9,278,401

11³ × 6971

9,278,401 factors as 11^3 × 6971. Its 8 positive divisors give a proper-divisor sum of 928,607, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 11^3 × 6971

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,207,008

Proper Divisor Sum 928,607

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9278383 ← → #9278429

Radix Representation

Decimal	9278401
Binary	100011011001001111000001 (24 bits)
Octal	0o43311701
Hexadecimal	0x8D93C1

Divisor Catalog (8)

1 11 121 1,331 6,971 76,681 843,491 9,278,401

Collatz Trajectory (225 steps to reach 1)

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

9,278,401 27,835,204 13,917,602 6,958,801 20,876,404 10,438,202 5,219,101 15,657,304 7,828,652 3,914,326 1,957,163 5,871,490 2,935,745 8,807,236 4,403,618 2,201,809 6,605,428 3,302,714 1,651,357 4,954,072 2,477,036 1,238,518 619,259 1,857,778 928,889 2,786,668 1,393,334 696,667 2,090,002 1,045,001 3,135,004 1,567,502 783,751 2,351,254 1,175,627 3,526,882 1,763,441 5,290,324 2,645,162 1,322,581 3,967,744 1,983,872 991,936 495,968 247,984 123,992 61,996 30,998 15,499 46,498 23,249 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809

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