λ
Sigma Notebook

9,242,822

2 × 29 × 37 × 59 × 73
Deficient Even Composite

9,242,822 is even and not a perfect square. Its factorization is 2 × 29 × 37 × 59 × 73 and its 32 divisors sum to 15,184,800.

Prime Factor Structure

Factorization String 2 × 29 × 37 × 59 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,184,800
Proper Divisor Sum 5,941,978
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9242819 ← → #9242833

Radix Representation

Decimal 9242822
Binary 100011010000100011000110 (24 bits)
Octal 0o43204306
Hexadecimal 0x8D08C6

Divisor Catalog (32)

1 2 29 37 58 59 73 74 118 146 1,073 1,711 2,117 2,146 2,183 2,701 3,422 4,234 4,307 4,366 5,402 8,614 63,307 78,329 124,903 126,614 156,658 159,359 249,806 318,718 4,621,411 9,242,822

Collatz Trajectory (238 steps to reach 1)

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

9,242,822 4,621,411 13,864,234 6,932,117 20,796,352 10,398,176 5,199,088 2,599,544 1,299,772 649,886 324,943 974,830 487,415 1,462,246 731,123 2,193,370 1,096,685 3,290,056 1,645,028 822,514 411,257 1,233,772 616,886 308,443 925,330 462,665 1,387,996 693,998 346,999 1,040,998 520,499 1,561,498 780,749 2,342,248 1,171,124 585,562 292,781 878,344 439,172 219,586 109,793 329,380 164,690 82,345 247,036 123,518 61,759 185,278 92,639 277,918 138,959 416,878 208,439 625,318 312,659 937,978 468,989 1,406,968 703,484 351,742

More profiles

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