17,524,008

2³ × 3² × 17 × 103 × 139

17,524,008 factors as 2^3 × 3^2 × 17 × 103 × 139. Its 96 positive divisors give a proper-divisor sum of 33,581,592, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 103 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 51,105,600

Proper Divisor Sum 33,581,592

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #17523983 ← → #17524027

Radix Representation

Decimal	17524008
Binary	1000010110110010100101000 (25 bits)
Octal	0o102662450
Hexadecimal	0x10B6528

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 103 136 139 153 204 206 278 306 309 408 412 417 556 612 618 824 834 927 1,112 1,224 1,236 1,251 1,668 1,751 1,854 2,363 2,472 2,502 3,336 3,502 3,708 4,726 5,004 5,253 7,004 7,089 7,416 9,452 10,008 10,506 14,008 14,178 14,317

Collatz Trajectory (200 steps to reach 1)

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

17,524,008 8,762,004 4,381,002 2,190,501 6,571,504 3,285,752 1,642,876 821,438 410,719 1,232,158 616,079 1,848,238 924,119 2,772,358 1,386,179 4,158,538 2,079,269 6,237,808 3,118,904 1,559,452 779,726 389,863 1,169,590 584,795 1,754,386 877,193 2,631,580 1,315,790 657,895 1,973,686 986,843 2,960,530 1,480,265 4,440,796 2,220,398 1,110,199 3,330,598 1,665,299 4,995,898 2,497,949 7,493,848 3,746,924 1,873,462 936,731 2,810,194 1,405,097 4,215,292 2,107,646 1,053,823 3,161,470 1,580,735 4,742,206 2,371,103 7,113,310 3,556,655 10,669,966 5,334,983 16,004,950 8,002,475 24,007,426

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