λ
Harmonic Matrix

9,218,023

9218023
Deficient Odd Prime

9,218,023 has digital root 7. The neighboring primes are 9218017 and 9218047; its proper-divisor sum differs from the starting integer by -9,218,022.

Prime Factor Structure

Factorization String 9218023
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,218,024
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9218017 ← → #9218047

Radix Representation

Decimal 9218023
Binary 100011001010011111100111 (24 bits)
Octal 0o43123747
Hexadecimal 0x8CA7E7

Divisor Catalog (2)

Collatz Trajectory (256 steps to reach 1)

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

9,218,023 27,654,070 13,827,035 41,481,106 20,740,553 62,221,660 31,110,830 15,555,415 46,666,246 23,333,123 69,999,370 34,999,685 104,999,056 52,499,528 26,249,764 13,124,882 6,562,441 19,687,324 9,843,662 4,921,831 14,765,494 7,382,747 22,148,242 11,074,121 33,222,364 16,611,182 8,305,591 24,916,774 12,458,387 37,375,162 18,687,581 56,062,744 28,031,372 14,015,686 7,007,843 21,023,530 10,511,765 31,535,296 15,767,648 7,883,824 3,941,912 1,970,956 985,478 492,739 1,478,218 739,109 2,217,328 1,108,664 554,332 277,166 138,583 415,750 207,875 623,626 311,813 935,440 467,720 233,860 116,930 58,465

More profiles

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