λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,077,530
32,077,530
2 × 32 × 5 × 107 × 3331
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 107 × 3331
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 84,206,304
Proper Divisor Sum 52,128,774
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #32077519 ← → #32077537

Radix Representation

Decimal 32077530
Binary 1111010010111011011011010 (25 bits)
Octal 0o172273332
Hexadecimal 0x1E976DA

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1,070 1,605 1,926 3,210 3,331 4,815 6,662 9,630 9,993 16,655 19,986 29,979 33,310 49,965 59,958 99,930 149,895 299,790 356,417 712,834 1,069,251 1,782,085 2,138,502 3,207,753 3,564,170 5,346,255 6,415,506 10,692,510 16,038,765 32,077,530

Collatz Trajectory (325 steps to reach 1)

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

32,077,530 16,038,765 48,116,296 24,058,148 12,029,074 6,014,537 18,043,612 9,021,806 4,510,903 13,532,710 6,766,355 20,299,066 10,149,533 30,448,600 15,224,300 7,612,150 3,806,075 11,418,226 5,709,113 17,127,340 8,563,670 4,281,835 12,845,506 6,422,753 19,268,260 9,634,130 4,817,065 14,451,196 7,225,598 3,612,799 10,838,398 5,419,199 16,257,598 8,128,799 24,386,398 12,193,199 36,579,598 18,289,799 54,869,398 27,434,699 82,304,098 41,152,049 123,456,148 61,728,074 30,864,037 92,592,112 46,296,056 23,148,028 11,574,014 5,787,007 17,361,022 8,680,511 26,041,534 13,020,767 39,062,302 19,531,151 58,593,454 29,296,727 87,890,182 43,945,091

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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