4152
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
- 16
- Divisor Sum
- 10440
- Proper Divisor Sum (Aliquot Sum)
- 6288
- 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
- 1376
- Möbius Function
- 0
- Radical
- 1038
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 64
- 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 Hamiltonian cycles in O_5 X P_n.at n=2A003743
- Largest number not the sum of distinct n-th-order polygonal numbers.at n=19A007419
- Coordination sequence T3 for Zeolite Code MEI.at n=47A008148
- Coordination sequence T3 for Zeolite Code MFS.at n=40A008175
- If a, b in sequence, so is ab+8.at n=22A009331
- Coordination sequence for net formed by holes in D_4 lattice.at n=7A010079
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/28 ).at n=20A011938
- Expansion of e.g.f. tan(arcsin(arcsin(x))).at n=3A012065
- Expansion of e.g.f.: exp(arctanh(arcsin(x)))=1+x+1/2!*x^2+4/3!*x^3+13/4!*x^4+84/5!*x^5...at n=7A012258
- Sum of gcd(x, y) for 1 <= x, y <= n.at n=39A018806
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black.at n=29A032279
- Denominators of continued fraction convergents to sqrt(587).at n=10A042125
- a(n)=(s(n)+6)/10, where s(n)=n-th base 10 palindrome that starts with 4.at n=37A043083
- Numbers having three 0's in base 8.at n=20A043423
- Numbers whose base-4 representation contains exactly four 0's and one 1.at n=31A045034
- Numbers whose base-4 representation contains exactly four 0's and one 2.at n=32A045058
- Numbers whose base-4 representation contains exactly four 0's and one 3.at n=32A045082
- Numbers k such that 285*2^k-1 is prime.at n=28A050901
- Numbers k such that phi(x) = k has exactly 12 solutions.at n=13A060675
- Nonprimes k such that k divides prime(k)^2 - 1.at n=46A064938