14004
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 35490
- Proper Divisor Sum (Aliquot Sum)
- 21486
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4656
- Möbius Function
- 0
- Radical
- 2334
- Omega Function (Ω)
- 5
- 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
- 32
- 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
- Sum of Fibonacci (A000045) and Pell (A000129) numbers.at n=12A001932
- Numbers whose base-7 representation contains exactly four 5's.at n=24A043416
- Binomial transform of (1,0,1,0,1,0,1,1,1,1,1,...).at n=14A084637
- Numbers k for which digitsum(k) + digitsum(k^2) + digitsum(k^3) = digitsum(k^4).at n=32A118470
- Numbers whose square can be expressed as a+b*c, with a,b,c in geometric sequence.at n=11A130733
- Numbers k such that k^3 +-7 are primes.at n=39A176685
- Number of permutations of length n containing exactly 1 occurrence of 12345 and 1 occurrence of 12354.at n=9A224297
- a(n) = A027306(n) + A027306(n-1) for n > 0; a(0) = 1.at n=14A248574
- Number of (n+2) X (2+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 or 01010101.at n=11A259736
- Numbers k such that (16*10^k - 91)/3 is prime.at n=22A274336
- P-positions for the subtraction game whose allowed moves are the practical numbers (A005153).at n=34A275432
- Expansion of r(q^3) / r(q)^3 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=41A285583
- Numbers k such that Bernoulli number B_{k} has denominator 1919190.at n=8A295595
- Sum of all the parts in the partitions of n into 8 squarefree parts.at n=36A326444
- Fill an infinite square array by following a spiral around the origin; in the central cell enter a(0)=1; thereafter, in the n-th cell, enter the sum of the entries of those earlier cells that are in the same row or column as that cell.at n=21A334741
- Number of integer partitions of n that are neither Look-and-Say nor section-sum.at n=36A383510