λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,129,016
33,129,016
23 × 23 × 401 × 449
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 23 × 401 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 65,124,000
Proper Divisor Sum 31,994,984
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #33129013 ← → #33129017

Radix Representation

Decimal 33129016
Binary 1111110011000001000111000 (25 bits)
Octal 0o176301070
Hexadecimal 0x1F98238

Divisor Catalog (32)

1 2 4 8 23 46 92 184 401 449 802 898 1,604 1,796 3,208 3,592 9,223 10,327 18,446 20,654 36,892 41,308 73,784 82,616 180,049 360,098 720,196 1,440,392 4,141,127 8,282,254 16,564,508 33,129,016

Collatz Trajectory (263 steps to reach 1)

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

33,129,016 16,564,508 8,282,254 4,141,127 12,423,382 6,211,691 18,635,074 9,317,537 27,952,612 13,976,306 6,988,153 20,964,460 10,482,230 5,241,115 15,723,346 7,861,673 23,585,020 11,792,510 5,896,255 17,688,766 8,844,383 26,533,150 13,266,575 39,799,726 19,899,863 59,699,590 29,849,795 89,549,386 44,774,693 134,324,080 67,162,040 33,581,020 16,790,510 8,395,255 25,185,766 12,592,883 37,778,650 18,889,325 56,667,976 28,333,988 14,166,994 7,083,497 21,250,492 10,625,246 5,312,623 15,937,870 7,968,935 23,906,806 11,953,403 35,860,210 17,930,105 53,790,316 26,895,158 13,447,579 40,342,738 20,171,369 60,514,108 30,257,054 15,128,527 45,385,582

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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