,062 67,531 202,594 101,297 303,892 151,946 75,973 227,920 113,960 56,980 28,490 14,245 42,736 21,368 10,684 5,342 2,671 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 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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