776,165

5 × 13 × 11941

776,165 factors as 5 × 13 × 11941. Its 8 positive divisors give a proper-divisor sum of 226,963, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 5 × 13 × 11941

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,003,128

Proper Divisor Sum 226,963

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #776159 ← → #776173

Radix Representation

Decimal	776165
Binary	10111101011111100101 (20 bits)
Octal	0o2753745
Hexadecimal	0xBD7E5

Divisor Catalog (8)

1 5 13 65 11,941 59,705 155,233 776,165

Collatz Trajectory (131 steps to reach 1)

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

776,165 2,328,496 1,164,248 582,124 291,062 145,531 436,594 218,297 654,892 327,446 163,723 491,170 245,585 736,756 368,378 184,189 552,568 276,284 138,142 69,071 207,214 103,607 310,822 155,411 466,234 233,117 699,352 349,676 174,838 87,419 262,258 131,129 393,388 196,694 98,347 295,042 147,521 442,564 221,282 110,641 331,924 165,962 82,981 248,944 124,472 62,236 31,118 15,559 46,678 23,339 70,018 35,009 105,028 52,514 26,257 78,772 39,386 19,693 59,080 29,540

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