λ
Sigma Notebook

9,177,345

32 × 5 × 23 × 8867
Deficient Odd Composite

9,177,345 is odd and not a perfect square. Its factorization is 3^2 × 5 × 23 × 8867 and its 24 divisors sum to 16,600,896.

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 8867
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,600,896
Proper Divisor Sum 7,423,551
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9177319 ← → #9177347

Radix Representation

Decimal 9177345
Binary 100011000000100100000001 (24 bits)
Octal 0o43004401
Hexadecimal 0x8C0901

Divisor Catalog (24)

1 3 5 9 15 23 45 69 115 207 345 1,035 8,867 26,601 44,335 79,803 133,005 203,941 399,015 611,823 1,019,705 1,835,469 3,059,115 9,177,345

Collatz Trajectory (106 steps to reach 1)

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

9,177,345 27,532,036 13,766,018 6,883,009 20,649,028 10,324,514 5,162,257 15,486,772 7,743,386 3,871,693 11,615,080 5,807,540 2,903,770 1,451,885 4,355,656 2,177,828 1,088,914 544,457 1,633,372 816,686 408,343 1,225,030 612,515 1,837,546 918,773 2,756,320 1,378,160 689,080 344,540 172,270 86,135 258,406 129,203 387,610 193,805 581,416 290,708 145,354 72,677 218,032 109,016 54,508 27,254 13,627 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618

More profiles

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