λ
Sigma Notebook

9,814,287

3 × 7 × 17 × 37 × 743
Deficient Odd Composite

9,814,287 is odd and not a perfect square. Its factorization is 3 × 7 × 17 × 37 × 743 and its 32 divisors sum to 16,284,672.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 37 × 743
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,284,672
Proper Divisor Sum 6,470,385
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9814247 ← → #9814289

Radix Representation

Decimal 9814287
Binary 100101011100000100001111 (24 bits)
Octal 0o45340417
Hexadecimal 0x95C10F

Divisor Catalog (32)

1 3 7 17 21 37 51 111 119 259 357 629 743 777 1,887 2,229 4,403 5,201 12,631 13,209 15,603 27,491 37,893 82,473 88,417 192,437 265,251 467,347 577,311 1,402,041 3,271,429 9,814,287

Collatz Trajectory (207 steps to reach 1)

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

9,814,287 29,442,862 14,721,431 44,164,294 22,082,147 66,246,442 33,123,221 99,369,664 49,684,832 24,842,416 12,421,208 6,210,604 3,105,302 1,552,651 4,657,954 2,328,977 6,986,932 3,493,466 1,746,733 5,240,200 2,620,100 1,310,050 655,025 1,965,076 982,538 491,269 1,473,808 736,904 368,452 184,226 92,113 276,340 138,170 69,085 207,256 103,628 51,814 25,907 77,722 38,861 116,584 58,292 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730

More profiles

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