λ
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Atlas › Integer Profiles › Node 17,036,635

17,036,635

5 × 7 × 11 × 17 × 19 × 137
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 17 × 19 × 137
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,615,680
Proper Divisor Sum 11,579,045
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #17036633 ← → #17036641

Radix Representation

Decimal 17036635
Binary 1000000111111010101011011 (25 bits)
Octal 0o100772533
Hexadecimal 0x103F55B

Divisor Catalog (60 of 64)

1 5 7 11 17 19 35 55 77 85 95 119 133 137 187 209 323 385 595 665 685 935 959 1,045 1,309 1,463 1,507 1,615 2,261 2,329 2,603 3,553 4,795 6,545 7,315 7,535 10,549 11,305 11,645 13,015 16,303 17,765 18,221 24,871 25,619 28,633 44,251 52,745 81,515 91,105 124,355 128,095 143,165 179,333 200,431 221,255 309,757 486,761 896,665 1,002,155

Collatz Trajectory (244 steps to reach 1)

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

17,036,635 51,109,906 25,554,953 76,664,860 38,332,430 19,166,215 57,498,646 28,749,323 86,247,970 43,123,985 129,371,956 64,685,978 32,342,989 97,028,968 48,514,484 24,257,242 12,128,621 36,385,864 18,192,932 9,096,466 4,548,233 13,644,700 6,822,350 3,411,175 10,233,526 5,116,763 15,350,290 7,675,145 23,025,436 11,512,718 5,756,359 17,269,078 8,634,539 25,903,618 12,951,809 38,855,428 19,427,714 9,713,857 29,141,572 14,570,786 7,285,393 21,856,180 10,928,090 5,464,045 16,392,136 8,196,068 4,098,034 2,049,017 6,147,052 3,073,526 1,536,763 4,610,290 2,305,145 6,915,436 3,457,718 1,728,859 5,186,578 2,593,289 7,779,868 3,889,934

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