λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,101,402
37,101,402
2 × 34 × 13 × 79 × 223
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 13 × 79 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 91,069,440
Proper Divisor Sum 53,968,038
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #37101401 ← → #37101409

Radix Representation

Decimal 37101402
Binary 10001101100001111101011010 (26 bits)
Octal 0o215417532
Hexadecimal 0x2361F5A

Divisor Catalog (60 of 80)

1 2 3 6 9 13 18 26 27 39 54 78 79 81 117 158 162 223 234 237 351 446 474 669 702 711 1,027 1,053 1,338 1,422 2,007 2,054 2,106 2,133 2,899 3,081 4,014 4,266 5,798 6,021 6,162 6,399 8,697 9,243 12,042 12,798 17,394 17,617 18,063 18,486 26,091 27,729 35,234 36,126 52,182 52,851 55,458 78,273 83,187 105,702

Collatz Trajectory (183 steps to reach 1)

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

37,101,402 18,550,701 55,652,104 27,826,052 13,913,026 6,956,513 20,869,540 10,434,770 5,217,385 15,652,156 7,826,078 3,913,039 11,739,118 5,869,559 17,608,678 8,804,339 26,413,018 13,206,509 39,619,528 19,809,764 9,904,882 4,952,441 14,857,324 7,428,662 3,714,331 11,142,994 5,571,497 16,714,492 8,357,246 4,178,623 12,535,870 6,267,935 18,803,806 9,401,903 28,205,710 14,102,855 42,308,566 21,154,283 63,462,850 31,731,425 95,194,276 47,597,138 23,798,569 71,395,708 35,697,854 17,848,927 53,546,782 26,773,391 80,320,174 40,160,087 120,480,262 60,240,131 180,720,394 90,360,197 271,080,592 135,540,296 67,770,148 33,885,074 16,942,537 50,827,612

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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