7,721,792

2⁶ × 13 × 9281

7,721,792 factors as 2^6 × 13 × 9281. Its 28 positive divisors give a proper-divisor sum of 8,781,604, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 9281

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 16,503,396

Proper Divisor Sum 8,781,604

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7721761 ← → #7721827

Radix Representation

Decimal	7721792
Binary	11101011101001101000000 (23 bits)
Octal	0o35351500
Hexadecimal	0x75D340

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 9,281 18,562 37,124 74,248 120,653 148,496 241,306 296,992 482,612 593,984 965,224 1,930,448 3,860,896 7,721,792

Collatz Trajectory (98 steps to reach 1)

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

7,721,792 3,860,896 1,930,448 965,224 482,612 241,306 120,653 361,960 180,980 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

← Previous Integer #7,721,791 Browse Full Index Next Integer #7,721,793 →