λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,928,315
80,928,315
34 × 5 × 13 × 19 × 809
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 13 × 19 × 809
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 164,656,800
Proper Divisor Sum 83,728,485
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #80928269 ← → #80928317

Radix Representation

Decimal 80928315
Binary 100110100101101111000111011 (27 bits)
Octal 0o464557073
Hexadecimal 0x4D2DE3B

Divisor Catalog (60 of 80)

1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 247 285 351 405 513 585 741 809 855 1,053 1,235 1,539 1,755 2,223 2,427 2,565 3,705 4,045 5,265 6,669 7,281 7,695 10,517 11,115 12,135 15,371 20,007 21,843 31,551 33,345 36,405 46,113 52,585 65,529 76,855 94,653 100,035 109,215 138,339 157,755 199,823 230,565

Collatz Trajectory (223 steps to reach 1)

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

80,928,315 242,784,946 121,392,473 364,177,420 182,088,710 91,044,355 273,133,066 136,566,533 409,699,600 204,849,800 102,424,900 51,212,450 25,606,225 76,818,676 38,409,338 19,204,669 57,614,008 28,807,004 14,403,502 7,201,751 21,605,254 10,802,627 32,407,882 16,203,941 48,611,824 24,305,912 12,152,956 6,076,478 3,038,239 9,114,718 4,557,359 13,672,078 6,836,039 20,508,118 10,254,059 30,762,178 15,381,089 46,143,268 23,071,634 11,535,817 34,607,452 17,303,726 8,651,863 25,955,590 12,977,795 38,933,386 19,466,693 58,400,080 29,200,040 14,600,020 7,300,010 3,650,005 10,950,016 5,475,008 2,737,504 1,368,752 684,376 342,188 171,094 85,547

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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