λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,980,955
36,980,955
35 × 5 × 11 × 2767
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 5 × 11 × 2767
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 72,543,744
Proper Divisor Sum 35,562,789
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36980929 ← → #36980969

Radix Representation

Decimal 36980955
Binary 10001101000100100011011011 (26 bits)
Octal 0o215044333
Hexadecimal 0x23448DB

Divisor Catalog (48)

1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 891 1,215 1,485 2,673 2,767 4,455 8,301 13,365 13,835 24,903 30,437 41,505 74,709 91,311 124,515 152,185 224,127 273,933 373,545 456,555 672,381 821,799 1,120,635 1,369,665 2,465,397 3,361,905 4,108,995 7,396,191 12,326,985 36,980,955

Collatz Trajectory (165 steps to reach 1)

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

36,980,955 110,942,866 55,471,433 166,414,300 83,207,150 41,603,575 124,810,726 62,405,363 187,216,090 93,608,045 280,824,136 140,412,068 70,206,034 35,103,017 105,309,052 52,654,526 26,327,263 78,981,790 39,490,895 118,472,686 59,236,343 177,709,030 88,854,515 266,563,546 133,281,773 399,845,320 199,922,660 99,961,330 49,980,665 149,941,996 74,970,998 37,485,499 112,456,498 56,228,249 168,684,748 84,342,374 42,171,187 126,513,562 63,256,781 189,770,344 94,885,172 47,442,586 23,721,293 71,163,880 35,581,940 17,790,970 8,895,485 26,686,456 13,343,228 6,671,614 3,335,807 10,007,422 5,003,711 15,011,134 7,505,567 22,516,702 11,258,351 33,775,054 16,887,527 50,662,582

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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