18,001,035

3⁴ × 5 × 13² × 263

18,001,035 factors as 3^4 × 5 × 13^2 × 263. Its 60 positive divisors give a proper-divisor sum of 17,073,477, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 13^2 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 35,074,512

Proper Divisor Sum 17,073,477

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #18001033 ← → #18001057

Radix Representation

Decimal	18001035
Binary	1000100101010110010001011 (25 bits)
Octal	0o104526213
Hexadecimal	0x112AC8B

Divisor Catalog (60)

1 3 5 9 13 15 27 39 45 65 81 117 135 169 195 263 351 405 507 585 789 845 1,053 1,315 1,521 1,755 2,367 2,535 3,419 3,945 4,563 5,265 7,101 7,605 10,257 11,835 13,689 17,095 21,303 22,815 30,771 35,505 44,447 51,285 68,445 92,313 106,515 133,341 153,855 222,235 276,939 400,023 461,565 666,705 1,200,069 1,384,695 2,000,115 3,600,207 6,000,345 18,001,035

Collatz Trajectory (112 steps to reach 1)

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

18,001,035 54,003,106 27,001,553 81,004,660 40,502,330 20,251,165 60,753,496 30,376,748 15,188,374 7,594,187 22,782,562 11,391,281 34,173,844 17,086,922 8,543,461 25,630,384 12,815,192 6,407,596 3,203,798 1,601,899 4,805,698 2,402,849 7,208,548 3,604,274 1,802,137 5,406,412 2,703,206 1,351,603 4,054,810 2,027,405 6,082,216 3,041,108 1,520,554 760,277 2,280,832 1,140,416 570,208 285,104 142,552 71,276 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030

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