776,727

3² × 7 × 12329

776,727 has digital root 9. The neighboring primes are 776719 and 776729; its proper-divisor sum differs from the starting integer by -271,134.

Prime Factor Structure

Factorization String 3^2 × 7 × 12329

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,282,320

Proper Divisor Sum 505,593

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #776719 ← → #776729

Radix Representation

Decimal	776727
Binary	10111101101000010111 (20 bits)
Octal	0o2755027
Hexadecimal	0xBDA17

Divisor Catalog (12)

1 3 7 9 21 63 12,329 36,987 86,303 110,961 258,909 776,727

Collatz Trajectory (268 steps to reach 1)

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

776,727 2,330,182 1,165,091 3,495,274 1,747,637 5,242,912 2,621,456 1,310,728 655,364 327,682 163,841 491,524 245,762 122,881 368,644 184,322 92,161 276,484 138,242 69,121 207,364 103,682 51,841 155,524 77,762 38,881 116,644 58,322 29,161 87,484 43,742 21,871 65,614 32,807 98,422 49,211 147,634 73,817 221,452 110,726 55,363 166,090 83,045 249,136 124,568 62,284 31,142 15,571 46,714 23,357 70,072 35,036 17,518 8,759 26,278 13,139 39,418 19,709 59,128 29,564

← Previous Integer #776,726 Browse Full Index Next Integer #776,728 →