λ
Harmonic Matrix

9,672,272

24 × 604517
Deficient Even Composite

9,672,272 has digital root 8. The neighboring primes are 9672233 and 9672277; its proper-divisor sum differs from the starting integer by -604,486.

Prime Factor Structure

Factorization String 2^4 × 604517
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 18,740,058
Proper Divisor Sum 9,067,786
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9672233 ← → #9672277

Radix Representation

Decimal 9672272
Binary 100100111001011001010000 (24 bits)
Octal 0o44713120
Hexadecimal 0x939650

Divisor Catalog (10)

1 2 4 8 16 604,517 1,209,034 2,418,068 4,836,136 9,672,272

Collatz Trajectory (251 steps to reach 1)

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

9,672,272 4,836,136 2,418,068 1,209,034 604,517 1,813,552 906,776 453,388 226,694 113,347 340,042 170,021 510,064 255,032 127,516 63,758 31,879 95,638 47,819 143,458 71,729 215,188 107,594 53,797 161,392 80,696 40,348 20,174 10,087 30,262 15,131 45,394 22,697 68,092 34,046 17,023 51,070 25,535 76,606 38,303 114,910 57,455 172,366 86,183 258,550 129,275 387,826 193,913 581,740 290,870 145,435 436,306 218,153 654,460 327,230 163,615 490,846 245,423 736,270 368,135

More profiles

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