λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,915,375
36,915,375
3 × 53 × 74 × 41
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^3 × 7^4 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 73,408,608
Proper Divisor Sum 36,493,233
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36915367 ← → #36915377

Radix Representation

Decimal 36915375
Binary 10001100110100100010101111 (26 bits)
Octal 0o214644257
Hexadecimal 0x23348AF

Divisor Catalog (60 of 80)

1 3 5 7 15 21 25 35 41 49 75 105 123 125 147 175 205 245 287 343 375 525 615 735 861 875 1,025 1,029 1,225 1,435 1,715 2,009 2,401 2,625 3,075 3,675 4,305 5,125 5,145 6,027 6,125 7,175 7,203 8,575 10,045 12,005 14,063 15,375 18,375 21,525 25,725 30,135 35,875 36,015 42,189 42,875 50,225 60,025 70,315 98,441

Collatz Trajectory (245 steps to reach 1)

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

36,915,375 110,746,126 55,373,063 166,119,190 83,059,595 249,178,786 124,589,393 373,768,180 186,884,090 93,442,045 280,326,136 140,163,068 70,081,534 35,040,767 105,122,302 52,561,151 157,683,454 78,841,727 236,525,182 118,262,591 354,787,774 177,393,887 532,181,662 266,090,831 798,272,494 399,136,247 1,197,408,742 598,704,371 1,796,113,114 898,056,557 2,694,169,672 1,347,084,836 673,542,418 336,771,209 1,010,313,628 505,156,814 252,578,407 757,735,222 378,867,611 1,136,602,834 568,301,417 1,704,904,252 852,452,126 426,226,063 1,278,678,190 639,339,095 1,918,017,286 959,008,643 2,877,025,930 1,438,512,965 4,315,538,896 2,157,769,448 1,078,884,724 539,442,362 269,721,181 809,163,544 404,581,772 202,290,886 101,145,443 303,436,330

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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