7,721,813

11 × 23² × 1327

7,721,813 factors as 11 × 23^2 × 1327. Its 12 positive divisors give a proper-divisor sum of 1,090,795, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 11 × 23^2 × 1327

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,812,608

Proper Divisor Sum 1,090,795

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7721761 ← → #7721827

Radix Representation

Decimal	7721813
Binary	11101011101001101010101 (23 bits)
Octal	0o35351525
Hexadecimal	0x75D355

Divisor Catalog (12)

1 11 23 253 529 1,327 5,819 14,597 30,521 335,731 701,983 7,721,813

Collatz Trajectory (98 steps to reach 1)

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

7,721,813 23,165,440 11,582,720 5,791,360 2,895,680 1,447,840 723,920 361,960 180,980 90,490 45,245 135,736 67,868 33,934 16,967 50,902 25,451 76,354 38,177 114,532 57,266 28,633 85,900 42,950 21,475 64,426 32,213 96,640 48,320 24,160 12,080 6,040 3,020 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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