λ
Harmonic Matrix

9,066,472

23 × 103 × 11003
Deficient Even Composite

9,066,472 has digital root 7. The neighboring primes are 9066469 and 9066481; its proper-divisor sum differs from the starting integer by -966,704.

Prime Factor Structure

Factorization String 2^3 × 103 × 11003
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,166,240
Proper Divisor Sum 8,099,768
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9066469 ← → #9066481

Radix Representation

Decimal 9066472
Binary 100010100101011111101000 (24 bits)
Octal 0o42453750
Hexadecimal 0x8A57E8

Divisor Catalog (16)

1 2 4 8 103 206 412 824 11,003 22,006 44,012 88,024 1,133,309 2,266,618 4,533,236 9,066,472

Collatz Trajectory (212 steps to reach 1)

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

9,066,472 4,533,236 2,266,618 1,133,309 3,399,928 1,699,964 849,982 424,991 1,274,974 637,487 1,912,462 956,231 2,868,694 1,434,347 4,303,042 2,151,521 6,454,564 3,227,282 1,613,641 4,840,924 2,420,462 1,210,231 3,630,694 1,815,347 5,446,042 2,723,021 8,169,064 4,084,532 2,042,266 1,021,133 3,063,400 1,531,700 765,850 382,925 1,148,776 574,388 287,194 143,597 430,792 215,396 107,698 53,849 161,548 80,774 40,387 121,162 60,581 181,744 90,872 45,436 22,718 11,359 34,078 17,039 51,118 25,559 76,678 38,339 115,018 57,509

More profiles

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