1,617,930

2 × 3² × 5 × 17977

1,617,930 factors as 2 × 3^2 × 5 × 17977. Its 24 positive divisors give a proper-divisor sum of 2,588,922, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 17977

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,206,852

Proper Divisor Sum 2,588,922

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1617929 ← → #1617943

Radix Representation

Decimal	1617930
Binary	110001011000000001010 (21 bits)
Octal	0o6130012
Hexadecimal	0x18B00A

Divisor Catalog (24)

Collatz Trajectory (114 steps to reach 1)

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

1,617,930 808,965 2,426,896 1,213,448 606,724 303,362 151,681 455,044 227,522 113,761 341,284 170,642 85,321 255,964 127,982 63,991 191,974 95,987 287,962 143,981 431,944 215,972 107,986 53,993 161,980 80,990 40,495 121,486 60,743 182,230 91,115 273,346 136,673 410,020 205,010 102,505 307,516 153,758 76,879 230,638 115,319 345,958 172,979 518,938 259,469 778,408 389,204 194,602 97,301 291,904 145,952 72,976 36,488 18,244 9,122 4,561 13,684 6,842 3,421 10,264

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