λ
Harmonic Matrix

9,253,577

41 × 225697
Deficient Odd Composite

9,253,577 has digital root 2. The neighboring primes are 9253561 and 9253579; its proper-divisor sum differs from the starting integer by -9,027,838.

Prime Factor Structure

Factorization String 41 × 225697
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,479,316
Proper Divisor Sum 225,739
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9253561 ← → #9253579

Radix Representation

Decimal 9253577
Binary 100011010011001011001001 (24 bits)
Octal 0o43231311
Hexadecimal 0x8D32C9

Divisor Catalog (4)

1 41 225,697 9,253,577

Collatz Trajectory (194 steps to reach 1)

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

9,253,577 27,760,732 13,880,366 6,940,183 20,820,550 10,410,275 31,230,826 15,615,413 46,846,240 23,423,120 11,711,560 5,855,780 2,927,890 1,463,945 4,391,836 2,195,918 1,097,959 3,293,878 1,646,939 4,940,818 2,470,409 7,411,228 3,705,614 1,852,807 5,558,422 2,779,211 8,337,634 4,168,817 12,506,452 6,253,226 3,126,613 9,379,840 4,689,920 2,344,960 1,172,480 586,240 293,120 146,560 73,280 36,640 18,320 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633

More profiles

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