746,461

823 × 907

746,461 factors as 823 × 907. Its 4 positive divisors give a proper-divisor sum of 1,731, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 823 × 907

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 748,192

Proper Divisor Sum 1,731

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #746429 ← → #746477

Radix Representation

Decimal	746461
Binary	10110110001111011101 (20 bits)
Octal	0o2661735
Hexadecimal	0xB63DD

Divisor Catalog (4)

1 823 907 746,461

Collatz Trajectory (149 steps to reach 1)

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

746,461 2,239,384 1,119,692 559,846 279,923 839,770 419,885 1,259,656 629,828 314,914 157,457 472,372 236,186 118,093 354,280 177,140 88,570 44,285 132,856 66,428 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051 168,154 84,077 252,232 126,116 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894 22,447 67,342 33,671 101,014 50,507 151,522 75,761 227,284 113,642 56,821 170,464

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