116,980

2² × 5 × 5849

116,980 has digital root 7. The neighboring primes are 116969 and 116981; its proper-divisor sum differs from the starting integer by 11,740.

Prime Factor Structure

Factorization String 2^2 × 5 × 5849

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 245,700

Proper Divisor Sum 128,720

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #116969 ← → #116981

Radix Representation

Decimal	116980
Binary	11100100011110100 (17 bits)
Octal	0o344364
Hexadecimal	0x1C8F4

Divisor Catalog (12)

1 2 4 5 10 20 5,849 11,698 23,396 29,245 58,490 116,980

Collatz Trajectory (123 steps to reach 1)

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

116,980 58,490 29,245 87,736 43,868 21,934 10,967 32,902 16,451 49,354 24,677 74,032 37,016 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

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