λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,737,934
57,737,934
2 × 34 × 31 × 11497
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 31 × 11497
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 133,560,768
Proper Divisor Sum 75,822,834
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57737929 ← → #57737951

Radix Representation

Decimal 57737934
Binary 11011100010000001011001110 (26 bits)
Octal 0o334201316
Hexadecimal 0x37102CE

Divisor Catalog (40)

1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1,674 2,511 5,022 11,497 22,994 34,491 68,982 103,473 206,946 310,419 356,407 620,838 712,814 931,257 1,069,221 1,862,514 2,138,442 3,207,663 6,415,326 9,622,989 19,245,978 28,868,967 57,737,934

Collatz Trajectory (238 steps to reach 1)

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

57,737,934 28,868,967 86,606,902 43,303,451 129,910,354 64,955,177 194,865,532 97,432,766 48,716,383 146,149,150 73,074,575 219,223,726 109,611,863 328,835,590 164,417,795 493,253,386 246,626,693 739,880,080 369,940,040 184,970,020 92,485,010 46,242,505 138,727,516 69,363,758 34,681,879 104,045,638 52,022,819 156,068,458 78,034,229 234,102,688 117,051,344 58,525,672 29,262,836 14,631,418 7,315,709 21,947,128 10,973,564 5,486,782 2,743,391 8,230,174 4,115,087 12,345,262 6,172,631 18,517,894 9,258,947 27,776,842 13,888,421 41,665,264 20,832,632 10,416,316 5,208,158 2,604,079 7,812,238 3,906,119 11,718,358 5,859,179 17,577,538 8,788,769 26,366,308 13,183,154

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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