λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,697,371
18,697,371
3 × 72 × 11 × 31 × 373
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 31 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,744,448
Proper Divisor Sum 14,047,077
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #18697363 ← → #18697379

Radix Representation

Decimal 18697371
Binary 1000111010100110010011011 (25 bits)
Octal 0o107246233
Hexadecimal 0x11D4C9B

Divisor Catalog (48)

1 3 7 11 21 31 33 49 77 93 147 217 231 341 373 539 651 1,023 1,119 1,519 1,617 2,387 2,611 4,103 4,557 7,161 7,833 11,563 12,309 16,709 18,277 28,721 34,689 50,127 54,831 80,941 86,163 127,193 201,047 242,823 381,579 566,587 603,141 890,351 1,699,761 2,671,053 6,232,457 18,697,371

Collatz Trajectory (301 steps to reach 1)

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

18,697,371 56,092,114 28,046,057 84,138,172 42,069,086 21,034,543 63,103,630 31,551,815 94,655,446 47,327,723 141,983,170 70,991,585 212,974,756 106,487,378 53,243,689 159,731,068 79,865,534 39,932,767 119,798,302 59,899,151 179,697,454 89,848,727 269,546,182 134,773,091 404,319,274 202,159,637 606,478,912 303,239,456 151,619,728 75,809,864 37,904,932 18,952,466 9,476,233 28,428,700 14,214,350 7,107,175 21,321,526 10,660,763 31,982,290 15,991,145 47,973,436 23,986,718 11,993,359 35,980,078 17,990,039 53,970,118 26,985,059 80,955,178 40,477,589 121,432,768 60,716,384 30,358,192 15,179,096 7,589,548 3,794,774 1,897,387 5,692,162 2,846,081 8,538,244 4,269,122

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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