λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,346,335
45,346,335
3 × 5 × 31 × 113 × 863
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 31 × 113 × 863
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 75,644,928
Proper Divisor Sum 30,298,593
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #45346321 ← → #45346339

Radix Representation

Decimal 45346335
Binary 10101100111110111000011111 (26 bits)
Octal 0o254767037
Hexadecimal 0x2B3EE1F

Divisor Catalog (32)

1 3 5 15 31 93 113 155 339 465 565 863 1,695 2,589 3,503 4,315 10,509 12,945 17,515 26,753 52,545 80,259 97,519 133,765 292,557 401,295 487,595 1,462,785 3,023,089 9,069,267 15,115,445 45,346,335

Collatz Trajectory (160 steps to reach 1)

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

45,346,335 136,039,006 68,019,503 204,058,510 102,029,255 306,087,766 153,043,883 459,131,650 229,565,825 688,697,476 344,348,738 172,174,369 516,523,108 258,261,554 129,130,777 387,392,332 193,696,166 96,848,083 290,544,250 145,272,125 435,816,376 217,908,188 108,954,094 54,477,047 163,431,142 81,715,571 245,146,714 122,573,357 367,720,072 183,860,036 91,930,018 45,965,009 137,895,028 68,947,514 34,473,757 103,421,272 51,710,636 25,855,318 12,927,659 38,782,978 19,391,489 58,174,468 29,087,234 14,543,617 43,630,852 21,815,426 10,907,713 32,723,140 16,361,570 8,180,785 24,542,356 12,271,178 6,135,589 18,406,768 9,203,384 4,601,692 2,300,846 1,150,423 3,451,270 1,725,635

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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