λ
Harmonic Matrix

9,642,364

22 × 31 × 77761
Deficient Even Composite

9,642,364 has digital root 7. The neighboring primes are 9642341 and 9642371; its proper-divisor sum differs from the starting integer by -1,866,040.

Prime Factor Structure

Factorization String 2^2 × 31 × 77761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,418,688
Proper Divisor Sum 7,776,324
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9642341 ← → #9642371

Radix Representation

Decimal 9642364
Binary 100100110010000101111100 (24 bits)
Octal 0o44620574
Hexadecimal 0x93217C

Divisor Catalog (12)

1 2 4 31 62 124 77,761 155,522 311,044 2,410,591 4,821,182 9,642,364

Collatz Trajectory (269 steps to reach 1)

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

9,642,364 4,821,182 2,410,591 7,231,774 3,615,887 10,847,662 5,423,831 16,271,494 8,135,747 24,407,242 12,203,621 36,610,864 18,305,432 9,152,716 4,576,358 2,288,179 6,864,538 3,432,269 10,296,808 5,148,404 2,574,202 1,287,101 3,861,304 1,930,652 965,326 482,663 1,447,990 723,995 2,171,986 1,085,993 3,257,980 1,628,990 814,495 2,443,486 1,221,743 3,665,230 1,832,615 5,497,846 2,748,923 8,246,770 4,123,385 12,370,156 6,185,078 3,092,539 9,277,618 4,638,809 13,916,428 6,958,214 3,479,107 10,437,322 5,218,661 15,655,984 7,827,992 3,913,996 1,956,998 978,499 2,935,498 1,467,749 4,403,248 2,201,624

More profiles

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