λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,395,327
61,395,327
34 × 7 × 19 × 41 × 139
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 7 × 19 × 41 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 113,836,800
Proper Divisor Sum 52,441,473
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #61395293 ← → #61395329

Radix Representation

Decimal 61395327
Binary 11101010001101000101111111 (26 bits)
Octal 0o352150577
Hexadecimal 0x3A8D17F

Divisor Catalog (60 of 80)

1 3 7 9 19 21 27 41 57 63 81 123 133 139 171 189 287 369 399 417 513 567 779 861 973 1,107 1,197 1,251 1,539 2,337 2,583 2,641 2,919 3,321 3,591 3,753 5,453 5,699 7,011 7,749 7,923 8,757 10,773 11,259 16,359 17,097 18,487 21,033 23,247 23,769 26,271 39,893 49,077 51,291 55,461 63,099 71,307 78,813 108,281 119,679

Collatz Trajectory (282 steps to reach 1)

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

61,395,327 184,185,982 92,092,991 276,278,974 138,139,487 414,418,462 207,209,231 621,627,694 310,813,847 932,441,542 466,220,771 1,398,662,314 699,331,157 2,097,993,472 1,048,996,736 524,498,368 262,249,184 131,124,592 65,562,296 32,781,148 16,390,574 8,195,287 24,585,862 12,292,931 36,878,794 18,439,397 55,318,192 27,659,096 13,829,548 6,914,774 3,457,387 10,372,162 5,186,081 15,558,244 7,779,122 3,889,561 11,668,684 5,834,342 2,917,171 8,751,514 4,375,757 13,127,272 6,563,636 3,281,818 1,640,909 4,922,728 2,461,364 1,230,682 615,341 1,846,024 923,012 461,506 230,753 692,260 346,130 173,065 519,196 259,598 129,799 389,398

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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