λ
Sigma Notebook

8,242,993

11 × 23 × 31 × 1051
Deficient Odd Composite

8,242,993 is odd and not a perfect square. Its factorization is 11 × 23 × 31 × 1051 and its 16 divisors sum to 9,695,232.

Prime Factor Structure

Factorization String 11 × 23 × 31 × 1051
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,695,232
Proper Divisor Sum 1,452,239
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8242961 ← → #8243023

Radix Representation

Decimal 8242993
Binary 11111011100011100110001 (23 bits)
Octal 0o37343461
Hexadecimal 0x7DC731

Divisor Catalog (16)

1 11 23 31 253 341 713 1,051 7,843 11,561 24,173 32,581 265,903 358,391 749,363 8,242,993

Collatz Trajectory (168 steps to reach 1)

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

8,242,993 24,728,980 12,364,490 6,182,245 18,546,736 9,273,368 4,636,684 2,318,342 1,159,171 3,477,514 1,738,757 5,216,272 2,608,136 1,304,068 652,034 326,017 978,052 489,026 244,513 733,540 366,770 183,385 550,156 275,078 137,539 412,618 206,309 618,928 309,464 154,732 77,366 38,683 116,050 58,025 174,076 87,038 43,519 130,558 65,279 195,838 97,919 293,758 146,879 440,638 220,319 660,958 330,479 991,438 495,719 1,487,158 743,579 2,230,738 1,115,369 3,346,108 1,673,054 836,527 2,509,582 1,254,791 3,764,374 1,882,187

More profiles

← Previous Integer #8,242,992 Browse Full Index Next Integer #8,242,994 →