λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,344,262
61,344,262
2 × 7 × 17 × 67 × 3847
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 17 × 67 × 3847
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 113,038,848
Proper Divisor Sum 51,694,586
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #61344233 ← → #61344263

Radix Representation

Decimal 61344262
Binary 11101010000000101000000110 (26 bits)
Octal 0o352005006
Hexadecimal 0x3A80A06

Divisor Catalog (32)

1 2 7 14 17 34 67 119 134 238 469 938 1,139 2,278 3,847 7,694 7,973 15,946 26,929 53,858 65,399 130,798 257,749 457,793 515,498 915,586 1,804,243 3,608,486 4,381,733 8,763,466 30,672,131 61,344,262

Collatz Trajectory (189 steps to reach 1)

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

61,344,262 30,672,131 92,016,394 46,008,197 138,024,592 69,012,296 34,506,148 17,253,074 8,626,537 25,879,612 12,939,806 6,469,903 19,409,710 9,704,855 29,114,566 14,557,283 43,671,850 21,835,925 65,507,776 32,753,888 16,376,944 8,188,472 4,094,236 2,047,118 1,023,559 3,070,678 1,535,339 4,606,018 2,303,009 6,909,028 3,454,514 1,727,257 5,181,772 2,590,886 1,295,443 3,886,330 1,943,165 5,829,496 2,914,748 1,457,374 728,687 2,186,062 1,093,031 3,279,094 1,639,547 4,918,642 2,459,321 7,377,964 3,688,982 1,844,491 5,533,474 2,766,737 8,300,212 4,150,106 2,075,053 6,225,160 3,112,580 1,556,290 778,145 2,334,436

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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