14998
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 22500
- Proper Divisor Sum (Aliquot Sum)
- 7502
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7498
- Möbius Function
- 1
- Radical
- 14998
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 89
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 82 ones.at n=11A031850
- Number of points in N^4 of norm <= n.at n=14A055403
- Expansion of (1-x)^2/((1-x)^3 - 3*x^3).at n=12A097122
- Triangle read by rows: T(n,k) is the number of nondecreasing Dyck paths of semilength n and having k double rises at an odd level (n >= 1, k >= 0).at n=57A121529
- Composite numbers, not ending with 0, sharing a 3-digit sequence with some of its prime factors.at n=13A131523
- Egyptian fraction representation for the cube root of 3.at n=3A132480
- Expansion of 1/(1 - x^2 - x^7 - x^12 + x^14) (a Salem polynomial).at n=59A143619
- Number of 1X5 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 1 zero-sum 5-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=20A192692
- Column 6 of A060244.at n=22A291596
- Number of equivalence classes of Dyck paths of semilength n for the consecutive pattern UDUDD, where U=(1,1) and D=(1,-1).at n=19A317639
- Numbers that are the sum of seven fifth powers in two or more ways.at n=19A345605
- Numbers that are the sum of seven fifth powers in exactly two ways.at n=19A346279
- Lexicographically earliest sequence of distinct positive terms such that the rightmost digit of a(n) concatenated with the leftmost digit of a(n+1) form an integer that is the sum of the digits of a(n) and a(n+1).at n=21A347353
- a(n) = Sum_{k=1..n} abs(A375383(n, k)).at n=13A375382
- Index of first occurrence of n in A000319, or -1 if n never appears there.at n=17A381230