2953
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2954
- 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
- 2952
- Möbius Function
- -1
- Radical
- 2953
- 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
- 123
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 425
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=19A001136
- Number of 2-factors in P_4 X P_n.at n=7A003693
- Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.at n=44A006378
- From relations between Siegel theta series.at n=36A006476
- a(n) is the number of compositions of n in which the maximum part size is 5.at n=15A006979
- Coordination sequence T1 for Zeolite Code APD.at n=36A008034
- f-vectors for simplicial complexes of dimension at most 1 (graphs) on at most n-1 vertices.at n=26A011826
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=19A014755
- Numbers k such that the continued fraction for sqrt(k) has period 51.at n=4A020390
- Primes that remain prime through 2 iterations of function f(x) = 8x + 3.at n=30A023261
- Palindromic primes in base 15.at n=31A029982
- Lucky numbers with size of gaps equal to 8 (lower terms).at n=34A031890
- Lucky numbers with size of gaps equal to 10 (upper terms).at n=32A031893
- a(n) = prime(10*n - 5).at n=42A031910
- Upper prime of a difference of 14 between consecutive primes.at n=16A031933
- Primes of form x^2+93*y^2.at n=48A033202
- Primes of form x^2+69*y^2.at n=21A033244
- Primes of the form x^2+74*y^2.at n=20A033248
- Partial sums of primes congruent to 1 mod 6.at n=24A038349
- Sums of 5 distinct powers of 3.at n=38A038467