8,291,121

3 × 17² × 73 × 131

8,291,121 factors as 3 × 17^2 × 73 × 131. Its 24 positive divisors give a proper-divisor sum of 3,703,983, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 3 × 17^2 × 73 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,995,104

Proper Divisor Sum 3,703,983

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8291117 ← → #8291159

Radix Representation

Decimal	8291121
Binary	11111101000001100110001 (23 bits)
Octal	0o37501461
Hexadecimal	0x7E8331

Divisor Catalog (24)

1 3 17 51 73 131 219 289 393 867 1,241 2,227 3,723 6,681 9,563 21,097 28,689 37,859 63,291 113,577 162,571 487,713 2,763,707 8,291,121

Collatz Trajectory (124 steps to reach 1)

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

8,291,121 24,873,364 12,436,682 6,218,341 18,655,024 9,327,512 4,663,756 2,331,878 1,165,939 3,497,818 1,748,909 5,246,728 2,623,364 1,311,682 655,841 1,967,524 983,762 491,881 1,475,644 737,822 368,911 1,106,734 553,367 1,660,102 830,051 2,490,154 1,245,077 3,735,232 1,867,616 933,808 466,904 233,452 116,726 58,363 175,090 87,545 262,636 131,318 65,659 196,978 98,489 295,468 147,734 73,867 221,602 110,801 332,404 166,202 83,101 249,304 124,652 62,326 31,163 93,490 46,745 140,236 70,118 35,059 105,178 52,589

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