7,616,772

2² × 3² × 23 × 9199

7,616,772 factors as 2^2 × 3^2 × 23 × 9199. Its 36 positive divisors give a proper-divisor sum of 12,476,028, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 9199

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 20,092,800

Proper Divisor Sum 12,476,028

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7616771 ← → #7616797

Radix Representation

Decimal	7616772
Binary	11101000011100100000100 (23 bits)
Octal	0o35034404
Hexadecimal	0x743904

Divisor Catalog (36)

Collatz Trajectory (173 steps to reach 1)

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

7,616,772 3,808,386 1,904,193 5,712,580 2,856,290 1,428,145 4,284,436 2,142,218 1,071,109 3,213,328 1,606,664 803,332 401,666 200,833 602,500 301,250 150,625 451,876 225,938 112,969 338,908 169,454 84,727 254,182 127,091 381,274 190,637 571,912 285,956 142,978 71,489 214,468 107,234 53,617 160,852 80,426 40,213 120,640 60,320 30,160 15,080 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,616,771 Browse Full Index Next Integer #7,616,773 →