1153
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1154
- 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
- 1152
- Möbius Function
- -1
- Radical
- 1153
- 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
- 150
- 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
- 191
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are not the sum of 4 tetrahedral numbers.at n=49A000797
- 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=26A000922
- Primes with 5 as smallest primitive root.at n=29A001124
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=9A001134
- Number of pairs of consecutive integers x, x+1 such that all prime factors of both x and x+1 are at most the n-th prime.at n=13A002071
- Primes of the form 2^q*3^r*5^s + 1.at n=34A002200
- Numbers that are the sum of 4 nonzero 4th powers.at n=51A003338
- Numbers that are the sum of 6 positive 5th powers.at n=29A003351
- Numbers that are the sum of 10 positive 7th powers.at n=9A003377
- Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.at n=18A005109
- Primes p such that (p+1)/2 is prime.at n=22A005383
- Prime-indexed primes: primes with prime subscripts.at n=42A006450
- Greater of twin primes.at n=40A006512
- Emirps (primes whose reversal is a different prime).at n=47A006567
- Primes with both 10 and -10 as primitive root.at n=35A007349
- Primes of form 8n+1, that is, primes congruent to 1 mod 8.at n=42A007519
- Reve's puzzle: number of moves needed to solve the Towers of Hanoi puzzle with 4 pegs and n disks, according to the Frame-Stewart algorithm.at n=31A007664
- Primes p == 1 (mod 8), p = a^2 + 64*b^2 such that y^2 = x^3 + p*x has rank 2.at n=14A007766
- Number of lattice points inside circle of radius n is 4(a(n)+n)-3.at n=38A007882
- Coordination sequence T3 for Zeolite Code EMT.at n=28A008088