776,607

3 × 13 × 19913

776,607 factors as 3 × 13 × 19913. Its 8 positive divisors give a proper-divisor sum of 338,577, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 13 × 19913

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,115,184

Proper Divisor Sum 338,577

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #776599 ← → #776627

Radix Representation

Decimal	776607
Binary	10111101100110011111 (20 bits)
Octal	0o2754637
Hexadecimal	0xBD99F

Divisor Catalog (8)

1 3 13 39 19,913 59,739 258,869 776,607

Collatz Trajectory (180 steps to reach 1)

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

776,607 2,329,822 1,164,911 3,494,734 1,747,367 5,242,102 2,621,051 7,863,154 3,931,577 11,794,732 5,897,366 2,948,683 8,846,050 4,423,025 13,269,076 6,634,538 3,317,269 9,951,808 4,975,904 2,487,952 1,243,976 621,988 310,994 155,497 466,492 233,246 116,623 349,870 174,935 524,806 262,403 787,210 393,605 1,180,816 590,408 295,204 147,602 73,801 221,404 110,702 55,351 166,054 83,027 249,082 124,541 373,624 186,812 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329

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