77,846

2 × 38923

77,846 factors as 2 × 38923. Its 4 positive divisors give a proper-divisor sum of 38,926, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 38923

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 116,772

Proper Divisor Sum 38,926

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #77839 ← → #77849

Radix Representation

Decimal	77846
Binary	10011000000010110 (17 bits)
Octal	0o230026
Hexadecimal	0x13016

Divisor Catalog (4)

1 2 38,923 77,846

Collatz Trajectory (169 steps to reach 1)

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

77,846 38,923 116,770 58,385 175,156 87,578 43,789 131,368 65,684 32,842 16,421 49,264 24,632 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496

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