14640
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 46128
- Proper Divisor Sum (Aliquot Sum)
- 31488
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 1830
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- 133
- 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
- Fibonacci sequence beginning 0, 24.at n=15A022358
- a(n) = 11^n-1.at n=4A024127
- Weight distribution of [ 48,17,12 ] dual Rao-Reddy code.at n=10A031136
- Weight distribution of [ 48,17,12 ] dual Rao-Reddy code.at n=14A031136
- a(n) in base 11 is a repdigit.at n=40A048335
- a(n) = Sum_{d|n, n/d=1 mod 4} d^4 - Sum_{d|n, n/d=3 mod 4} d^4.at n=10A050468
- Sequence is defined by property that (a0,a1,a2,a3,...) = binomial transform of (a0,a0,a0,a1,a1,a1,a2,a2,a2,a3,a3,a3,...).at n=12A051164
- Numbers k such that k^10 == 1 (mod 11^4).at n=9A056094
- McKay-Thompson series of class 34A for Monster.at n=41A058638
- Jordan function J_4(n).at n=10A059377
- Triangle T(n,k) = coefficient of x^n*y^k/(n!*k!) in 1/(1-x-y-x*y), read by rows in order 00, 10, 01, 20, 11, 02, ...at n=30A059446
- Triangle T(n,k) = coefficient of x^n*y^k/(n!*k!) in 1/(1-x-y-x*y), read by rows in order 00, 10, 01, 20, 11, 02, ...at n=33A059446
- Number of conjugacy classes in the group GL_2(K) when K is a finite field with q = p^m for a prime p and m >= 1.at n=40A060615
- a(n) = n*(n+1)*(n^2 + n + 4)/4.at n=15A061316
- Positive numbers which are one less than a perfect square that is also another power.at n=12A062965
- Triangle read by rows: T(n,k) (n >= 2, 1<=k<=n-1) is the number of permutations p of 1,...,n with max(|p(i)-p(i-1)|, i=2..n) = k.at n=26A064482
- Engel expansion of sinh(1/2).at n=30A068379
- Lesser of two consecutive numbers each divisible by a fourth power.at n=28A068782
- Differences between two successive prime powers of prime numbers (A076707) in more than one way.at n=38A077257
- Differences between two successive powers of a prime but not a prime (A025475) in more than one way.at n=39A077274