109,779

3 × 23 × 37 × 43

109,779 factors as 3 × 23 × 37 × 43. Its 16 positive divisors give a proper-divisor sum of 50,733, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3 × 23 × 37 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 160,512

Proper Divisor Sum 50,733

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #109751 ← → #109789

Radix Representation

Decimal	109779
Binary	11010110011010011 (17 bits)
Octal	0o326323
Hexadecimal	0x1ACD3

Divisor Catalog (16)

1 3 23 37 43 69 111 129 851 989 1,591 2,553 2,967 4,773 36,593 109,779

Collatz Trajectory (92 steps to reach 1)

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

109,779 329,338 164,669 494,008 247,004 123,502 61,751 185,254 92,627 277,882 138,941 416,824 208,412 104,206 52,103 156,310 78,155 234,466 117,233 351,700 175,850 87,925 263,776 131,888 65,944 32,972 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192

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