76,116

2² × 3 × 6343

76,116 has the prime decomposition 2^2 × 3 × 6343. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 6343

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 177,632

Proper Divisor Sum 101,516

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #76103 ← → #76123

Radix Representation

Decimal	76116
Binary	10010100101010100 (17 bits)
Octal	0o224524
Hexadecimal	0x12954

Divisor Catalog (12)

1 2 3 4 6 12 6,343 12,686 19,029 25,372 38,058 76,116

Collatz Trajectory (81 steps to reach 1)

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

76,116 38,058 19,029 57,088 28,544 14,272 7,136 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488

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