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Atlas › Integer Profiles › Node 10,071,804

10,071,804

22 × 3 × 43 × 131 × 149
Abundant Even Composite

10,071,804 factors as 2^2 × 3 × 43 × 131 × 149. Its 48 positive divisors give a proper-divisor sum of 14,321,796, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 43 × 131 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,393,600
Proper Divisor Sum 14,321,796
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10071779 ← → #10071811

Radix Representation

Decimal 10071804
Binary 100110011010111011111100 (24 bits)
Octal 0o46327374
Hexadecimal 0x99AEFC

Divisor Catalog (48)

1 2 3 4 6 12 43 86 129 131 149 172 258 262 298 393 447 516 524 596 786 894 1,572 1,788 5,633 6,407 11,266 12,814 16,899 19,221 19,519 22,532 25,628 33,798 38,442 39,038 58,557 67,596 76,884 78,076 117,114 234,228 839,317 1,678,634 2,517,951 3,357,268 5,035,902 10,071,804

Collatz Trajectory (251 steps to reach 1)

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

10,071,804 5,035,902 2,517,951 7,553,854 3,776,927 11,330,782 5,665,391 16,996,174 8,498,087 25,494,262 12,747,131 38,241,394 19,120,697 57,362,092 28,681,046 14,340,523 43,021,570 21,510,785 64,532,356 32,266,178 16,133,089 48,399,268 24,199,634 12,099,817 36,299,452 18,149,726 9,074,863 27,224,590 13,612,295 40,836,886 20,418,443 61,255,330 30,627,665 91,882,996 45,941,498 22,970,749 68,912,248 34,456,124 17,228,062 8,614,031 25,842,094 12,921,047 38,763,142 19,381,571 58,144,714 29,072,357 87,217,072 43,608,536 21,804,268 10,902,134 5,451,067 16,353,202 8,176,601 24,529,804 12,264,902 6,132,451 18,397,354 9,198,677 27,596,032 13,798,016

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