776,582

2 × 97 × 4003

776,582 factors as 2 × 97 × 4003. Its 8 positive divisors give a proper-divisor sum of 400,594, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 97 × 4003

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,177,176

Proper Divisor Sum 400,594

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #776569 ← → #776599

Radix Representation

Decimal	776582
Binary	10111101100110000110 (20 bits)
Octal	0o2754606
Hexadecimal	0xBD986

Divisor Catalog (8)

1 2 97 194 4,003 8,006 388,291 776,582

Collatz Trajectory (131 steps to reach 1)

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

776,582 388,291 1,164,874 582,437 1,747,312 873,656 436,828 218,414 109,207 327,622 163,811 491,434 245,717 737,152 368,576 184,288 92,144 46,072 23,036 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388 210,194 105,097 315,292 157,646 78,823 236,470 118,235 354,706 177,353

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