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Atlas › Integer Profiles › Node 57,765,132

57,765,132

22 × 32 × 101 × 15887
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 101 × 15887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 147,472,416
Proper Divisor Sum 89,707,284
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57765131 ← → #57765137

Radix Representation

Decimal 57765132
Binary 11011100010110110100001100 (26 bits)
Octal 0o334266414
Hexadecimal 0x3716D0C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1,212 1,818 3,636 15,887 31,774 47,661 63,548 95,322 142,983 190,644 285,966 571,932 1,604,587 3,209,174 4,813,761 6,418,348 9,627,522 14,441,283 19,255,044 28,882,566 57,765,132

Collatz Trajectory (238 steps to reach 1)

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

57,765,132 28,882,566 14,441,283 43,323,850 21,661,925 64,985,776 32,492,888 16,246,444 8,123,222 4,061,611 12,184,834 6,092,417 18,277,252 9,138,626 4,569,313 13,707,940 6,853,970 3,426,985 10,280,956 5,140,478 2,570,239 7,710,718 3,855,359 11,566,078 5,783,039 17,349,118 8,674,559 26,023,678 13,011,839 39,035,518 19,517,759 58,553,278 29,276,639 87,829,918 43,914,959 131,744,878 65,872,439 197,617,318 98,808,659 296,425,978 148,212,989 444,638,968 222,319,484 111,159,742 55,579,871 166,739,614 83,369,807 250,109,422 125,054,711 375,164,134 187,582,067 562,746,202 281,373,101 844,119,304 422,059,652 211,029,826 105,514,913 316,544,740 158,272,370 79,136,185

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