λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,727,168

9,727,168

26 × 11 × 41 × 337
Abundant Even Composite

9,727,168 factors as 2^6 × 11 × 41 × 337. Its 56 positive divisors give a proper-divisor sum of 11,907,536, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 41 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 21,634,704
Proper Divisor Sum 11,907,536
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9727163 ← → #9727169

Radix Representation

Decimal 9727168
Binary 100101000110110011000000 (24 bits)
Octal 0o45066300
Hexadecimal 0x946CC0

Divisor Catalog (56)

1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 337 352 451 656 674 704 902 1,312 1,348 1,804 2,624 2,696 3,608 3,707 5,392 7,216 7,414 10,784 13,817 14,432 14,828 21,568 27,634 28,864 29,656 55,268 59,312 110,536 118,624 151,987 221,072 237,248 303,974 442,144 607,948 884,288 1,215,896 2,431,792 4,863,584 9,727,168

Collatz Trajectory (62 steps to reach 1)

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

9,727,168 4,863,584 2,431,792 1,215,896 607,948 303,974 151,987 455,962 227,981 683,944 341,972 170,986 85,493 256,480 128,240 64,120 32,060 16,030 8,015 24,046 12,023 36,070 18,035 54,106 27,053 81,160 40,580 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,727,167 Browse Full Index Next Integer #9,727,169 →