7404
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17304
- Proper Divisor Sum (Aliquot Sum)
- 9900
- 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
- 2464
- Möbius Function
- 0
- Radical
- 3702
- Omega Function (Ω)
- 4
- 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
- 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 equivalence classes with primitive period n of base 3 necklaces, where necklaces are equivalent under rotation and permutation of symbols.at n=11A002075
- a(n) = floor( n*(n-1)*(n-2)/10 ).at n=43A011892
- a(n) = floor( exp(5/13)*n! ).at n=6A030929
- McKay-Thompson series of class 26A for Monster.at n=27A058596
- McKay-Thompson series of class 36D for the Monster simple group.at n=39A058647
- Number of ways to tile a 4 X n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=49A068923
- Sum of terms in row n of A081539.at n=4A081540
- Numbers n such that n and n+1 both are members of A074997; i.e., on the one hand n-1 and n+1 have the same prime signature, on the other hand n and n+2 have the same prime signature.at n=43A086540
- Partial sums of repdigits of A002280.at n=3A099673
- Numbers k such that 2^k + k^2 + 1 is prime.at n=10A100357
- Indices of primes in sequence defined by A(0) = 79, A(n) = 10*A(n-1) - 31 for n > 0.at n=7A101146
- Number of partitions of n into distinct parts in which the number of parts divides n.at n=59A102627
- Numbers k such that 3*10^k + 5*R_k + 2 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=10A102972
- Numbers k such that 609 * 10^k - 1 is prime.at n=23A108320
- Expansion of b(q^3)b(q^2)^2/(b(q)b(q^6)^2) in powers of q where b(q) is a cubic AGM function.at n=38A122831
- Expansion of chi(-q^3) / chi^3(-q) in powers of q where chi() is a Ramanujan theta function.at n=19A128128
- Expansion of f(q, q^2) * f(-q^3) / f(-q^2)^2 in powers of q where f(, ), f() are Ramanujan theta functions.at n=38A132180
- Expansion of chi(q)^3 / chi(q^3) in powers of q where chi() is a Ramanujan theta function.at n=38A132972
- Expansion of b(q) / b(q^2) in powers of q where b() is a cubic AGM theta function.at n=38A141094
- Where zeros occur in the 1-0 race in the binary expansion of Pi-3; that is, n such that A174832(n) = 0.at n=53A178980