λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,700,701
57,700,701
33 × 19 × 137 × 821
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 19 × 137 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 90,748,800
Proper Divisor Sum 33,048,099
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #57700681 ← → #57700717

Radix Representation

Decimal 57700701
Binary 11011100000111000101011101 (26 bits)
Octal 0o334070535
Hexadecimal 0x370715D

Divisor Catalog (32)

1 3 9 19 27 57 137 171 411 513 821 1,233 2,463 2,603 3,699 7,389 7,809 15,599 22,167 23,427 46,797 70,281 112,477 140,391 337,431 421,173 1,012,293 2,137,063 3,036,879 6,411,189 19,233,567 57,700,701

Collatz Trajectory (282 steps to reach 1)

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

57,700,701 173,102,104 86,551,052 43,275,526 21,637,763 64,913,290 32,456,645 97,369,936 48,684,968 24,342,484 12,171,242 6,085,621 18,256,864 9,128,432 4,564,216 2,282,108 1,141,054 570,527 1,711,582 855,791 2,567,374 1,283,687 3,851,062 1,925,531 5,776,594 2,888,297 8,664,892 4,332,446 2,166,223 6,498,670 3,249,335 9,748,006 4,874,003 14,622,010 7,311,005 21,933,016 10,966,508 5,483,254 2,741,627 8,224,882 4,112,441 12,337,324 6,168,662 3,084,331 9,252,994 4,626,497 13,879,492 6,939,746 3,469,873 10,409,620 5,204,810 2,602,405 7,807,216 3,903,608 1,951,804 975,902 487,951 1,463,854 731,927 2,195,782

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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