λ
Sigma Notebook

9,199,365

3 × 5 × 7 × 87613
Deficient Odd Composite

9,199,365 is odd and not a perfect square. Its factorization is 3 × 5 × 7 × 87613 and its 16 divisors sum to 16,821,888.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 87613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,821,888
Proper Divisor Sum 7,622,523
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9199331 ← → #9199391

Radix Representation

Decimal 9199365
Binary 100011000101111100000101 (24 bits)
Octal 0o43057405
Hexadecimal 0x8C5F05

Divisor Catalog (16)

1 3 5 7 15 21 35 105 87,613 262,839 438,065 613,291 1,314,195 1,839,873 3,066,455 9,199,365

Collatz Trajectory (194 steps to reach 1)

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

9,199,365 27,598,096 13,799,048 6,899,524 3,449,762 1,724,881 5,174,644 2,587,322 1,293,661 3,880,984 1,940,492 970,246 485,123 1,455,370 727,685 2,183,056 1,091,528 545,764 272,882 136,441 409,324 204,662 102,331 306,994 153,497 460,492 230,246 115,123 345,370 172,685 518,056 259,028 129,514 64,757 194,272 97,136 48,568 24,284 12,142 6,071 18,214 9,107 27,322 13,661 40,984 20,492 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622

More profiles

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