λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,237,374
45,237,374
2 × 7 × 13 × 17 × 14621
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 17 × 14621
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 88,433,856
Proper Divisor Sum 43,196,482
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #45237373 ← → #45237431

Radix Representation

Decimal 45237374
Binary 10101100100100010001111110 (26 bits)
Octal 0o254442176
Hexadecimal 0x2B2447E

Divisor Catalog (32)

1 2 7 13 14 17 26 34 91 119 182 221 238 442 1,547 3,094 14,621 29,242 102,347 190,073 204,694 248,557 380,146 497,114 1,330,511 1,739,899 2,661,022 3,231,241 3,479,798 6,462,482 22,618,687 45,237,374

Collatz Trajectory (155 steps to reach 1)

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

45,237,374 22,618,687 67,856,062 33,928,031 101,784,094 50,892,047 152,676,142 76,338,071 229,014,214 114,507,107 343,521,322 171,760,661 515,281,984 257,640,992 128,820,496 64,410,248 32,205,124 16,102,562 8,051,281 24,153,844 12,076,922 6,038,461 18,115,384 9,057,692 4,528,846 2,264,423 6,793,270 3,396,635 10,189,906 5,094,953 15,284,860 7,642,430 3,821,215 11,463,646 5,731,823 17,195,470 8,597,735 25,793,206 12,896,603 38,689,810 19,344,905 58,034,716 29,017,358 14,508,679 43,526,038 21,763,019 65,289,058 32,644,529 97,933,588 48,966,794 24,483,397 73,450,192 36,725,096 18,362,548 9,181,274 4,590,637 13,771,912 6,885,956 3,442,978 1,721,489

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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