λ
Harmonic Matrix

9,097,172

22 × 7 × 569 × 571
Abundant Even Composite

9,097,172 has digital root 8. The neighboring primes are 9097169 and 9097177; its proper-divisor sum differs from the starting integer by 63,896.

Prime Factor Structure

Factorization String 2^2 × 7 × 569 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,258,240
Proper Divisor Sum 9,161,068
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9097169 ← → #9097177

Radix Representation

Decimal 9097172
Binary 100010101100111111010100 (24 bits)
Octal 0o42547724
Hexadecimal 0x8ACFD4

Divisor Catalog (24)

1 2 4 7 14 28 569 571 1,138 1,142 2,276 2,284 3,983 3,997 7,966 7,994 15,932 15,988 324,899 649,798 1,299,596 2,274,293 4,548,586 9,097,172

Collatz Trajectory (225 steps to reach 1)

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

9,097,172 4,548,586 2,274,293 6,822,880 3,411,440 1,705,720 852,860 426,430 213,215 639,646 319,823 959,470 479,735 1,439,206 719,603 2,158,810 1,079,405 3,238,216 1,619,108 809,554 404,777 1,214,332 607,166 303,583 910,750 455,375 1,366,126 683,063 2,049,190 1,024,595 3,073,786 1,536,893 4,610,680 2,305,340 1,152,670 576,335 1,729,006 864,503 2,593,510 1,296,755 3,890,266 1,945,133 5,835,400 2,917,700 1,458,850 729,425 2,188,276 1,094,138 547,069 1,641,208 820,604 410,302 205,151 615,454 307,727 923,182 461,591 1,384,774 692,387 2,077,162

More profiles

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