λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,001,095
36,001,095
3 × 5 × 13 × 232 × 349
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13 × 23^2 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 65,032,800
Proper Divisor Sum 29,031,705
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #36001079 ← → #36001099

Radix Representation

Decimal 36001095
Binary 10001001010101010101000111 (26 bits)
Octal 0o211252507
Hexadecimal 0x2255547

Divisor Catalog (48)

1 3 5 13 15 23 39 65 69 115 195 299 345 349 529 897 1,047 1,495 1,587 1,745 2,645 4,485 4,537 5,235 6,877 7,935 8,027 13,611 20,631 22,685 24,081 34,385 40,135 68,055 103,155 104,351 120,405 184,621 313,053 521,755 553,863 923,105 1,565,265 2,400,073 2,769,315 7,200,219 12,000,365 36,001,095

Collatz Trajectory (276 steps to reach 1)

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

36,001,095 108,003,286 54,001,643 162,004,930 81,002,465 243,007,396 121,503,698 60,751,849 182,255,548 91,127,774 45,563,887 136,691,662 68,345,831 205,037,494 102,518,747 307,556,242 153,778,121 461,334,364 230,667,182 115,333,591 346,000,774 173,000,387 519,001,162 259,500,581 778,501,744 389,250,872 194,625,436 97,312,718 48,656,359 145,969,078 72,984,539 218,953,618 109,476,809 328,430,428 164,215,214 82,107,607 246,322,822 123,161,411 369,484,234 184,742,117 554,226,352 277,113,176 138,556,588 69,278,294 34,639,147 103,917,442 51,958,721 155,876,164 77,938,082 38,969,041 116,907,124 58,453,562 29,226,781 87,680,344 43,840,172 21,920,086 10,960,043 32,880,130 16,440,065 49,320,196

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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