7,983,432

2³ × 3² × 110881

7,983,432 factors as 2^3 × 3^2 × 110881. Its 24 positive divisors give a proper-divisor sum of 13,638,558, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 110881

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,621,990

Proper Divisor Sum 13,638,558

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7983419 ← → #7983433

Radix Representation

Decimal	7983432
Binary	11110011101000101001000 (23 bits)
Octal	0o36350510
Hexadecimal	0x79D148

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 110,881 221,762 332,643 443,524 665,286 887,048 997,929 1,330,572 1,995,858 2,661,144 3,991,716 7,983,432

Collatz Trajectory (116 steps to reach 1)

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

7,983,432 3,991,716 1,995,858 997,929 2,993,788 1,496,894 748,447 2,245,342 1,122,671 3,368,014 1,684,007 5,052,022 2,526,011 7,578,034 3,789,017 11,367,052 5,683,526 2,841,763 8,525,290 4,262,645 12,787,936 6,393,968 3,196,984 1,598,492 799,246 399,623 1,198,870 599,435 1,798,306 899,153 2,697,460 1,348,730 674,365 2,023,096 1,011,548 505,774 252,887 758,662 379,331 1,137,994 568,997 1,706,992 853,496 426,748 213,374 106,687 320,062 160,031 480,094 240,047 720,142 360,071 1,080,214 540,107 1,620,322 810,161 2,430,484 1,215,242 607,621 1,822,864

← Previous Integer #7,983,431 Browse Full Index Next Integer #7,983,433 →