λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,912,975
36,912,975
3 × 52 × 11 × 101 × 443
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 101 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 67,388,544
Proper Divisor Sum 30,475,569
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36912943 ← → #36913031

Radix Representation

Decimal 36912975
Binary 10001100110011111101001111 (26 bits)
Octal 0o214637517
Hexadecimal 0x2333F4F

Divisor Catalog (48)

1 3 5 11 15 25 33 55 75 101 165 275 303 443 505 825 1,111 1,329 1,515 2,215 2,525 3,333 4,873 5,555 6,645 7,575 11,075 14,619 16,665 24,365 27,775 33,225 44,743 73,095 83,325 121,825 134,229 223,715 365,475 492,173 671,145 1,118,575 1,476,519 2,460,865 3,355,725 7,382,595 12,304,325 36,912,975

Collatz Trajectory (227 steps to reach 1)

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

36,912,975 110,738,926 55,369,463 166,108,390 83,054,195 249,162,586 124,581,293 373,743,880 186,871,940 93,435,970 46,717,985 140,153,956 70,076,978 35,038,489 105,115,468 52,557,734 26,278,867 78,836,602 39,418,301 118,254,904 59,127,452 29,563,726 14,781,863 44,345,590 22,172,795 66,518,386 33,259,193 99,777,580 49,888,790 24,944,395 74,833,186 37,416,593 112,249,780 56,124,890 28,062,445 84,187,336 42,093,668 21,046,834 10,523,417 31,570,252 15,785,126 7,892,563 23,677,690 11,838,845 35,516,536 17,758,268 8,879,134 4,439,567 13,318,702 6,659,351 19,978,054 9,989,027 29,967,082 14,983,541 44,950,624 22,475,312 11,237,656 5,618,828 2,809,414 1,404,707

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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