λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,737,015
36,737,015
5 × 73 × 31 × 691
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7^3 × 31 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 53,145,600
Proper Divisor Sum 16,408,585
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #36737011 ← → #36737021

Radix Representation

Decimal 36737015
Binary 10001100001000111111110111 (26 bits)
Octal 0o214107767
Hexadecimal 0x2308FF7

Divisor Catalog (32)

1 5 7 31 35 49 155 217 245 343 691 1,085 1,519 1,715 3,455 4,837 7,595 10,633 21,421 24,185 33,859 53,165 107,105 149,947 169,295 237,013 749,735 1,049,629 1,185,065 5,248,145 7,347,403 36,737,015

Collatz Trajectory (240 steps to reach 1)

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

36,737,015 110,211,046 55,105,523 165,316,570 82,658,285 247,974,856 123,987,428 61,993,714 30,996,857 92,990,572 46,495,286 23,247,643 69,742,930 34,871,465 104,614,396 52,307,198 26,153,599 78,460,798 39,230,399 117,691,198 58,845,599 176,536,798 88,268,399 264,805,198 132,402,599 397,207,798 198,603,899 595,811,698 297,905,849 893,717,548 446,858,774 223,429,387 670,288,162 335,144,081 1,005,432,244 502,716,122 251,358,061 754,074,184 377,037,092 188,518,546 94,259,273 282,777,820 141,388,910 70,694,455 212,083,366 106,041,683 318,125,050 159,062,525 477,187,576 238,593,788 119,296,894 59,648,447 178,945,342 89,472,671 268,418,014 134,209,007 402,627,022 201,313,511 603,940,534 301,970,267

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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