λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,663,998
42,663,998
2 × 13 × 31 × 43 × 1231
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 31 × 43 × 1231
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,855,552
Proper Divisor Sum 30,191,554
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #42663983 ← → #42664009

Radix Representation

Decimal 42663998
Binary 10100010110000000000111110 (26 bits)
Octal 0o242600076
Hexadecimal 0x28B003E

Divisor Catalog (32)

1 2 13 26 31 43 62 86 403 559 806 1,118 1,231 1,333 2,462 2,666 16,003 17,329 32,006 34,658 38,161 52,933 76,322 105,866 496,093 688,129 992,186 1,376,258 1,640,923 3,281,846 21,331,999 42,663,998

Collatz Trajectory (266 steps to reach 1)

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

42,663,998 21,331,999 63,995,998 31,997,999 95,993,998 47,996,999 143,990,998 71,995,499 215,986,498 107,993,249 323,979,748 161,989,874 80,994,937 242,984,812 121,492,406 60,746,203 182,238,610 91,119,305 273,357,916 136,678,958 68,339,479 205,018,438 102,509,219 307,527,658 153,763,829 461,291,488 230,645,744 115,322,872 57,661,436 28,830,718 14,415,359 43,246,078 21,623,039 64,869,118 32,434,559 97,303,678 48,651,839 145,955,518 72,977,759 218,933,278 109,466,639 328,399,918 164,199,959 492,599,878 246,299,939 738,899,818 369,449,909 1,108,349,728 554,174,864 277,087,432 138,543,716 69,271,858 34,635,929 103,907,788 51,953,894 25,976,947 77,930,842 38,965,421 116,896,264 58,448,132

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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