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Atlas › Integer Profiles › Node 57,737,015

57,737,015

5 × 7 × 17 × 23 × 4219
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 17 × 23 × 4219
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 87,505,920
Proper Divisor Sum 29,768,905
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #57736993 ← → #57737027

Radix Representation

Decimal 57737015
Binary 11011100001111111100110111 (26 bits)
Octal 0o334177467
Hexadecimal 0x370FF37

Divisor Catalog (32)

1 5 7 17 23 35 85 115 119 161 391 595 805 1,955 2,737 4,219 13,685 21,095 29,533 71,723 97,037 147,665 358,615 485,185 502,061 679,259 1,649,629 2,510,305 3,396,295 8,248,145 11,547,403 57,737,015

Collatz Trajectory (145 steps to reach 1)

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

57,737,015 173,211,046 86,605,523 259,816,570 129,908,285 389,724,856 194,862,428 97,431,214 48,715,607 146,146,822 73,073,411 219,220,234 109,610,117 328,830,352 164,415,176 82,207,588 41,103,794 20,551,897 61,655,692 30,827,846 15,413,923 46,241,770 23,120,885 69,362,656 34,681,328 17,340,664 8,670,332 4,335,166 2,167,583 6,502,750 3,251,375 9,754,126 4,877,063 14,631,190 7,315,595 21,946,786 10,973,393 32,920,180 16,460,090 8,230,045 24,690,136 12,345,068 6,172,534 3,086,267 9,258,802 4,629,401 13,888,204 6,944,102 3,472,051 10,416,154 5,208,077 15,624,232 7,812,116 3,906,058 1,953,029 5,859,088 2,929,544 1,464,772 732,386 366,193

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