4120
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 5240
- 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
- 1632
- Möbius Function
- 0
- Radical
- 1030
- 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
- 126
- 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
- Coordination sequence T1 for Zeolite Code ATV.at n=41A008043
- Coordination sequence T2 for Zeolite Code ATV.at n=41A008044
- Coordination sequence T3 for Zeolite Code MFI.at n=41A008166
- Coordination sequence T2 for Zeolite Code NAT.at n=43A008204
- Coordination sequence T1 for feldspar.at n=43A008254
- Coordination sequence T2 for feldspar.at n=43A008255
- Coordination sequence T1 for Moganite.at n=41A008258
- sec(arcsinh(x)+arcsin(x))=1+4/2!*x^2+80/4!*x^4+4120/6!*x^6...at n=3A013090
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=44A017854
- n written in fractional base 7/4.at n=28A024641
- Coordination sequence T2 for Zeolite Code MWW.at n=43A024987
- a(n) = d(n)/2, where d = A026040.at n=26A026041
- Numbers whose base-4 representation has 4 more 0's than 3's.at n=32A031465
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+7 or 24k-7. Also number of partitions in which no odd part is repeated, with at most 3 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=41A036032
- Positive numbers having the same set of digits in base 5 and base 10.at n=30A037433
- Number of identity trees with 2-colored nodes.at n=9A038078
- Numbers having three 0's in base 8.at n=16A043423
- Numbers whose base-16 representation has exactly 4 runs.at n=7A043677
- Numbers whose base-4 representation contains exactly four 0's and two 1's.at n=11A045035
- Numbers whose base-4 representation contains exactly four 0's and one 2.at n=26A045058