λ
Harmonic Matrix

9,157,379

7 × 11 × 118927
Deficient Odd Composite

9,157,379 has digital root 5. The neighboring primes are 9157321 and 9157387; its proper-divisor sum differs from the starting integer by -6,897,670.

Prime Factor Structure

Factorization String 7 × 11 × 118927
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,417,088
Proper Divisor Sum 2,259,709
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9157321 ← → #9157387

Radix Representation

Decimal 9157379
Binary 100010111011101100000011 (24 bits)
Octal 0o42735403
Hexadecimal 0x8BBB03

Divisor Catalog (8)

1 7 11 77 118,927 832,489 1,308,197 9,157,379

Collatz Trajectory (163 steps to reach 1)

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

9,157,379 27,472,138 13,736,069 41,208,208 20,604,104 10,302,052 5,151,026 2,575,513 7,726,540 3,863,270 1,931,635 5,794,906 2,897,453 8,692,360 4,346,180 2,173,090 1,086,545 3,259,636 1,629,818 814,909 2,444,728 1,222,364 611,182 305,591 916,774 458,387 1,375,162 687,581 2,062,744 1,031,372 515,686 257,843 773,530 386,765 1,160,296 580,148 290,074 145,037 435,112 217,556 108,778 54,389 163,168 81,584 40,792 20,396 10,198 5,099 15,298 7,649 22,948 11,474 5,737 17,212 8,606 4,303 12,910 6,455 19,366 9,683

More profiles

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