λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,564,001
17,564,001
3 × 73 × 132 × 101
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^3 × 13^2 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 29,865,600
Proper Divisor Sum 12,301,599
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #17563993 ← → #17564021

Radix Representation

Decimal 17564001
Binary 1000011000000000101100001 (25 bits)
Octal 0o103000541
Hexadecimal 0x10C0161

Divisor Catalog (48)

1 3 7 13 21 39 49 91 101 147 169 273 303 343 507 637 707 1,029 1,183 1,313 1,911 2,121 3,549 3,939 4,459 4,949 8,281 9,191 13,377 14,847 17,069 24,843 27,573 34,643 51,207 57,967 64,337 103,929 119,483 173,901 193,011 358,449 450,359 836,381 1,351,077 2,509,143 5,854,667 17,564,001

Collatz Trajectory (244 steps to reach 1)

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

17,564,001 52,692,004 26,346,002 13,173,001 39,519,004 19,759,502 9,879,751 29,639,254 14,819,627 44,458,882 22,229,441 66,688,324 33,344,162 16,672,081 50,016,244 25,008,122 12,504,061 37,512,184 18,756,092 9,378,046 4,689,023 14,067,070 7,033,535 21,100,606 10,550,303 31,650,910 15,825,455 47,476,366 23,738,183 71,214,550 35,607,275 106,821,826 53,410,913 160,232,740 80,116,370 40,058,185 120,174,556 60,087,278 30,043,639 90,130,918 45,065,459 135,196,378 67,598,189 202,794,568 101,397,284 50,698,642 25,349,321 76,047,964 38,023,982 19,011,991 57,035,974 28,517,987 85,553,962 42,776,981 128,330,944 64,165,472 32,082,736 16,041,368 8,020,684 4,010,342

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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