λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,645,342
61,645,342
2 × 11 × 113 × 137 × 181
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 113 × 137 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 103,076,064
Proper Divisor Sum 41,430,722
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #61645333 ← → #61645351

Radix Representation

Decimal 61645342
Binary 11101011001010001000011110 (26 bits)
Octal 0o353121036
Hexadecimal 0x3ACA21E

Divisor Catalog (32)

1 2 11 22 113 137 181 226 274 362 1,243 1,507 1,991 2,486 3,014 3,982 15,481 20,453 24,797 30,962 40,906 49,594 170,291 224,983 272,767 340,582 449,966 545,534 2,802,061 5,604,122 30,822,671 61,645,342

Collatz Trajectory (101 steps to reach 1)

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

61,645,342 30,822,671 92,468,014 46,234,007 138,702,022 69,351,011 208,053,034 104,026,517 312,079,552 156,039,776 78,019,888 39,009,944 19,504,972 9,752,486 4,876,243 14,628,730 7,314,365 21,943,096 10,971,548 5,485,774 2,742,887 8,228,662 4,114,331 12,342,994 6,171,497 18,514,492 9,257,246 4,628,623 13,885,870 6,942,935 20,828,806 10,414,403 31,243,210 15,621,605 46,864,816 23,432,408 11,716,204 5,858,102 2,929,051 8,787,154 4,393,577 13,180,732 6,590,366 3,295,183 9,885,550 4,942,775 14,828,326 7,414,163 22,242,490 11,121,245 33,363,736 16,681,868 8,340,934 4,170,467 12,511,402 6,255,701 18,767,104 9,383,552 4,691,776 2,345,888

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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