λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,520,975
17,520,975
33 × 52 × 101 × 257
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5^2 × 101 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,631,840
Proper Divisor Sum 15,110,865
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17520973 ← → #17520991

Radix Representation

Decimal 17520975
Binary 1000010110101100101001111 (25 bits)
Octal 0o102654517
Hexadecimal 0x10B594F

Divisor Catalog (48)

1 3 5 9 15 25 27 45 75 101 135 225 257 303 505 675 771 909 1,285 1,515 2,313 2,525 2,727 3,855 4,545 6,425 6,939 7,575 11,565 13,635 19,275 22,725 25,957 34,695 57,825 68,175 77,871 129,785 173,475 233,613 389,355 648,925 700,839 1,168,065 1,946,775 3,504,195 5,840,325 17,520,975

Collatz Trajectory (337 steps to reach 1)

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

17,520,975 52,562,926 26,281,463 78,844,390 39,422,195 118,266,586 59,133,293 177,399,880 88,699,940 44,349,970 22,174,985 66,524,956 33,262,478 16,631,239 49,893,718 24,946,859 74,840,578 37,420,289 112,260,868 56,130,434 28,065,217 84,195,652 42,097,826 21,048,913 63,146,740 31,573,370 15,786,685 47,360,056 23,680,028 11,840,014 5,920,007 17,760,022 8,880,011 26,640,034 13,320,017 39,960,052 19,980,026 9,990,013 29,970,040 14,985,020 7,492,510 3,746,255 11,238,766 5,619,383 16,858,150 8,429,075 25,287,226 12,643,613 37,930,840 18,965,420 9,482,710 4,741,355 14,224,066 7,112,033 21,336,100 10,668,050 5,334,025 16,002,076 8,001,038 4,000,519

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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