3169
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3170
- 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
- 3168
- Möbius Function
- -1
- Radical
- 3169
- 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
- 53
- 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
- 449
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 7 as smallest primitive root.at n=30A001126
- Cuban primes: primes which are the difference of two consecutive cubes.at n=17A002407
- Hex (or centered hexagonal) numbers: 3*n*(n+1)+1 (crystal ball sequence for hexagonal lattice).at n=32A003215
- a(n) = floor(1000*log_2(n)).at n=8A004265
- Coordination sequence T1 for Zeolite Code EAB.at n=41A008082
- Coordination sequence T1 for Zeolite Code LTN.at n=39A008140
- Coordination sequence for FeS2-Pyrite, S position.at n=26A009956
- Number of partitions of 2*n into at most 4 parts.at n=36A014126
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=20A014755
- Numbers k such that the continued fraction for sqrt(k) has period 81.at n=0A020420
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=36A023247
- Coordination sequence T7 for Zeolite Code MWW.at n=37A024992
- Numbers whose least quadratic nonresidue (A020649) is 7.at n=45A025023
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=10A031802
- Lower prime of a difference of 12 between consecutive primes.at n=30A031930
- "DHK" (bracelet, identity, unlabeled) transform of 1,0,1,0,... (odd).at n=25A032243
- Primes of form x^2+69*y^2.at n=24A033244
- Number of partitions of n into parts 4k+2 or 4k+3.at n=56A035366
- Gaps of 7 in sequence A038593 (lower terms).at n=15A038653
- Gaps of 10 in sequence A038593 (upper terms).at n=3A038660