1533
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2368
- Proper Divisor Sum (Aliquot Sum)
- 835
- 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
- 864
- Möbius Function
- -1
- Radical
- 1533
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- G.f.: -1 + Product_{k>=1} (1 + prime(k)*x^prime(k)).at n=23A002099
- Divisors of 2^18 - 1.at n=20A003528
- Representation degeneracies for Neveu-Schwarz strings.at n=18A005299
- Coordination sequence T1 for Zeolite Code AFI.at n=27A008014
- Coordination sequence T1 for Zeolite Code CHA.at n=30A008066
- Coordination sequence T6 for Zeolite Code DFO.at n=30A009880
- a(n) = floor(n*(n-1)*(n-2)/9).at n=25A011891
- Integers that are squarefree and also the sum of first k squarefrees for some k.at n=25A013932
- a(n) = n*(7*n - 1)/2.at n=21A022264
- Least k such that the first k terms of the Kolakoski sequence (A000002) contain n more 1's than 2's.at n=10A022327
- Numbers with exactly 9 ones in binary expansion.at n=17A023691
- a(n) = sum of the numbers between the two n's in A026338.at n=41A026341
- T(2n,n-1), T given by A026659.at n=5A026661
- 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 26.at n=11A031524
- Lucky numbers with size of gaps equal to 10 (lower terms).at n=17A031892
- Lucky numbers with size of gaps equal to 14 (upper terms).at n=6A031897
- Lucky numbers ending with digit 3.at n=43A032586
- a(n) = n * prime(n).at n=20A033286
- In A015922, not in A033553.at n=8A033554
- Number of partitions of n with equal number of parts congruent to each of 0 and 3 (mod 4).at n=31A035542