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Atlas › Integer Profiles › Node 11,625,868

11,625,868

22 × 29 × 31 × 53 × 61
Deficient Even Composite

11,625,868 factors as 2^2 × 29 × 31 × 53 × 61. Its 48 positive divisors give a proper-divisor sum of 10,872,692, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 31 × 53 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,498,560
Proper Divisor Sum 10,872,692
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #11625863 ← → #11625869

Radix Representation

Decimal 11625868
Binary 101100010110010110001100 (24 bits)
Octal 0o54262614
Hexadecimal 0xB1658C

Divisor Catalog (48)

1 2 4 29 31 53 58 61 62 106 116 122 124 212 244 899 1,537 1,643 1,769 1,798 1,891 3,074 3,233 3,286 3,538 3,596 3,782 6,148 6,466 6,572 7,076 7,564 12,932 47,647 54,839 93,757 95,294 100,223 109,678 187,514 190,588 200,446 219,356 375,028 400,892 2,906,467 5,812,934 11,625,868

Collatz Trajectory (109 steps to reach 1)

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

11,625,868 5,812,934 2,906,467 8,719,402 4,359,701 13,079,104 6,539,552 3,269,776 1,634,888 817,444 408,722 204,361 613,084 306,542 153,271 459,814 229,907 689,722 344,861 1,034,584 517,292 258,646 129,323 387,970 193,985 581,956 290,978 145,489 436,468 218,234 109,117 327,352 163,676 81,838 40,919 122,758 61,379 184,138 92,069 276,208 138,104 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744

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