1552
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 3038
- Proper Divisor Sum (Aliquot Sum)
- 1486
- 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
- 768
- Möbius Function
- 0
- Radical
- 194
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- 122
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of partitions of n into prime parts.at n=57A000607
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=47A000969
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^20)).at n=34A001305
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^6)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^60).at n=37A001365
- Squares written in base 7.at n=24A002440
- Numbers that are the sum of 2 positive 4th powers.at n=18A003336
- Sums of distinct nonzero 4th powers.at n=39A003999
- Expansion of 1 / (Sum_{n=-oo..oo} x^(n^2))^3.at n=6A004404
- Numbers that are the sum of at most 2 nonzero 4th powers.at n=25A004831
- Number of distinct autocorrelations of binary words of length n.at n=44A005434
- Second pentagonal numbers: a(n) = n*(3*n + 1)/2.at n=32A005449
- Molien series for A_4.at n=46A008627
- Coordination sequence T3 for Zeolite Code DFO.at n=30A009877
- Coordination sequence T6 for Zeolite Code VNI.at n=24A009912
- Coordination sequence T1 for Zeolite Code VSV.at n=25A009914
- Coordination sequence for MgNi2, Position Mg2.at n=10A009935
- Coordination sequence for MgZn2, Mg position.at n=10A009939
- Sum of (Gaussian) q-binomial coefficients for q=-7.at n=4A015170
- Powers of fifth root of 2 rounded down.at n=53A018117
- a(n) = [ (2nd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+1 positive integers congruent to 2 mod 3}.at n=45A024398