797,745

3 × 5 × 13 × 4091

797,745 factors as 3 × 5 × 13 × 4091. Its 16 positive divisors give a proper-divisor sum of 577,167, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 4091

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,374,912

Proper Divisor Sum 577,167

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #797743 ← → #797747

Radix Representation

Decimal	797745
Binary	11000010110000110001 (20 bits)
Octal	0o3026061
Hexadecimal	0xC2C31

Divisor Catalog (16)

1 3 5 13 15 39 65 195 4,091 12,273 20,455 53,183 61,365 159,549 265,915 797,745

Collatz Trajectory (149 steps to reach 1)

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

797,745 2,393,236 1,196,618 598,309 1,794,928 897,464 448,732 224,366 112,183 336,550 168,275 504,826 252,413 757,240 378,620 189,310 94,655 283,966 141,983 425,950 212,975 638,926 319,463 958,390 479,195 1,437,586 718,793 2,156,380 1,078,190 539,095 1,617,286 808,643 2,425,930 1,212,965 3,638,896 1,819,448 909,724 454,862 227,431 682,294 341,147 1,023,442 511,721 1,535,164 767,582 383,791 1,151,374 575,687 1,727,062 863,531 2,590,594 1,295,297 3,885,892 1,942,946 971,473 2,914,420 1,457,210 728,605 2,185,816 1,092,908

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