λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,323,798
45,323,798
2 × 13 × 31 × 53 × 1061
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 31 × 53 × 1061
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 77,075,712
Proper Divisor Sum 31,751,914
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #45323783 ← → #45323807

Radix Representation

Decimal 45323798
Binary 10101100111001011000010110 (26 bits)
Octal 0o254713026
Hexadecimal 0x2B39616

Divisor Catalog (32)

1 2 13 26 31 53 62 106 403 689 806 1,061 1,378 1,643 2,122 3,286 13,793 21,359 27,586 32,891 42,718 56,233 65,782 112,466 427,583 731,029 855,166 1,462,058 1,743,223 3,486,446 22,661,899 45,323,798

Collatz Trajectory (279 steps to reach 1)

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

45,323,798 22,661,899 67,985,698 33,992,849 101,978,548 50,989,274 25,494,637 76,483,912 38,241,956 19,120,978 9,560,489 28,681,468 14,340,734 7,170,367 21,511,102 10,755,551 32,266,654 16,133,327 48,399,982 24,199,991 72,599,974 36,299,987 108,899,962 54,449,981 163,349,944 81,674,972 40,837,486 20,418,743 61,256,230 30,628,115 91,884,346 45,942,173 137,826,520 68,913,260 34,456,630 17,228,315 51,684,946 25,842,473 77,527,420 38,763,710 19,381,855 58,145,566 29,072,783 87,218,350 43,609,175 130,827,526 65,413,763 196,241,290 98,120,645 294,361,936 147,180,968 73,590,484 36,795,242 18,397,621 55,192,864 27,596,432 13,798,216 6,899,108 3,449,554 1,724,777

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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