7408
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 14384
- Proper Divisor Sum (Aliquot Sum)
- 6976
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3696
- Möbius Function
- 0
- Radical
- 926
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 132
- 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 points on surface of truncated tetrahedron: a(n) = 14*n^2 + 2 for n > 0, a(0)=1.at n=23A005905
- McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B).at n=39A007258
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=38A020403
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=45A026042
- Numbers whose set of base-9 digits is {1,4}.at n=32A032821
- Sums of 6 distinct powers of 3.at n=37A038468
- Number of primes between n*100000 and (n+1)*100000.at n=7A038825
- Numbers having four 1's in base 9.at n=14A043460
- Numbers whose base-4 representation contains exactly three 0's and three 3's.at n=25A045079
- McKay-Thompson series of class 6E for the Monster group with a(0) = 1.at n=39A045488
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 3.at n=12A049959
- McKay-Thompson series of class 30E for Monster.at n=31A058616
- Numbers k such that k concatenated with k-1 0's and its reversal is prime.at n=5A070955
- a(n) = A080313(n)/2.at n=5A080315
- McKay-Thompson series of class 6E for the Monster group with a(0) = 3.at n=39A105559
- Row sums of triangle A116880 (generalized Catalan C(1,2)).at n=5A116881
- McKay-Thompson series of class 6E for the Monster group with a(0) = -5.at n=39A128632
- McKay-Thompson series of class 6E for the Monster group with a(0) = 4.at n=39A128633
- 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, 0), (0, 0, -1), (0, 0, 1), (0, 1, 1), (1, 1, -1)}.at n=7A150674
- Number of binary strings of length n with no substrings equal to 0000 0001 or 0101.at n=12A164410