λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,615,329
13,615,329
3 × 7 × 13 × 53 × 941
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13 × 53 × 941
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,788,864
Proper Divisor Sum 9,173,535
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #13615313 ← → #13615331

Radix Representation

Decimal 13615329
Binary 110011111100000011100001 (24 bits)
Octal 0o63740341
Hexadecimal 0xCFC0E1

Divisor Catalog (32)

1 3 7 13 21 39 53 91 159 273 371 689 941 1,113 2,067 2,823 4,823 6,587 12,233 14,469 19,761 36,699 49,873 85,631 149,619 256,893 349,111 648,349 1,047,333 1,945,047 4,538,443 13,615,329

Collatz Trajectory (254 steps to reach 1)

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

13,615,329 40,845,988 20,422,994 10,211,497 30,634,492 15,317,246 7,658,623 22,975,870 11,487,935 34,463,806 17,231,903 51,695,710 25,847,855 77,543,566 38,771,783 116,315,350 58,157,675 174,473,026 87,236,513 261,709,540 130,854,770 65,427,385 196,282,156 98,141,078 49,070,539 147,211,618 73,605,809 220,817,428 110,408,714 55,204,357 165,613,072 82,806,536 41,403,268 20,701,634 10,350,817 31,052,452 15,526,226 7,763,113 23,289,340 11,644,670 5,822,335 17,467,006 8,733,503 26,200,510 13,100,255 39,300,766 19,650,383 58,951,150 29,475,575 88,426,726 44,213,363 132,640,090 66,320,045 198,960,136 99,480,068 49,740,034 24,870,017 74,610,052 37,305,026 18,652,513

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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