6,816,624

2⁴ × 3 × 29 × 59 × 83

6,816,624 factors as 2^4 × 3 × 29 × 59 × 83. Its 80 positive divisors give a proper-divisor sum of 11,932,176, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 29 × 59 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 18,748,800

Proper Divisor Sum 11,932,176

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6816617 ← → #6816629

Radix Representation

Decimal	6816624
Binary	11010000000001101110000 (23 bits)
Octal	0o32001560
Hexadecimal	0x680370

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 24 29 48 58 59 83 87 116 118 166 174 177 232 236 249 332 348 354 464 472 498 664 696 708 944 996 1,328 1,392 1,416 1,711 1,992 2,407 2,832 3,422 3,984 4,814 4,897 5,133 6,844 7,221 9,628 9,794 10,266 13,688 14,442 14,691 19,256 19,588 20,532 27,376 28,884 29,382

Collatz Trajectory (253 steps to reach 1)

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

6,816,624 3,408,312 1,704,156 852,078 426,039 1,278,118 639,059 1,917,178 958,589 2,875,768 1,437,884 718,942 359,471 1,078,414 539,207 1,617,622 808,811 2,426,434 1,213,217 3,639,652 1,819,826 909,913 2,729,740 1,364,870 682,435 2,047,306 1,023,653 3,070,960 1,535,480 767,740 383,870 191,935 575,806 287,903 863,710 431,855 1,295,566 647,783 1,943,350 971,675 2,915,026 1,457,513 4,372,540 2,186,270 1,093,135 3,279,406 1,639,703 4,919,110 2,459,555 7,378,666 3,689,333 11,068,000 5,534,000 2,767,000 1,383,500 691,750 345,875 1,037,626 518,813 1,556,440

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,816,623 Browse Full Index Next Integer #6,816,625 →