λ
Sigma Notebook

8,283,315

3 × 5 × 97 × 5693
Deficient Odd Composite

8,283,315 is odd and not a perfect square. Its factorization is 3 × 5 × 97 × 5693 and its 16 divisors sum to 13,392,288.

Prime Factor Structure

Factorization String 3 × 5 × 97 × 5693
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,392,288
Proper Divisor Sum 5,108,973
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8283287 ← → #8283329

Radix Representation

Decimal 8283315
Binary 11111100110010010110011 (23 bits)
Octal 0o37462263
Hexadecimal 0x7E64B3

Divisor Catalog (16)

1 3 5 15 97 291 485 1,455 5,693 17,079 28,465 85,395 552,221 1,656,663 2,761,105 8,283,315

Collatz Trajectory (305 steps to reach 1)

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

8,283,315 24,849,946 12,424,973 37,274,920 18,637,460 9,318,730 4,659,365 13,978,096 6,989,048 3,494,524 1,747,262 873,631 2,620,894 1,310,447 3,931,342 1,965,671 5,897,014 2,948,507 8,845,522 4,422,761 13,268,284 6,634,142 3,317,071 9,951,214 4,975,607 14,926,822 7,463,411 22,390,234 11,195,117 33,585,352 16,792,676 8,396,338 4,198,169 12,594,508 6,297,254 3,148,627 9,445,882 4,722,941 14,168,824 7,084,412 3,542,206 1,771,103 5,313,310 2,656,655 7,969,966 3,984,983 11,954,950 5,977,475 17,932,426 8,966,213 26,898,640 13,449,320 6,724,660 3,362,330 1,681,165 5,043,496 2,521,748 1,260,874 630,437 1,891,312

More profiles

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