λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,634,014
61,634,014
2 × 13 × 31 × 47 × 1627
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 31 × 47 × 1627
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 105,025,536
Proper Divisor Sum 43,391,522
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #61634009 ← → #61634017

Radix Representation

Decimal 61634014
Binary 11101011000111010111011110 (26 bits)
Octal 0o353072736
Hexadecimal 0x3AC75DE

Divisor Catalog (32)

1 2 13 26 31 47 62 94 403 611 806 1,222 1,457 1,627 2,914 3,254 18,941 21,151 37,882 42,302 50,437 76,469 100,874 152,938 655,681 994,097 1,311,362 1,988,194 2,370,539 4,741,078 30,817,007 61,634,014

Collatz Trajectory (282 steps to reach 1)

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

61,634,014 30,817,007 92,451,022 46,225,511 138,676,534 69,338,267 208,014,802 104,007,401 312,022,204 156,011,102 78,005,551 234,016,654 117,008,327 351,024,982 175,512,491 526,537,474 263,268,737 789,806,212 394,903,106 197,451,553 592,354,660 296,177,330 148,088,665 444,265,996 222,132,998 111,066,499 333,199,498 166,599,749 499,799,248 249,899,624 124,949,812 62,474,906 31,237,453 93,712,360 46,856,180 23,428,090 11,714,045 35,142,136 17,571,068 8,785,534 4,392,767 13,178,302 6,589,151 19,767,454 9,883,727 29,651,182 14,825,591 44,476,774 22,238,387 66,715,162 33,357,581 100,072,744 50,036,372 25,018,186 12,509,093 37,527,280 18,763,640 9,381,820 4,690,910 2,345,455

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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