λ
Harmonic Matrix

9,397,832

23 × 433 × 2713
Deficient Even Composite

9,397,832 has digital root 5. The neighboring primes are 9397831 and 9397847; its proper-divisor sum differs from the starting integer by -1,127,524.

Prime Factor Structure

Factorization String 2^3 × 433 × 2713
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,668,140
Proper Divisor Sum 8,270,308
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9397831 ← → #9397847

Radix Representation

Decimal 9397832
Binary 100011110110011001001000 (24 bits)
Octal 0o43663110
Hexadecimal 0x8F6648

Divisor Catalog (16)

1 2 4 8 433 866 1,732 2,713 3,464 5,426 10,852 21,704 1,174,729 2,349,458 4,698,916 9,397,832

Collatz Trajectory (225 steps to reach 1)

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

9,397,832 4,698,916 2,349,458 1,174,729 3,524,188 1,762,094 881,047 2,643,142 1,321,571 3,964,714 1,982,357 5,947,072 2,973,536 1,486,768 743,384 371,692 185,846 92,923 278,770 139,385 418,156 209,078 104,539 313,618 156,809 470,428 235,214 117,607 352,822 176,411 529,234 264,617 793,852 396,926 198,463 595,390 297,695 893,086 446,543 1,339,630 669,815 2,009,446 1,004,723 3,014,170 1,507,085 4,521,256 2,260,628 1,130,314 565,157 1,695,472 847,736 423,868 211,934 105,967 317,902 158,951 476,854 238,427 715,282 357,641

More profiles

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