760,046

2 × 7 × 233²

760,046 factors as 2 × 7 × 233^2. Its 12 positive divisors give a proper-divisor sum of 548,506, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 7 × 233^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,308,552

Proper Divisor Sum 548,506

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #760043 ← → #760063

Radix Representation

Decimal	760046
Binary	10111001100011101110 (20 bits)
Octal	0o2714356
Hexadecimal	0xB98EE

Divisor Catalog (12)

1 2 7 14 233 466 1,631 3,262 54,289 108,578 380,023 760,046

Collatz Trajectory (105 steps to reach 1)

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

760,046 380,023 1,140,070 570,035 1,710,106 855,053 2,565,160 1,282,580 641,290 320,645 961,936 480,968 240,484 120,242 60,121 180,364 90,182 45,091 135,274 67,637 202,912 101,456 50,728 25,364 12,682 6,341 19,024 9,512 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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