λ
Ratio Atlas
Atlas › Integer Profiles › Node 54,855,073
54,855,073
7 × 13 × 17 × 59 × 601
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 13 × 17 × 59 × 601
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,817,920
Proper Divisor Sum 17,962,847
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #54855049 ← → #54855079

Radix Representation

Decimal 54855073
Binary 11010001010000010110100001 (26 bits)
Octal 0o321202641
Hexadecimal 0x34505A1

Divisor Catalog (32)

1 7 13 17 59 91 119 221 413 601 767 1,003 1,547 4,207 5,369 7,021 7,813 10,217 13,039 35,459 54,691 71,519 91,273 132,821 248,213 460,967 602,803 929,747 3,226,769 4,219,621 7,836,439 54,855,073

Collatz Trajectory (225 steps to reach 1)

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

54,855,073 164,565,220 82,282,610 41,141,305 123,423,916 61,711,958 30,855,979 92,567,938 46,283,969 138,851,908 69,425,954 34,712,977 104,138,932 52,069,466 26,034,733 78,104,200 39,052,100 19,526,050 9,763,025 29,289,076 14,644,538 7,322,269 21,966,808 10,983,404 5,491,702 2,745,851 8,237,554 4,118,777 12,356,332 6,178,166 3,089,083 9,267,250 4,633,625 13,900,876 6,950,438 3,475,219 10,425,658 5,212,829 15,638,488 7,819,244 3,909,622 1,954,811 5,864,434 2,932,217 8,796,652 4,398,326 2,199,163 6,597,490 3,298,745 9,896,236 4,948,118 2,474,059 7,422,178 3,711,089 11,133,268 5,566,634 2,783,317 8,349,952 4,174,976 2,087,488

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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