λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,737,625
57,737,625
3 × 53 × 11 × 13997
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^3 × 11 × 13997
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 104,817,024
Proper Divisor Sum 47,079,399
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57737623 ← → #57737651

Radix Representation

Decimal 57737625
Binary 11011100010000000110011001 (26 bits)
Octal 0o334200631
Hexadecimal 0x3710199

Divisor Catalog (32)

1 3 5 11 15 25 33 55 75 125 165 275 375 825 1,375 4,125 13,997 41,991 69,985 153,967 209,955 349,925 461,901 769,835 1,049,775 1,749,625 2,309,505 3,849,175 5,248,875 11,547,525 19,245,875 57,737,625

Collatz Trajectory (300 steps to reach 1)

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

57,737,625 173,212,876 86,606,438 43,303,219 129,909,658 64,954,829 194,864,488 97,432,244 48,716,122 24,358,061 73,074,184 36,537,092 18,268,546 9,134,273 27,402,820 13,701,410 6,850,705 20,552,116 10,276,058 5,138,029 15,414,088 7,707,044 3,853,522 1,926,761 5,780,284 2,890,142 1,445,071 4,335,214 2,167,607 6,502,822 3,251,411 9,754,234 4,877,117 14,631,352 7,315,676 3,657,838 1,828,919 5,486,758 2,743,379 8,230,138 4,115,069 12,345,208 6,172,604 3,086,302 1,543,151 4,629,454 2,314,727 6,944,182 3,472,091 10,416,274 5,208,137 15,624,412 7,812,206 3,906,103 11,718,310 5,859,155 17,577,466 8,788,733 26,366,200 13,183,100

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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