λ
Harmonic Matrix

5,386,364

22 × 1346591
Deficient Even Composite

5,386,364 has digital root 8. The neighboring primes are 5386357 and 5386387; its proper-divisor sum differs from the starting integer by -1,346,584.

Prime Factor Structure

Factorization String 2^2 × 1346591
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,426,144
Proper Divisor Sum 4,039,780
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5386357 ← → #5386387

Radix Representation

Decimal 5386364
Binary 10100100011000001111100 (23 bits)
Octal 0o24430174
Hexadecimal 0x52307C

Divisor Catalog (6)

1 2 4 1,346,591 2,693,182 5,386,364

Collatz Trajectory (139 steps to reach 1)

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

5,386,364 2,693,182 1,346,591 4,039,774 2,019,887 6,059,662 3,029,831 9,089,494 4,544,747 13,634,242 6,817,121 20,451,364 10,225,682 5,112,841 15,338,524 7,669,262 3,834,631 11,503,894 5,751,947 17,255,842 8,627,921 25,883,764 12,941,882 6,470,941 19,412,824 9,706,412 4,853,206 2,426,603 7,279,810 3,639,905 10,919,716 5,459,858 2,729,929 8,189,788 4,094,894 2,047,447 6,142,342 3,071,171 9,213,514 4,606,757 13,820,272 6,910,136 3,455,068 1,727,534 863,767 2,591,302 1,295,651 3,886,954 1,943,477 5,830,432 2,915,216 1,457,608 728,804 364,402 182,201 546,604 273,302 136,651 409,954 204,977

More profiles

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