λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,714,825
57,714,825
3 × 52 × 7 × 47 × 2339
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 47 × 2339
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 111,421,440
Proper Divisor Sum 53,706,615
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #57714823 ← → #57714829

Radix Representation

Decimal 57714825
Binary 11011100001010100010001001 (26 bits)
Octal 0o334124211
Hexadecimal 0x370A889

Divisor Catalog (48)

1 3 5 7 15 21 25 35 47 75 105 141 175 235 329 525 705 987 1,175 1,645 2,339 3,525 4,935 7,017 8,225 11,695 16,373 24,675 35,085 49,119 58,475 81,865 109,933 175,425 245,595 329,799 409,325 549,665 769,531 1,227,975 1,648,995 2,308,593 2,748,325 3,847,655 8,244,975 11,542,965 19,238,275 57,714,825

Collatz Trajectory (375 steps to reach 1)

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

57,714,825 173,144,476 86,572,238 43,286,119 129,858,358 64,929,179 194,787,538 97,393,769 292,181,308 146,090,654 73,045,327 219,135,982 109,567,991 328,703,974 164,351,987 493,055,962 246,527,981 739,583,944 369,791,972 184,895,986 92,447,993 277,343,980 138,671,990 69,335,995 208,007,986 104,003,993 312,011,980 156,005,990 78,002,995 234,008,986 117,004,493 351,013,480 175,506,740 87,753,370 43,876,685 131,630,056 65,815,028 32,907,514 16,453,757 49,361,272 24,680,636 12,340,318 6,170,159 18,510,478 9,255,239 27,765,718 13,882,859 41,648,578 20,824,289 62,472,868 31,236,434 15,618,217 46,854,652 23,427,326 11,713,663 35,140,990 17,570,495 52,711,486 26,355,743 79,067,230

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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