18,045,875

5³ × 31 × 4657

18,045,875 factors as 5^3 × 31 × 4657. Its 16 positive divisors give a proper-divisor sum of 5,206,861, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 5^3 × 31 × 4657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 23,252,736

Proper Divisor Sum 5,206,861

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #18045851 ← → #18045889

Radix Representation

Decimal	18045875
Binary	1000100110101101110110011 (25 bits)
Octal	0o104655663
Hexadecimal	0x1135BB3

Divisor Catalog (16)

1 5 25 31 125 155 775 3,875 4,657 23,285 116,425 144,367 582,125 721,835 3,609,175 18,045,875

Collatz Trajectory (112 steps to reach 1)

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

18,045,875 54,137,626 27,068,813 81,206,440 40,603,220 20,301,610 10,150,805 30,452,416 15,226,208 7,613,104 3,806,552 1,903,276 951,638 475,819 1,427,458 713,729 2,141,188 1,070,594 535,297 1,605,892 802,946 401,473 1,204,420 602,210 301,105 903,316 451,658 225,829 677,488 338,744 169,372 84,686 42,343 127,030 63,515 190,546 95,273 285,820 142,910 71,455 214,366 107,183 321,550 160,775 482,326 241,163 723,490 361,745 1,085,236 542,618 271,309 813,928 406,964 203,482 101,741 305,224 152,612 76,306 38,153 114,460

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