λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,007,457
61,007,457
3 × 7 × 47 × 113 × 547
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 47 × 113 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 95,956,992
Proper Divisor Sum 34,949,535
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #61007449 ← → #61007459

Radix Representation

Decimal 61007457
Binary 11101000101110011001100001 (26 bits)
Octal 0o350563141
Hexadecimal 0x3A2E661

Divisor Catalog (32)

1 3 7 21 47 113 141 329 339 547 791 987 1,641 2,373 3,829 5,311 11,487 15,933 25,709 37,177 61,811 77,127 111,531 179,963 185,433 432,677 539,889 1,298,031 2,905,117 8,715,351 20,335,819 61,007,457

Collatz Trajectory (401 steps to reach 1)

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

61,007,457 183,022,372 91,511,186 45,755,593 137,266,780 68,633,390 34,316,695 102,950,086 51,475,043 154,425,130 77,212,565 231,637,696 115,818,848 57,909,424 28,954,712 14,477,356 7,238,678 3,619,339 10,858,018 5,429,009 16,287,028 8,143,514 4,071,757 12,215,272 6,107,636 3,053,818 1,526,909 4,580,728 2,290,364 1,145,182 572,591 1,717,774 858,887 2,576,662 1,288,331 3,864,994 1,932,497 5,797,492 2,898,746 1,449,373 4,348,120 2,174,060 1,087,030 543,515 1,630,546 815,273 2,445,820 1,222,910 611,455 1,834,366 917,183 2,751,550 1,375,775 4,127,326 2,063,663 6,190,990 3,095,495 9,286,486 4,643,243 13,929,730

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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