7401
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9872
- Proper Divisor Sum (Aliquot Sum)
- 2471
- 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
- 4932
- Möbius Function
- 1
- Radical
- 7401
- Omega Function (Ω)
- 2
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 70
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 17 (most significant digit on left).at n=7A029486
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 56.at n=35A031554
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=32A031810
- Numbers whose set of base-9 digits is {1,3}.at n=33A032916
- Nearest integer to 1/(Sum_{k>=n} 1/k^4).at n=13A083559
- Semiprimes n such that 3*n - 2 is a square.at n=43A112393
- Semiprimes in A056105.at n=20A113519
- a(n) = 200*n + 1.at n=36A157956
- a(n) = 74*n^2 + 1.at n=10A158742
- a(n) = 16*a(n-1)-61*a(n-2) for n > 1; a(0) = 1, a(1) = 9.at n=4A162759
- a(n) = 5*n^2 + 5*n - 9.at n=37A166150
- a(n) = smallest k such that A109671(k)=n, or -1 if n does not appear in A109671.at n=41A169741
- Averages of four consecutive odd squares.at n=41A173960
- Numbers k such that 12*k - 5, 12*k - 1, 12*k + 1, and 12*k + 5 are primes.at n=34A174372
- Sum of prime anti-divisors of n = sum of prime anti-divisors of n+1 with n > 1.at n=2A192283
- Number of partitions of n having population standard deviation >= 2.at n=32A238662
- Number of partitions p of n such that m(p) = m(c(p)), where m = minimal multiplicity of parts, and c = conjugate.at n=31A240731
- a(n) = floor(1/(zeta(4) - Sum_{h=1..n} 1/h^4)).at n=12A248230
- Triangle read by rows: T(n,k) is the number of simple graphs with n unlabeled vertices and burning number k.at n=30A263322
- Expansion of Product_{k>=1} 1/(1 - x^k)^(k*(3*k-1)/2).at n=9A278768