λ
Harmonic Matrix

9,354,027

3 × 41 × 113 × 673
Deficient Odd Composite

9,354,027 has digital root 3. The neighboring primes are 9354019 and 9354043; its proper-divisor sum differs from the starting integer by -5,799,606.

Prime Factor Structure

Factorization String 3 × 41 × 113 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,908,448
Proper Divisor Sum 3,554,421
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9354019 ← → #9354043

Radix Representation

Decimal 9354027
Binary 100011101011101100101011 (24 bits)
Octal 0o43535453
Hexadecimal 0x8EBB2B

Divisor Catalog (16)

1 3 41 113 123 339 673 2,019 4,633 13,899 27,593 76,049 82,779 228,147 3,118,009 9,354,027

Collatz Trajectory (150 steps to reach 1)

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

9,354,027 28,062,082 14,031,041 42,093,124 21,046,562 10,523,281 31,569,844 15,784,922 7,892,461 23,677,384 11,838,692 5,919,346 2,959,673 8,879,020 4,439,510 2,219,755 6,659,266 3,329,633 9,988,900 4,994,450 2,497,225 7,491,676 3,745,838 1,872,919 5,618,758 2,809,379 8,428,138 4,214,069 12,642,208 6,321,104 3,160,552 1,580,276 790,138 395,069 1,185,208 592,604 296,302 148,151 444,454 222,227 666,682 333,341 1,000,024 500,012 250,006 125,003 375,010 187,505 562,516 281,258 140,629 421,888 210,944 105,472 52,736 26,368 13,184 6,592 3,296 1,648

More profiles

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