6246
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13572
- Proper Divisor Sum (Aliquot Sum)
- 7326
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2076
- Möbius Function
- 0
- Radical
- 2082
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 62
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Powers of fourth root of 24 rounded to nearest integer.at n=11A018115
- Powers of fourth root of 24 rounded up.at n=11A018116
- Least k>1 such that first n terms of Kolakoski sequence A000002 repeat in reverse order beginning at k-th term.at n=35A022295
- n written in fractional base 10/6.at n=46A024661
- a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2.at n=38A027575
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 78.at n=12A031576
- Sort then Add, a(1) =9.at n=11A033896
- Sort then Add, a(1)=27.at n=9A033903
- Truncated triangular pyramid numbers: a(n) = (n-7)*(n^2 + 10*n - 108)/6, n >= 8.at n=26A051941
- G.f.: (1 + Sum_{ i >= 0 } 2^i*x^(2^(i+1)-1)) / (1-x)^3.at n=35A063916
- Least k such that k*10^n +/- 1 are twin primes.at n=48A064218
- Numbers beginning and ending with their multiplicative digital root.at n=35A064704
- Decimal concatenations of the quadruples (d1,d2,d3,d4) with elements in {2,4,6} for which there exists a prime p >= 5 such that the differences between the 5 consecutive primes starting with p are (d1,d2,d3,d4).at n=14A078868
- Number of compositions of n into 4 parts such that no two adjacent parts are equal.at n=31A106353
- Number of partitions of n in which each part, with the possible exception of the largest, occurs at least twice.at n=40A116931
- Number of base 22 n-digit numbers with adjacent digits differing by three or less.at n=4A126490
- a(0) = 1; a(n+1) = Sum_{k=0..n} a(n-k)*a(floor(k/2)).at n=13A127680
- The maximal coefficient of (1+x)*(1+x^4)*(1+x^9)*...*(1+x^(n^2)).at n=23A160235
- Base-10 encoding of the Spanish name of n with one digit per letter as on a touch-tone telephone.at n=8A165948
- Hypercomma numbers: n occurs in the sequence S[k+1]=S[k]+10*last_digit(S[k-1])+first_digit(S[k]) for each "legal" splitting n=concat(S[0],S[1]).at n=28A166508