λ
Harmonic Matrix

8,231,717

13 × 633209
Deficient Odd Composite

8,231,717 has digital root 2. The neighboring primes are 8231683 and 8231747; its proper-divisor sum differs from the starting integer by -7,598,494.

Prime Factor Structure

Factorization String 13 × 633209
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,864,940
Proper Divisor Sum 633,223
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8231683 ← → #8231747

Radix Representation

Decimal 8231717
Binary 11111011001101100100101 (23 bits)
Octal 0o37315445
Hexadecimal 0x7D9B25

Divisor Catalog (4)

1 13 633,209 8,231,717

Collatz Trajectory (137 steps to reach 1)

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

8,231,717 24,695,152 12,347,576 6,173,788 3,086,894 1,543,447 4,630,342 2,315,171 6,945,514 3,472,757 10,418,272 5,209,136 2,604,568 1,302,284 651,142 325,571 976,714 488,357 1,465,072 732,536 366,268 183,134 91,567 274,702 137,351 412,054 206,027 618,082 309,041 927,124 463,562 231,781 695,344 347,672 173,836 86,918 43,459 130,378 65,189 195,568 97,784 48,892 24,446 12,223 36,670 18,335 55,006 27,503 82,510 41,255 123,766 61,883 185,650 92,825 278,476 139,238 69,619 208,858 104,429 313,288

More profiles

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