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Atlas › Integer Profiles › Node 57,711,934

57,711,934

2 × 7 × 37 × 43 × 2591
Deficient Even Composite

57,711,934 factors as 2 × 7 × 37 × 43 × 2591. Its 32 positive divisors give a proper-divisor sum of 46,299,842, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 7 × 37 × 43 × 2591
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 104,011,776
Proper Divisor Sum 46,299,842
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #57711881 ← → #57711937

Radix Representation

Decimal 57711934
Binary 11011100001001110100111110 (26 bits)
Octal 0o334116476
Hexadecimal 0x3709D3E

Divisor Catalog (32)

1 2 7 14 37 43 74 86 259 301 518 602 1,591 2,591 3,182 5,182 11,137 18,137 22,274 36,274 95,867 111,413 191,734 222,826 671,069 779,891 1,342,138 1,559,782 4,122,281 8,244,562 28,855,967 57,711,934

Collatz Trajectory (93 steps to reach 1)

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

57,711,934 28,855,967 86,567,902 43,283,951 129,851,854 64,925,927 194,777,782 97,388,891 292,166,674 146,083,337 438,250,012 219,125,006 109,562,503 328,687,510 164,343,755 493,031,266 246,515,633 739,546,900 369,773,450 184,886,725 554,660,176 277,330,088 138,665,044 69,332,522 34,666,261 103,998,784 51,999,392 25,999,696 12,999,848 6,499,924 3,249,962 1,624,981 4,874,944 2,437,472 1,218,736 609,368 304,684 152,342 76,171 228,514 114,257 342,772 171,386 85,693 257,080 128,540 64,270 32,135 96,406 48,203 144,610 72,305 216,916 108,458 54,229 162,688 81,344 40,672 20,336 10,168

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