5² × 7³ × 13

Prime Factor Structure

Factorization String 5^2 × 7^3 × 13

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 173,600

Proper Divisor Sum 62,125

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #111467 ← → #111487

1 5 7 13 25 35 49 65 91 175 245 325 343 455 637 1,225 1,715 2,275 3,185 4,459 8,575 15,925 22,295 111,475

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

111,475 334,426 167,213 501,640 250,820 125,410 62,705 188,116 94,058 47,029 141,088 70,544 35,272 17,636 8,818 4,409 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118

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