λ
Ratio Atlas
Atlas › Integer Profiles › Node 54,816,748
54,816,748
22 × 7 × 19 × 167 × 617
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 167 × 617
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 116,282,880
Proper Divisor Sum 61,466,132
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #54816743 ← → #54816763

Radix Representation

Decimal 54816748
Binary 11010001000110111111101100 (26 bits)
Octal 0o321067754
Hexadecimal 0x3446FEC

Divisor Catalog (48)

1 2 4 7 14 19 28 38 76 133 167 266 334 532 617 668 1,169 1,234 2,338 2,468 3,173 4,319 4,676 6,346 8,638 11,723 12,692 17,276 22,211 23,446 44,422 46,892 82,061 88,844 103,039 164,122 206,078 328,244 412,156 721,273 1,442,546 1,957,741 2,885,092 3,915,482 7,830,964 13,704,187 27,408,374 54,816,748

Collatz Trajectory (287 steps to reach 1)

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

54,816,748 27,408,374 13,704,187 41,112,562 20,556,281 61,668,844 30,834,422 15,417,211 46,251,634 23,125,817 69,377,452 34,688,726 17,344,363 52,033,090 26,016,545 78,049,636 39,024,818 19,512,409 58,537,228 29,268,614 14,634,307 43,902,922 21,951,461 65,854,384 32,927,192 16,463,596 8,231,798 4,115,899 12,347,698 6,173,849 18,521,548 9,260,774 4,630,387 13,891,162 6,945,581 20,836,744 10,418,372 5,209,186 2,604,593 7,813,780 3,906,890 1,953,445 5,860,336 2,930,168 1,465,084 732,542 366,271 1,098,814 549,407 1,648,222 824,111 2,472,334 1,236,167 3,708,502 1,854,251 5,562,754 2,781,377 8,344,132 4,172,066 2,086,033

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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