λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,700,698
57,700,698
2 × 3 × 11 × 23 × 38011
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 23 × 38011
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 131,369,472
Proper Divisor Sum 73,668,774
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57700681 ← → #57700717

Radix Representation

Decimal 57700698
Binary 11011100000111000101011010 (26 bits)
Octal 0o334070532
Hexadecimal 0x370715A

Divisor Catalog (32)

1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1,518 38,011 76,022 114,033 228,066 418,121 836,242 874,253 1,254,363 1,748,506 2,508,726 2,622,759 5,245,518 9,616,783 19,233,566 28,850,349 57,700,698

Collatz Trajectory (282 steps to reach 1)

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

57,700,698 28,850,349 86,551,048 43,275,524 21,637,762 10,818,881 32,456,644 16,228,322 8,114,161 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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