λ
Harmonic Matrix

9,067,931

271 × 33461
Deficient Odd Composite

9,067,931 has digital root 8. The neighboring primes are 9067913 and 9067937; its proper-divisor sum differs from the starting integer by -9,034,198.

Prime Factor Structure

Factorization String 271 × 33461
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,101,664
Proper Divisor Sum 33,733
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9067913 ← → #9067937

Radix Representation

Decimal 9067931
Binary 100010100101110110011011 (24 bits)
Octal 0o42456633
Hexadecimal 0x8A5D9B

Divisor Catalog (4)

1 271 33,461 9,067,931

Collatz Trajectory (132 steps to reach 1)

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

9,067,931 27,203,794 13,601,897 40,805,692 20,402,846 10,201,423 30,604,270 15,302,135 45,906,406 22,953,203 68,859,610 34,429,805 103,289,416 51,644,708 25,822,354 12,911,177 38,733,532 19,366,766 9,683,383 29,050,150 14,525,075 43,575,226 21,787,613 65,362,840 32,681,420 16,340,710 8,170,355 24,511,066 12,255,533 36,766,600 18,383,300 9,191,650 4,595,825 13,787,476 6,893,738 3,446,869 10,340,608 5,170,304 2,585,152 1,292,576 646,288 323,144 161,572 80,786 40,393 121,180 60,590 30,295 90,886 45,443 136,330 68,165 204,496 102,248 51,124 25,562 12,781 38,344 19,172 9,586

More profiles

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