λ
Harmonic Matrix

8,174,133

32 × 11 × 82567
Deficient Odd Composite

8,174,133 has digital root 9. The neighboring primes are 8174113 and 8174167; its proper-divisor sum differs from the starting integer by -3,467,658.

Prime Factor Structure

Factorization String 3^2 × 11 × 82567
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,880,608
Proper Divisor Sum 4,706,475
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8174113 ← → #8174167

Radix Representation

Decimal 8174133
Binary 11111001011101000110101 (23 bits)
Octal 0o37135065
Hexadecimal 0x7CBA35

Divisor Catalog (12)

1 3 9 11 33 99 82,567 247,701 743,103 908,237 2,724,711 8,174,133

Collatz Trajectory (106 steps to reach 1)

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

8,174,133 24,522,400 12,261,200 6,130,600 3,065,300 1,532,650 766,325 2,298,976 1,149,488 574,744 287,372 143,686 71,843 215,530 107,765 323,296 161,648 80,824 40,412 20,206 10,103 30,310 15,155 45,466 22,733 68,200 34,100 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444

More profiles

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