λ
Sigma Notebook

7,732,317

3 × 2577439
Deficient Odd Composite

7,732,317 is odd and not a perfect square. Its factorization is 3 × 2577439 and its 4 divisors sum to 10,309,760.

Prime Factor Structure

Factorization String 3 × 2577439
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,309,760
Proper Divisor Sum 2,577,443
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7732289 ← → #7732321

Radix Representation

Decimal 7732317
Binary 11101011111110001011101 (23 bits)
Octal 0o35376135
Hexadecimal 0x75FC5D

Divisor Catalog (4)

1 3 2,577,439 7,732,317

Collatz Trajectory (217 steps to reach 1)

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

7,732,317 23,196,952 11,598,476 5,799,238 2,899,619 8,698,858 4,349,429 13,048,288 6,524,144 3,262,072 1,631,036 815,518 407,759 1,223,278 611,639 1,834,918 917,459 2,752,378 1,376,189 4,128,568 2,064,284 1,032,142 516,071 1,548,214 774,107 2,322,322 1,161,161 3,483,484 1,741,742 870,871 2,612,614 1,306,307 3,918,922 1,959,461 5,878,384 2,939,192 1,469,596 734,798 367,399 1,102,198 551,099 1,653,298 826,649 2,479,948 1,239,974 619,987 1,859,962 929,981 2,789,944 1,394,972 697,486 348,743 1,046,230 523,115 1,569,346 784,673 2,354,020 1,177,010 588,505 1,765,516

More profiles

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