λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,970,215
36,970,215
3 × 5 × 29 × 37 × 2297
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 29 × 37 × 2297
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,873,280
Proper Divisor Sum 25,903,065
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36970187 ← → #36970217

Radix Representation

Decimal 36970215
Binary 10001101000001111011100111 (26 bits)
Octal 0o215017347
Hexadecimal 0x2341EE7

Divisor Catalog (32)

1 3 5 15 29 37 87 111 145 185 435 555 1,073 2,297 3,219 5,365 6,891 11,485 16,095 34,455 66,613 84,989 199,839 254,967 333,065 424,945 999,195 1,274,835 2,464,681 7,394,043 12,323,405 36,970,215

Collatz Trajectory (227 steps to reach 1)

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

36,970,215 110,910,646 55,455,323 166,365,970 83,182,985 249,548,956 124,774,478 62,387,239 187,161,718 93,580,859 280,742,578 140,371,289 421,113,868 210,556,934 105,278,467 315,835,402 157,917,701 473,753,104 236,876,552 118,438,276 59,219,138 29,609,569 88,828,708 44,414,354 22,207,177 66,621,532 33,310,766 16,655,383 49,966,150 24,983,075 74,949,226 37,474,613 112,423,840 56,211,920 28,105,960 14,052,980 7,026,490 3,513,245 10,539,736 5,269,868 2,634,934 1,317,467 3,952,402 1,976,201 5,928,604 2,964,302 1,482,151 4,446,454 2,223,227 6,669,682 3,334,841 10,004,524 5,002,262 2,501,131 7,503,394 3,751,697 11,255,092 5,627,546 2,813,773 8,441,320

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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