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Atlas › Integer Profiles › Node 61,728,124

61,728,124

22 × 29 × 41 × 12979
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 29 × 41 × 12979
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 114,483,600
Proper Divisor Sum 52,755,476
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #61728119 ← → #61728127

Radix Representation

Decimal 61728124
Binary 11101011011110010101111100 (26 bits)
Octal 0o353362574
Hexadecimal 0x3ADE57C

Divisor Catalog (24)

1 2 4 29 41 58 82 116 164 1,189 2,378 4,756 12,979 25,958 51,916 376,391 532,139 752,782 1,064,278 1,505,564 2,128,556 15,432,031 30,864,062 61,728,124

Collatz Trajectory (357 steps to reach 1)

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

61,728,124 30,864,062 15,432,031 46,296,094 23,148,047 69,444,142 34,722,071 104,166,214 52,083,107 156,249,322 78,124,661 234,373,984 117,186,992 58,593,496 29,296,748 14,648,374 7,324,187 21,972,562 10,986,281 32,958,844 16,479,422 8,239,711 24,719,134 12,359,567 37,078,702 18,539,351 55,618,054 27,809,027 83,427,082 41,713,541 125,140,624 62,570,312 31,285,156 15,642,578 7,821,289 23,463,868 11,731,934 5,865,967 17,597,902 8,798,951 26,396,854 13,198,427 39,595,282 19,797,641 59,392,924 29,696,462 14,848,231 44,544,694 22,272,347 66,817,042 33,408,521 100,225,564 50,112,782 25,056,391 75,169,174 37,584,587 112,753,762 56,376,881 169,130,644 84,565,322

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