3² × 5 × 13 × 17 × 41

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 17 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 825,552

Proper Divisor Sum 417,807

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #407741 ← → #407747

1 3 5 9 13 15 17 39 41 45 51 65 85 117 123 153 195 205 221 255 369 533 585 615 663 697 765 1,105 1,599 1,845 1,989 2,091 2,665 3,315 3,485 4,797 6,273 7,995 9,061 9,945 10,455 23,985 27,183 31,365 45,305 81,549 135,915 407,745

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

407,745 1,223,236 611,618 305,809 917,428 458,714 229,357 688,072 344,036 172,018 86,009 258,028 129,014 64,507 193,522 96,761 290,284 145,142 72,571 217,714 108,857 326,572 163,286 81,643 244,930 122,465 367,396 183,698 91,849 275,548 137,774 68,887 206,662 103,331 309,994 154,997 464,992 232,496 116,248 58,124 29,062 14,531 43,594 21,797 65,392 32,696 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587

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