7464
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18720
- Proper Divisor Sum (Aliquot Sum)
- 11256
- 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
- 2480
- Möbius Function
- 0
- Radical
- 1866
- 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
- 88
- 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 integers <= 2^n of form x^2 - 2y^2.at n=15A000047
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=41A017843
- Fibonacci sequence beginning 2, 11.at n=15A022115
- Katadromes: digits in base 6 are in strict descending order.at n=60A023788
- Number of partitions satisfying cn(1,5) <= cn(0,5) and cn(4,5) <= cn(0,5).at n=41A039862
- Number of factorable (see A057765 for definition) subsets of a 2 X n uniform grid.at n=8A057818
- Sum of composite numbers less than n-th prime.at n=32A079725
- Third column of A071223.at n=12A087645
- Structured hexagonal diamond numbers (vertex structure 5).at n=17A100178
- Total number of parts that appear exactly once in the partitions of n into odd parts.at n=50A116665
- Partial sums of ceiling(n^2/2) (A000982).at n=35A131941
- Number of partitions of n into parts that are odd or == +- 4 mod 10.at n=42A134157
- a(1)=1, a(n)=a(n-1)+n if n odd, a(n)=a(n-1)+ n^2 if n is even.at n=34A140113
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 0, 1), (1, 0, -1), (1, 1, 0)}.at n=7A150470
- Wiener index of the Moebius ladder M(n).at n=23A180857
- Erroneous version of A188900.at n=11A189075
- Number of partitions of n into lower Wythoff numbers (A000201).at n=48A192184
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208930; see the Formula section.at n=41A208930
- Number of (w,x,y,z) with all terms in {0,...,n}, w even, x even, and w+x=y+z.at n=34A212767
- Number of overcompositions of n minus the number of overpartitions of n.at n=11A237045