λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,711,856
57,711,856
24 × 29 × 61 × 2039
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 29 × 61 × 2039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 117,626,400
Proper Divisor Sum 59,914,544
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #57711847 ← → #57711869

Radix Representation

Decimal 57711856
Binary 11011100001001110011110000 (26 bits)
Octal 0o334116360
Hexadecimal 0x3709CF0

Divisor Catalog (40)

1 2 4 8 16 29 58 61 116 122 232 244 464 488 976 1,769 2,039 3,538 4,078 7,076 8,156 14,152 16,312 28,304 32,624 59,131 118,262 124,379 236,524 248,758 473,048 497,516 946,096 995,032 1,990,064 3,606,991 7,213,982 14,427,964 28,855,928 57,711,856

Collatz Trajectory (132 steps to reach 1)

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

57,711,856 28,855,928 14,427,964 7,213,982 3,606,991 10,820,974 5,410,487 16,231,462 8,115,731 24,347,194 12,173,597 36,520,792 18,260,396 9,130,198 4,565,099 13,695,298 6,847,649 20,542,948 10,271,474 5,135,737 15,407,212 7,703,606 3,851,803 11,555,410 5,777,705 17,333,116 8,666,558 4,333,279 12,999,838 6,499,919 19,499,758 9,749,879 29,249,638 14,624,819 43,874,458 21,937,229 65,811,688 32,905,844 16,452,922 8,226,461 24,679,384 12,339,692 6,169,846 3,084,923 9,254,770 4,627,385 13,882,156 6,941,078 3,470,539 10,411,618 5,205,809 15,617,428 7,808,714 3,904,357 11,713,072 5,856,536 2,928,268 1,464,134 732,067 2,196,202

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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