4480
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 12240
- Proper Divisor Sum (Aliquot Sum)
- 7760
- 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
- 1536
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 9
- 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
- 20
- 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 ways of writing n as a sum of 16 squares.at n=3A000152
- Numbers that are the sum of 7 positive 6th powers.at n=41A003363
- Apéry numbers: n^3*C(2n,n).at n=4A005429
- An upper bound on the biplanar crossing number of the complete graph on n nodes.at n=34A007333
- sec(arctanh(x)+arctan(x))=1+4/2!*x^2+80/4!*x^4+4480/6!*x^6...at n=3A013180
- Expansion of tan(sinh(x)-sin(x)) = 2/3!*x^3 + 2/7!*x^7 + 4480/9!*x^9 + 2/11!*x^11 + ...at n=4A013371
- arctan(sin(x)-sinh(x)) = -2/3!*x^3 - 2/7!*x^7 + 4480/9!*x^9 - 2/11!*x^11 + ...at n=3A013372
- tan(arcsin(x)-arcsinh(x)) = 2/3!*x^3+450/7!*x^7+4480/9!*x^9...at n=4A013418
- Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k*n; sequence gives the (3,k)-perfect numbers.at n=12A019292
- Let a,b,c,...k be all divisors of n; a(n) = (a+1)*(b+1)*...*(k+1).at n=38A020696
- Theta series of D*_16 lattice.at n=3A022069
- a(n) is least k such that k and 10k are anagrams in base n (written in base 10).at n=4A023102
- Numbers that are the sum of 4 nonzero squares in exactly 4 ways.at n=52A025360
- Probable extension of A013704.at n=14A025495
- a(n) = n + (n+1)^2 + (n+2)^3 + (n+3)^4.at n=5A027621
- Number of perfect matchings in graph C_{6} X P_{n}.at n=5A028477
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 13 (most significant digit on left).at n=18A029482
- Theta series of 6-dimensional lattice of det 8.at n=31A029543
- Theta series of 6-dimensional lattice of det 8.at n=26A029543
- Numerator of n * Product_{d|n} (1 + 1/d).at n=38A029933