λ
Harmonic Matrix

9,023,225

52 × 67 × 5387
Deficient Odd Composite

9,023,225 has digital root 5. The neighboring primes are 9023221 and 9023237; its proper-divisor sum differs from the starting integer by -6,688,546.

Prime Factor Structure

Factorization String 5^2 × 67 × 5387
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,357,904
Proper Divisor Sum 2,334,679
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9023221 ← → #9023237

Radix Representation

Decimal 9023225
Binary 100010011010111011111001 (24 bits)
Octal 0o42327371
Hexadecimal 0x89AEF9

Divisor Catalog (12)

1 5 25 67 335 1,675 5,387 26,935 134,675 360,929 1,804,645 9,023,225

Collatz Trajectory (181 steps to reach 1)

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

9,023,225 27,069,676 13,534,838 6,767,419 20,302,258 10,151,129 30,453,388 15,226,694 7,613,347 22,840,042 11,420,021 34,260,064 17,130,032 8,565,016 4,282,508 2,141,254 1,070,627 3,211,882 1,605,941 4,817,824 2,408,912 1,204,456 602,228 301,114 150,557 451,672 225,836 112,918 56,459 169,378 84,689 254,068 127,034 63,517 190,552 95,276 47,638 23,819 71,458 35,729 107,188 53,594 26,797 80,392 40,196 20,098 10,049 30,148 15,074 7,537 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265

More profiles

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