794,376

2³ × 3² × 11 × 17 × 59

794,376 factors as 2^3 × 3^2 × 11 × 17 × 59. Its 96 positive divisors give a proper-divisor sum of 1,732,824, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 17 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,527,200

Proper Divisor Sum 1,732,824

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #794363 ← → #794383

Radix Representation

Decimal	794376
Binary	11000001111100001000 (20 bits)
Octal	0o3017410
Hexadecimal	0xC1F08

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 59 66 68 72 88 99 102 118 132 136 153 177 187 198 204 236 264 306 354 374 396 408 472 531 561 612 649 708 748 792 1,003 1,062 1,122 1,224 1,298 1,416 1,496 1,683 1,947 2,006 2,124 2,244

Collatz Trajectory (193 steps to reach 1)

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

794,376 397,188 198,594 99,297 297,892 148,946 74,473 223,420 111,710 55,855 167,566 83,783 251,350 125,675 377,026 188,513 565,540 282,770 141,385 424,156 212,078 106,039 318,118 159,059 477,178 238,589 715,768 357,884 178,942 89,471 268,414 134,207 402,622 201,311 603,934 301,967 905,902 452,951 1,358,854 679,427 2,038,282 1,019,141 3,057,424 1,528,712 764,356 382,178 191,089 573,268 286,634 143,317 429,952 214,976 107,488 53,744 26,872 13,436 6,718 3,359 10,078 5,039

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