776,368

2⁴ × 48523

776,368 factors as 2^4 × 48523. Its 10 positive divisors give a proper-divisor sum of 727,876, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^4 × 48523

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,504,244

Proper Divisor Sum 727,876

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #776357 ← → #776389

Radix Representation

Decimal	776368
Binary	10111101100010110000 (20 bits)
Octal	0o2754260
Hexadecimal	0xBD8B0

Divisor Catalog (10)

1 2 4 8 16 48,523 97,046 194,092 388,184 776,368

Collatz Trajectory (131 steps to reach 1)

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

776,368 388,184 194,092 97,046 48,523 145,570 72,785 218,356 109,178 54,589 163,768 81,884 40,942 20,471 61,414 30,707 92,122 46,061 138,184 69,092 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590 32,795 98,386 49,193 147,580 73,790 36,895 110,686 55,343 166,030 83,015 249,046 124,523 373,570 186,785 560,356 280,178 140,089 420,268 210,134 105,067 315,202 157,601 472,804 236,402 118,201 354,604 177,302

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