797,680

2⁴ × 5 × 13² × 59

797,680 factors as 2^4 × 5 × 13^2 × 59. Its 60 positive divisors give a proper-divisor sum of 1,244,600, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13^2 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 2,042,280

Proper Divisor Sum 1,244,600

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #797647 ← → #797681

Radix Representation

Decimal	797680
Binary	11000010101111110000 (20 bits)
Octal	0o3025760
Hexadecimal	0xC2BF0

Divisor Catalog (60)

1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 169 208 236 260 295 338 472 520 590 676 767 845 944 1,040 1,180 1,352 1,534 1,690 2,360 2,704 3,068 3,380 3,835 4,720 6,136 6,760 7,670 9,971 12,272 13,520 15,340 19,942 30,680 39,884 49,855 61,360 79,768 99,710 159,536 199,420 398,840 797,680

Collatz Trajectory (100 steps to reach 1)

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

797,680 398,840 199,420 99,710 49,855 149,566 74,783 224,350 112,175 336,526 168,263 504,790 252,395 757,186 378,593 1,135,780 567,890 283,945 851,836 425,918 212,959 638,878 319,439 958,318 479,159 1,437,478 718,739 2,156,218 1,078,109 3,234,328 1,617,164 808,582 404,291 1,212,874 606,437 1,819,312 909,656 454,828 227,414 113,707 341,122 170,561 511,684 255,842 127,921 383,764 191,882 95,941 287,824 143,912 71,956 35,978 17,989 53,968 26,984 13,492 6,746 3,373 10,120 5,060

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