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Atlas › Integer Profiles › Node 10,072,644

10,072,644

22 × 3 × 31 × 27077
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 27077
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,261,888
Proper Divisor Sum 14,189,244
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10072639 ← → #10072663

Radix Representation

Decimal 10072644
Binary 100110011011001001000100 (24 bits)
Octal 0o46331104
Hexadecimal 0x99B244

Divisor Catalog (24)

1 2 3 4 6 12 31 62 93 124 186 372 27,077 54,154 81,231 108,308 162,462 324,924 839,387 1,678,774 2,518,161 3,357,548 5,036,322 10,072,644

Collatz Trajectory (251 steps to reach 1)

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

10,072,644 5,036,322 2,518,161 7,554,484 3,777,242 1,888,621 5,665,864 2,832,932 1,416,466 708,233 2,124,700 1,062,350 531,175 1,593,526 796,763 2,390,290 1,195,145 3,585,436 1,792,718 896,359 2,689,078 1,344,539 4,033,618 2,016,809 6,050,428 3,025,214 1,512,607 4,537,822 2,268,911 6,806,734 3,403,367 10,210,102 5,105,051 15,315,154 7,657,577 22,972,732 11,486,366 5,743,183 17,229,550 8,614,775 25,844,326 12,922,163 38,766,490 19,383,245 58,149,736 29,074,868 14,537,434 7,268,717 21,806,152 10,903,076 5,451,538 2,725,769 8,177,308 4,088,654 2,044,327 6,132,982 3,066,491 9,199,474 4,599,737 13,799,212

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