λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,766,516
57,766,516
22 × 31 × 199 × 2341
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 31 × 199 × 2341
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 104,921,600
Proper Divisor Sum 47,155,084
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57766481 ← → #57766519

Radix Representation

Decimal 57766516
Binary 11011100010111001001110100 (26 bits)
Octal 0o334271164
Hexadecimal 0x3717274

Divisor Catalog (24)

1 2 4 31 62 124 199 398 796 2,341 4,682 6,169 9,364 12,338 24,676 72,571 145,142 290,284 465,859 931,718 1,863,436 14,441,629 28,883,258 57,766,516

Collatz Trajectory (238 steps to reach 1)

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

57,766,516 28,883,258 14,441,629 43,324,888 21,662,444 10,831,222 5,415,611 16,246,834 8,123,417 24,370,252 12,185,126 6,092,563 18,277,690 9,138,845 27,416,536 13,708,268 6,854,134 3,427,067 10,281,202 5,140,601 15,421,804 7,710,902 3,855,451 11,566,354 5,783,177 17,349,532 8,674,766 4,337,383 13,012,150 6,506,075 19,518,226 9,759,113 29,277,340 14,638,670 7,319,335 21,958,006 10,979,003 32,937,010 16,468,505 49,405,516 24,702,758 12,351,379 37,054,138 18,527,069 55,581,208 27,790,604 13,895,302 6,947,651 20,842,954 10,421,477 31,264,432 15,632,216 7,816,108 3,908,054 1,954,027 5,862,082 2,931,041 8,793,124 4,396,562 2,198,281

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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