774,834

2 × 3 × 89 × 1451

774,834 factors as 2 × 3 × 89 × 1451. Its 16 positive divisors give a proper-divisor sum of 793,326, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2 × 3 × 89 × 1451

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,568,160

Proper Divisor Sum 793,326

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #774833 ← → #774853

Radix Representation

Decimal	774834
Binary	10111101001010110010 (20 bits)
Octal	0o2751262
Hexadecimal	0xBD2B2

Divisor Catalog (16)

1 2 3 6 89 178 267 534 1,451 2,902 4,353 8,706 129,139 258,278 387,417 774,834

Collatz Trajectory (162 steps to reach 1)

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

774,834 387,417 1,162,252 581,126 290,563 871,690 435,845 1,307,536 653,768 326,884 163,442 81,721 245,164 122,582 61,291 183,874 91,937 275,812 137,906 68,953 206,860 103,430 51,715 155,146 77,573 232,720 116,360 58,180 29,090 14,545 43,636 21,818 10,909 32,728 16,364 8,182 4,091 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918

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