λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,735,705
36,735,705
32 × 5 × 673 × 1213
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 673 × 1213
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 63,822,408
Proper Divisor Sum 27,086,703
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36735667 ← → #36735719

Radix Representation

Decimal 36735705
Binary 10001100001000101011011001 (26 bits)
Octal 0o214105331
Hexadecimal 0x2308AD9

Divisor Catalog (24)

1 3 5 9 15 45 673 1,213 2,019 3,365 3,639 6,057 6,065 10,095 10,917 18,195 30,285 54,585 816,349 2,449,047 4,081,745 7,347,141 12,245,235 36,735,705

Collatz Trajectory (227 steps to reach 1)

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

36,735,705 110,207,116 55,103,558 27,551,779 82,655,338 41,327,669 123,983,008 61,991,504 30,995,752 15,497,876 7,748,938 3,874,469 11,623,408 5,811,704 2,905,852 1,452,926 726,463 2,179,390 1,089,695 3,269,086 1,634,543 4,903,630 2,451,815 7,355,446 3,677,723 11,033,170 5,516,585 16,549,756 8,274,878 4,137,439 12,412,318 6,206,159 18,618,478 9,309,239 27,927,718 13,963,859 41,891,578 20,945,789 62,837,368 31,418,684 15,709,342 7,854,671 23,564,014 11,782,007 35,346,022 17,673,011 53,019,034 26,509,517 79,528,552 39,764,276 19,882,138 9,941,069 29,823,208 14,911,604 7,455,802 3,727,901 11,183,704 5,591,852 2,795,926 1,397,963

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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