λ
Harmonic Matrix

9,171,504

24 × 32 × 63691
Abundant Even Composite

9,171,504 has digital root 9. The neighboring primes are 9171497 and 9171527; its proper-divisor sum differs from the starting integer by 7,324,868.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 63691
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 25,667,876
Proper Divisor Sum 16,496,372
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9171497 ← → #9171527

Radix Representation

Decimal 9171504
Binary 100010111111001000110000 (24 bits)
Octal 0o42771060
Hexadecimal 0x8BF230

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 63,691 127,382 191,073 254,764 382,146 509,528 573,219 764,292 1,019,056 1,146,438 1,528,584 2,292,876 3,057,168 4,585,752 9,171,504

Collatz Trajectory (225 steps to reach 1)

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

9,171,504 4,585,752 2,292,876 1,146,438 573,219 1,719,658 859,829 2,579,488 1,289,744 644,872 322,436 161,218 80,609 241,828 120,914 60,457 181,372 90,686 45,343 136,030 68,015 204,046 102,023 306,070 153,035 459,106 229,553 688,660 344,330 172,165 516,496 258,248 129,124 64,562 32,281 96,844 48,422 24,211 72,634 36,317 108,952 54,476 27,238 13,619 40,858 20,429 61,288 30,644 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700

More profiles

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