4151
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4752
- Proper Divisor Sum (Aliquot Sum)
- 601
- 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
- 3552
- Möbius Function
- 1
- Radical
- 4151
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 95
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Maximal number of pairwise relatively prime polynomials of degree n over GF(2).at n=16A001115
- Numbers that are the sum of 4 positive 5th powers.at n=45A003349
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=48A011907
- Perfect Digital Invariants: numbers that are the sum of some fixed power of their digits.at n=16A023052
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 63.at n=16A031561
- Number of partitions satisfying (cn(2,5) = cn(3,5) = 0 and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=53A036823
- a(1) = 4; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=35A046254
- Revert transform of 2*x*(1 - x - x^3 + x^6)-x/(1+x).at n=7A049183
- Number of nonaveraging subsets on {1,2,...,n}.at n=16A051013
- Rhombi (in 3 different orientations) in a rhombus with 60-degree acute angles.at n=20A052153
- Fixed points for operation of repeatedly replacing a number with the sum of the fifth power of its digits.at n=3A052464
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 61 ).at n=27A063334
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 5.at n=34A064903
- 5th-order digital invariants: the sum of the 5th powers of the digits of n equals some number k and the sum of the 5th powers of the digits of k equals n.at n=2A072896
- a(1) = 1; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=40A074336
- Partition the concatenation 1234567...of natural numbers into successive strings which are multiples of 7, all different and > 7 (0 is never taken as the most significant digit).at n=2A077300
- Number of partitions of n into numbers having in binary representation at most trailing zeros.at n=34A087750
- An "L" digit is a digit "looking to the Left" (1,2,3,7,9); an "R" digit is a digit "looking to the Right" (4,5,6); an "U" digit is a digit "looking at Us" (0,8). This is the slowest increasing sequence showing the infinite pattern [LR] (when read digit-by-digit).at n=25A093102
- Numbers k such that 6^k - 5^(k-1) is prime.at n=27A093713
- Number of up/down (or down/up) compositions of n into distinct parts.at n=30A129838