λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,633,752
13,633,752
23 × 3 × 11 × 43 × 1201
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 43 × 1201
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 38,079,360
Proper Divisor Sum 24,445,608
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #13633751 ← → #13633757

Radix Representation

Decimal 13633752
Binary 110100000000100011011000 (24 bits)
Octal 0o64004330
Hexadecimal 0xD008D8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1,032 1,201 1,419 1,892 2,402 2,838 3,603 3,784 4,804 5,676 7,206 9,608 11,352 13,211 14,412 26,422 28,824 39,633 51,643 52,844 79,266 103,286 105,688 154,929 158,532 206,572 309,858 317,064 413,144 568,073 619,716 1,136,146 1,239,432 1,704,219 2,272,292

Collatz Trajectory (135 steps to reach 1)

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

13,633,752 6,816,876 3,408,438 1,704,219 5,112,658 2,556,329 7,668,988 3,834,494 1,917,247 5,751,742 2,875,871 8,627,614 4,313,807 12,941,422 6,470,711 19,412,134 9,706,067 29,118,202 14,559,101 43,677,304 21,838,652 10,919,326 5,459,663 16,378,990 8,189,495 24,568,486 12,284,243 36,852,730 18,426,365 55,279,096 27,639,548 13,819,774 6,909,887 20,729,662 10,364,831 31,094,494 15,547,247 46,641,742 23,320,871 69,962,614 34,981,307 104,943,922 52,471,961 157,415,884 78,707,942 39,353,971 118,061,914 59,030,957 177,092,872 88,546,436 44,273,218 22,136,609 66,409,828 33,204,914 16,602,457 49,807,372 24,903,686 12,451,843 37,355,530 18,677,765

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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