4280
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9720
- Proper Divisor Sum (Aliquot Sum)
- 5440
- 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
- 1696
- Möbius Function
- 0
- Radical
- 1070
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 25
- 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
- Number of rooted maps with n edges on torus.at n=3A006300
- Coordination sequence T6 for Zeolite Code CON.at n=46A009873
- Coordination sequence T4 for Zeolite Code TER.at n=44A016436
- Powers of cube root of 6 rounded up.at n=14A017993
- Expansion of 1/((1-4x)(1-8x)(1-10x)).at n=3A019671
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor( n/2 ), s = natural numbers >= 3.at n=31A024875
- Sequence satisfies T^2(a)=a, where T is defined below.at n=39A027593
- Inverse binomial transform of a_0 = 1, a_1, a_2, etc. is a_0, 0, a_1, 0, a_2, 0, etc.at n=11A027826
- Base-9 palindromes that start with 5.at n=18A043032
- Number of primitive (period n) n-bead necklace structures using exactly five different colored beads.at n=9A056306
- Coordination sequence T2 for Zeolite Code MTF.at n=39A057305
- Non-palindromic number and its reversal are both multiples of 8.at n=40A062911
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=18A063366
- In base 2: n sets a new record for the number of 'Reverse and Add' steps needed to reach a palindrome starting with n.at n=11A066144
- Numbers k such that A068976(k) divides k.at n=42A069144
- Sum of first n 4-almost primes.at n=31A086046
- Even numbers n such that 37^2 (the square of the first irregular prime) divides the numerator of Bernoulli(n).at n=7A090789
- Let A denote the sequence; then A is equal to the union of the self-convolutions A^2 and A^4, with terms in ascending order by size, where a(0)=1.at n=22A090847
- Number of partitions of n such that the set of even parts has only one element.at n=36A090867
- Even numbers n such that N(n) is divisible by a nontrivial square, say m^2 with gcd(n,m) = 1, where N(n) is the numerator of the Bernoulli number B(n). The smallest numbers m are given in A094095.at n=7A090943