λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,320,050
32,320,050
2 × 3 × 52 × 7 × 30781
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 30781
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,607,232
Proper Divisor Sum 59,287,182
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #32320049 ← → #32320051

Radix Representation

Decimal 32320050
Binary 1111011010010101000110010 (25 bits)
Octal 0o173225062
Hexadecimal 0x1ED2A32

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1,050 30,781 61,562 92,343 153,905 184,686 215,467 307,810 430,934 461,715 646,401 769,525 923,430 1,077,335 1,292,802 1,539,050 2,154,670 2,308,575 3,232,005 4,617,150 5,386,675 6,464,010 10,773,350 16,160,025 32,320,050

Collatz Trajectory (276 steps to reach 1)

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

32,320,050 16,160,025 48,480,076 24,240,038 12,120,019 36,360,058 18,180,029 54,540,088 27,270,044 13,635,022 6,817,511 20,452,534 10,226,267 30,678,802 15,339,401 46,018,204 23,009,102 11,504,551 34,513,654 17,256,827 51,770,482 25,885,241 77,655,724 38,827,862 19,413,931 58,241,794 29,120,897 87,362,692 43,681,346 21,840,673 65,522,020 32,761,010 16,380,505 49,141,516 24,570,758 12,285,379 36,856,138 18,428,069 55,284,208 27,642,104 13,821,052 6,910,526 3,455,263 10,365,790 5,182,895 15,548,686 7,774,343 23,323,030 11,661,515 34,984,546 17,492,273 52,476,820 26,238,410 13,119,205 39,357,616 19,678,808 9,839,404 4,919,702 2,459,851 7,379,554

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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