λ
Sigma Notebook

6,304,837

7 × 11 × 37 × 2213
Deficient Odd Composite

6,304,837 is odd and not a perfect square. Its factorization is 7 × 11 × 37 × 2213 and its 16 divisors sum to 8,076,672.

Prime Factor Structure

Factorization String 7 × 11 × 37 × 2213
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,076,672
Proper Divisor Sum 1,771,835
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6304817 ← → #6304847

Radix Representation

Decimal 6304837
Binary 11000000011010001000101 (23 bits)
Octal 0o30032105
Hexadecimal 0x603445

Divisor Catalog (16)

1 7 11 37 77 259 407 2,213 2,849 15,491 24,343 81,881 170,401 573,167 900,691 6,304,837

Collatz Trajectory (152 steps to reach 1)

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

6,304,837 18,914,512 9,457,256 4,728,628 2,364,314 1,182,157 3,546,472 1,773,236 886,618 443,309 1,329,928 664,964 332,482 166,241 498,724 249,362 124,681 374,044 187,022 93,511 280,534 140,267 420,802 210,401 631,204 315,602 157,801 473,404 236,702 118,351 355,054 177,527 532,582 266,291 798,874 399,437 1,198,312 599,156 299,578 149,789 449,368 224,684 112,342 56,171 168,514 84,257 252,772 126,386 63,193 189,580 94,790 47,395 142,186 71,093 213,280 106,640 53,320 26,660 13,330 6,665

More profiles

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