λ
Harmonic Matrix

9,387,131

13 × 227 × 3181
Deficient Odd Composite

9,387,131 has digital root 5. The neighboring primes are 9387127 and 9387163; its proper-divisor sum differs from the starting integer by -8,617,318.

Prime Factor Structure

Factorization String 13 × 227 × 3181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,156,944
Proper Divisor Sum 769,813
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9387127 ← → #9387163

Radix Representation

Decimal 9387131
Binary 100011110011110001111011 (24 bits)
Octal 0o43636173
Hexadecimal 0x8F3C7B

Divisor Catalog (8)

1 13 227 2,951 3,181 41,353 722,087 9,387,131

Collatz Trajectory (163 steps to reach 1)

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

9,387,131 28,161,394 14,080,697 42,242,092 21,121,046 10,560,523 31,681,570 15,840,785 47,522,356 23,761,178 11,880,589 35,641,768 17,820,884 8,910,442 4,455,221 13,365,664 6,682,832 3,341,416 1,670,708 835,354 417,677 1,253,032 626,516 313,258 156,629 469,888 234,944 117,472 58,736 29,368 14,684 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47

More profiles

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