9,729,968

2⁴ × 608123

9,729,968 factors as 2^4 × 608123. Its 10 positive divisors give a proper-divisor sum of 9,121,876, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 608123

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 18,851,844

Proper Divisor Sum 9,121,876

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #9729961 ← → #9729983

Radix Representation

Decimal	9729968
Binary	100101000111011110110000 (24 bits)
Octal	0o45073660
Hexadecimal	0x9477B0

Divisor Catalog (10)

1 2 4 8 16 608,123 1,216,246 2,432,492 4,864,984 9,729,968

Collatz Trajectory (176 steps to reach 1)

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

9,729,968 4,864,984 2,432,492 1,216,246 608,123 1,824,370 912,185 2,736,556 1,368,278 684,139 2,052,418 1,026,209 3,078,628 1,539,314 769,657 2,308,972 1,154,486 577,243 1,731,730 865,865 2,597,596 1,298,798 649,399 1,948,198 974,099 2,922,298 1,461,149 4,383,448 2,191,724 1,095,862 547,931 1,643,794 821,897 2,465,692 1,232,846 616,423 1,849,270 924,635 2,773,906 1,386,953 4,160,860 2,080,430 1,040,215 3,120,646 1,560,323 4,680,970 2,340,485 7,021,456 3,510,728 1,755,364 877,682 438,841 1,316,524 658,262 329,131 987,394 493,697 1,481,092 740,546 370,273

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,729,967 Browse Full Index Next Integer #9,729,969 →