4251
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6160
- Proper Divisor Sum (Aliquot Sum)
- 1909
- 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
- 2592
- Möbius Function
- -1
- Radical
- 4251
- Omega Function (Ω)
- 3
- 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
- 82
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) is the solution to the postage stamp problem with n denominations and 4 stamps.at n=21A001214
- Numerators of convergents to cube root of 5.at n=8A002358
- Coordination sequence T5 for Zeolite Code AET.at n=45A008011
- Coordination sequence T2 for Zeolite Code FER.at n=40A008107
- Crystal ball sequence for A_5 lattice.at n=4A008386
- a(n) = floor(n*(n-1)*(n-2)/7).at n=32A011889
- a(n) = floor( n*(n-1)*(n-2)/26 ).at n=49A011908
- Number of 9's in all partitions of n.at n=36A024793
- Least term in period of continued fraction for sqrt(n) is 5.at n=20A031429
- Lucky numbers with size of gaps equal to 14 (upper terms).at n=17A031897
- Concatenation of n and n + 9 or {n,n+9}.at n=41A032614
- Lucky numbers that are concatenations of n with n + 9.at n=6A032659
- In A015922, not in A033553.at n=13A033554
- Concatenations C1 and C2 are both prime (see the comment lines).at n=45A034815
- Distinct numbers in writing first numerator and then denominator of each element of the 1/5-Pascal triangle (by row).at n=51A046608
- First numerator and then denominator of the elements to the right of the central elements of the 1/5-Pascal triangle (by row), excluding 1's and 5's.at n=45A046616
- Numerators of the elements to the right of the central elements of the 1/5-Pascal triangle (by row).at n=59A046618
- Distinct odd numbers in the numerators of the 1/5-Pascal triangle (by row).at n=26A046624
- Distinct numbers in writing first numerator and then denominator of each element to the right of the central elements of the 1/5-Pascal triangle (by row).at n=47A046627
- Distinct odd numbers in writing first numerator and then denominator of each element to the right of the central elements of the 1/5-Pascal triangle (by row).at n=27A046628