λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,712,175
57,712,175
52 × 23 × 29 × 3461
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 23 × 29 × 3461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 77,271,840
Proper Divisor Sum 19,559,665
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #57712169 ← → #57712199

Radix Representation

Decimal 57712175
Binary 11011100001001111000101111 (26 bits)
Octal 0o334117057
Hexadecimal 0x3709E2F

Divisor Catalog (24)

1 5 23 25 29 115 145 575 667 725 3,335 3,461 16,675 17,305 79,603 86,525 100,369 398,015 501,845 1,990,075 2,308,487 2,509,225 11,542,435 57,712,175

Collatz Trajectory (181 steps to reach 1)

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

57,712,175 173,136,526 86,568,263 259,704,790 129,852,395 389,557,186 194,778,593 584,335,780 292,167,890 146,083,945 438,251,836 219,125,918 109,562,959 328,688,878 164,344,439 493,033,318 246,516,659 739,549,978 369,774,989 1,109,324,968 554,662,484 277,331,242 138,665,621 415,996,864 207,998,432 103,999,216 51,999,608 25,999,804 12,999,902 6,499,951 19,499,854 9,749,927 29,249,782 14,624,891 43,874,674 21,937,337 65,812,012 32,906,006 16,453,003 49,359,010 24,679,505 74,038,516 37,019,258 18,509,629 55,528,888 27,764,444 13,882,222 6,941,111 20,823,334 10,411,667 31,235,002 15,617,501 46,852,504 23,426,252 11,713,126 5,856,563 17,569,690 8,784,845 26,354,536 13,177,268

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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