λ
Harmonic Matrix

9,555,756

22 × 3 × 7 × 113759
Abundant Even Composite

9,555,756 has digital root 6. The neighboring primes are 9555739 and 9555757; its proper-divisor sum differs from the starting integer by 6,370,728.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 113759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 25,482,240
Proper Divisor Sum 15,926,484
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9555739 ← → #9555757

Radix Representation

Decimal 9555756
Binary 100100011100111100101100 (24 bits)
Octal 0o44347454
Hexadecimal 0x91CF2C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 113,759 227,518 341,277 455,036 682,554 796,313 1,365,108 1,592,626 2,388,939 3,185,252 4,777,878 9,555,756

Collatz Trajectory (101 steps to reach 1)

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

9,555,756 4,777,878 2,388,939 7,166,818 3,583,409 10,750,228 5,375,114 2,687,557 8,062,672 4,031,336 2,015,668 1,007,834 503,917 1,511,752 755,876 377,938 188,969 566,908 283,454 141,727 425,182 212,591 637,774 318,887 956,662 478,331 1,434,994 717,497 2,152,492 1,076,246 538,123 1,614,370 807,185 2,421,556 1,210,778 605,389 1,816,168 908,084 454,042 227,021 681,064 340,532 170,266 85,133 255,400 127,700 63,850 31,925 95,776 47,888 23,944 11,972 5,986 2,993 8,980 4,490 2,245 6,736 3,368 1,684

More profiles

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