λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,243,835
80,243,835
3 × 5 × 7 × 59 × 12953
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 59 × 12953
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 149,230,080
Proper Divisor Sum 68,986,245
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #80243833 ← → #80243843

Radix Representation

Decimal 80243835
Binary 100110010000110110001111011 (27 bits)
Octal 0o462066173
Hexadecimal 0x4C86C7B

Divisor Catalog (32)

1 3 5 7 15 21 35 59 105 177 295 413 885 1,239 2,065 6,195 12,953 38,859 64,765 90,671 194,295 272,013 453,355 764,227 1,360,065 2,292,681 3,821,135 5,349,589 11,463,405 16,048,767 26,747,945 80,243,835

Collatz Trajectory (254 steps to reach 1)

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

80,243,835 240,731,506 120,365,753 361,097,260 180,548,630 90,274,315 270,822,946 135,411,473 406,234,420 203,117,210 101,558,605 304,675,816 152,337,908 76,168,954 38,084,477 114,253,432 57,126,716 28,563,358 14,281,679 42,845,038 21,422,519 64,267,558 32,133,779 96,401,338 48,200,669 144,602,008 72,301,004 36,150,502 18,075,251 54,225,754 27,112,877 81,338,632 40,669,316 20,334,658 10,167,329 30,501,988 15,250,994 7,625,497 22,876,492 11,438,246 5,719,123 17,157,370 8,578,685 25,736,056 12,868,028 6,434,014 3,217,007 9,651,022 4,825,511 14,476,534 7,238,267 21,714,802 10,857,401 32,572,204 16,286,102 8,143,051 24,429,154 12,214,577 36,643,732 18,321,866

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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