λ
Harmonic Matrix

9,730,690

2 × 5 × 973069
Deficient Even Composite

9,730,690 has digital root 7. The neighboring primes are 9730673 and 9730691; its proper-divisor sum differs from the starting integer by -1,946,120.

Prime Factor Structure

Factorization String 2 × 5 × 973069
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,515,260
Proper Divisor Sum 7,784,570
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9730673 ← → #9730691

Radix Representation

Decimal 9730690
Binary 100101000111101010000010 (24 bits)
Octal 0o45075202
Hexadecimal 0x947A82

Divisor Catalog (8)

1 2 5 10 973,069 1,946,138 4,865,345 9,730,690

Collatz Trajectory (101 steps to reach 1)

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

9,730,690 4,865,345 14,596,036 7,298,018 3,649,009 10,947,028 5,473,514 2,736,757 8,210,272 4,105,136 2,052,568 1,026,284 513,142 256,571 769,714 384,857 1,154,572 577,286 288,643 865,930 432,965 1,298,896 649,448 324,724 162,362 81,181 243,544 121,772 60,886 30,443 91,330 45,665 136,996 68,498 34,249 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348 21,674 10,837 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287

More profiles

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