776,504

2³ × 29 × 3347

For 776,504, the 16 positive divisors have a total of 1,506,600. Removing 776,504 leaves 730,096, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 29 × 3347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,506,600

Proper Divisor Sum 730,096

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #776497 ← → #776507

Radix Representation

Decimal	776504
Binary	10111101100100111000 (20 bits)
Octal	0o2754470
Hexadecimal	0xBD938

Divisor Catalog (16)

1 2 4 8 29 58 116 232 3,347 6,694 13,388 26,776 97,063 194,126 388,252 776,504

Collatz Trajectory (131 steps to reach 1)

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

776,504 388,252 194,126 97,063 291,190 145,595 436,786 218,393 655,180 327,590 163,795 491,386 245,693 737,080 368,540 184,270 92,135 276,406 138,203 414,610 207,305 621,916 310,958 155,479 466,438 233,219 699,658 349,829 1,049,488 524,744 262,372 131,186 65,593 196,780 98,390 49,195 147,586 73,793 221,380 110,690 55,345 166,036 83,018 41,509 124,528 62,264 31,132 15,566 7,783 23,350 11,675 35,026 17,513 52,540 26,270 13,135 39,406 19,703 59,110 29,555

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