1,451,817

3³ × 17 × 3163

1,451,817 factors as 3^3 × 17 × 3163. Its 16 positive divisors give a proper-divisor sum of 826,263, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 3^3 × 17 × 3163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,278,080

Proper Divisor Sum 826,263

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1451797 ← → #1451831

Radix Representation

Decimal	1451817
Binary	101100010011100101001 (21 bits)
Octal	0o5423451
Hexadecimal	0x162729

Divisor Catalog (16)

1 3 9 17 27 51 153 459 3,163 9,489 28,467 53,771 85,401 161,313 483,939 1,451,817

Collatz Trajectory (212 steps to reach 1)

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

1,451,817 4,355,452 2,177,726 1,088,863 3,266,590 1,633,295 4,899,886 2,449,943 7,349,830 3,674,915 11,024,746 5,512,373 16,537,120 8,268,560 4,134,280 2,067,140 1,033,570 516,785 1,550,356 775,178 387,589 1,162,768 581,384 290,692 145,346 72,673 218,020 109,010 54,505 163,516 81,758 40,879 122,638 61,319 183,958 91,979 275,938 137,969 413,908 206,954 103,477 310,432 155,216 77,608 38,804 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214

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