2478
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
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 3282
- 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
- 696
- Möbius Function
- 1
- Radical
- 2478
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 133
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=37A001307
- Bosonic string states.at n=30A005308
- Coordination sequence T2 for Zeolite Code LEV.at n=37A008128
- Coordination sequence T3 for Zeolite Code MOR.at n=32A008184
- Coordination sequence T1 for Zeolite Code MWW.at n=33A024986
- Number of partitions of n in which the least part is 6.at n=67A026799
- Let c be the point at which Gamma(x), x>0, is minimized; sequence gives continued fraction for c.at n=31A030170
- Cube root of A030690.at n=38A030691
- Positions of record values in A030787.at n=46A030792
- Size of lexicographic code of length n, Hamming distance 6 and weight 6.at n=31A031504
- Numbers k such that 63*2^k+1 is prime.at n=34A032381
- Numbers k such that 159*2^k + 1 is prime.at n=22A032456
- a(n) = floor( (Pi/e)^n ).at n=54A032739
- Every run of digits of n in base 13 has length 2.at n=19A033011
- Numbers whose base-13 expansion has no run of digits with length < 2.at n=32A033026
- Numbers with the property that all pairs of consecutive base-3 digits differ by 1.at n=53A033068
- Number of partitions of n into parts not of the form 25k, 25k+8 or 25k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=26A036007
- Coordination sequence T3 for Zeolite Code ESV.at n=33A038412
- Numbers having three 3's in base 9.at n=18A043467
- Numbers whose base-3 representation has exactly 8 runs.at n=6A043588