776,365

5 × 23 × 43 × 157

For 776,365, the 16 positive divisors have a total of 1,001,088. Removing 776,365 leaves 224,723, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 23 × 43 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,001,088

Proper Divisor Sum 224,723

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #776357 ← → #776389

Radix Representation

Decimal	776365
Binary	10111101100010101101 (20 bits)
Octal	0o2754255
Hexadecimal	0xBD8AD

Divisor Catalog (16)

1 5 23 43 115 157 215 785 989 3,611 4,945 6,751 18,055 33,755 155,273 776,365

Collatz Trajectory (131 steps to reach 1)

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

776,365 2,329,096 1,164,548 582,274 291,137 873,412 436,706 218,353 655,060 327,530 163,765 491,296 245,648 122,824 61,412 30,706 15,353 46,060 23,030 11,515 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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