λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,577,625
17,577,625
53 × 13 × 29 × 373
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^3 × 13 × 29 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,504,480
Proper Divisor Sum 6,926,855
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #17577619 ← → #17577629

Radix Representation

Decimal 17577625
Binary 1000011000011011010011001 (25 bits)
Octal 0o103033231
Hexadecimal 0x10C3699

Divisor Catalog (32)

1 5 13 25 29 65 125 145 325 373 377 725 1,625 1,865 1,885 3,625 4,849 9,325 9,425 10,817 24,245 46,625 47,125 54,085 121,225 140,621 270,425 606,125 703,105 1,352,125 3,515,525 17,577,625

Collatz Trajectory (200 steps to reach 1)

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

17,577,625 52,732,876 26,366,438 13,183,219 39,549,658 19,774,829 59,324,488 29,662,244 14,831,122 7,415,561 22,246,684 11,123,342 5,561,671 16,685,014 8,342,507 25,027,522 12,513,761 37,541,284 18,770,642 9,385,321 28,155,964 14,077,982 7,038,991 21,116,974 10,558,487 31,675,462 15,837,731 47,513,194 23,756,597 71,269,792 35,634,896 17,817,448 8,908,724 4,454,362 2,227,181 6,681,544 3,340,772 1,670,386 835,193 2,505,580 1,252,790 626,395 1,879,186 939,593 2,818,780 1,409,390 704,695 2,114,086 1,057,043 3,171,130 1,585,565 4,756,696 2,378,348 1,189,174 594,587 1,783,762 891,881 2,675,644 1,337,822 668,911

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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