λ
Harmonic Matrix

5,023,692

22 × 32 × 139547
Abundant Even Composite

5,023,692 has digital root 9. The neighboring primes are 5023679 and 5023693; its proper-divisor sum differs from the starting integer by 2,651,484.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 139547
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 12,698,868
Proper Divisor Sum 7,675,176
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5023679 ← → #5023693

Radix Representation

Decimal 5023692
Binary 10011001010011111001100 (23 bits)
Octal 0o23123714
Hexadecimal 0x4CA7CC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 139,547 279,094 418,641 558,188 837,282 1,255,923 1,674,564 2,511,846 5,023,692

Collatz Trajectory (131 steps to reach 1)

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

5,023,692 2,511,846 1,255,923 3,767,770 1,883,885 5,651,656 2,825,828 1,412,914 706,457 2,119,372 1,059,686 529,843 1,589,530 794,765 2,384,296 1,192,148 596,074 298,037 894,112 447,056 223,528 111,764 55,882 27,941 83,824 41,912 20,956 10,478 5,239 15,718 7,859 23,578 11,789 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890

More profiles

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