746,916

2² × 3 × 67 × 929

746,916 has digital root 6. The neighboring primes are 746903 and 746939; its proper-divisor sum differs from the starting integer by 276,888.

Prime Factor Structure

Factorization String 2^2 × 3 × 67 × 929

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,770,720

Proper Divisor Sum 1,023,804

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #746903 ← → #746939

Radix Representation

Decimal	746916
Binary	10110110010110100100 (20 bits)
Octal	0o2662644
Hexadecimal	0xB65A4

Divisor Catalog (24)

1 2 3 4 6 12 67 134 201 268 402 804 929 1,858 2,787 3,716 5,574 11,148 62,243 124,486 186,729 248,972 373,458 746,916

Collatz Trajectory (87 steps to reach 1)

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

746,916 373,458 186,729 560,188 280,094 140,047 420,142 210,071 630,214 315,107 945,322 472,661 1,417,984 708,992 354,496 177,248 88,624 44,312 22,156 11,078 5,539 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134

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