1051
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
- 2
- Divisor Sum
- 1052
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 1050
- Möbius Function
- -1
- Radical
- 1051
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 93
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 177
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p of the form 3k+1 such that -sqrt(p) < sum_{x=1..p} cos(2*Pi*x^3/p) < sqrt(p).at n=24A000922
- Primes with 7 as smallest primitive root.at n=10A001126
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=15A001133
- Primes p with a Fibonacci primitive root g, i.e., such that g^2 = g + 1 (mod p).at n=48A003147
- Numbers that are the sum of 8 positive 6th powers.at n=14A003364
- From a nim-like game.at n=25A003413
- Primes of the form 2^a + 3^b.at n=33A004051
- Expansion of (1-x)/((1+x)*(1-2*x)*(1-3*x)).at n=6A004054
- Numbers divisible only by primes congruent to 1 mod 7.at n=31A004619
- Spiral sieve using Fibonacci numbers.at n=14A005621
- Centered pentagonal numbers: (5n^2+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net.at n=20A005891
- Greater of twin primes.at n=37A006512
- Number of planted trees: all sub-rooted trees from any node are identical; non-root, non-leaf nodes an even distance from the root are of degree 2.at n=57A007439
- Primes of form x^3 + y^3 + z^3 where x,y,z > 0.at n=31A007490
- Primes == 3 (mod 8).at n=45A007520
- Coordination sequence T3 for Zeolite Code LAU.at n=23A008126
- Least m such that the continued fraction for sqrt(m) has period n.at n=50A013646
- Primes of the form x^2 + 27y^2.at n=25A014752
- Numbers k=3*m+1 such that 2^m == 1 (mod k).at n=26A016108
- Powers of cube root of 3 rounded down.at n=19A017982