12544
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 27
- Divisor Sum
- 29127
- Proper Divisor Sum (Aliquot Sum)
- 16583
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5376
- Möbius Function
- 0
- Radical
- 14
- Omega Function (Ω)
- 10
- 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
- yes
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Squares written in base 6.at n=44A001741
- Numbers of form 2^i*7^j, with i, j >= 0.at n=42A003591
- Coefficients of Jacobi cusp form of index 1 and weight 10.at n=28A003784
- Coefficients of Jacobi cusp form of index 1 and weight 10.at n=48A003784
- a(n) = (prime(n) - 1)^2.at n=29A005722
- Squares formed by concatenating other squares, not ending in 0.at n=18A009404
- Coordination sequence for alpha-Mn, Position Mn4.at n=29A009953
- Squares of even heptagonal numbers.at n=3A014792
- a(n) = (3*n+1)^2.at n=37A016778
- a(n) = (4*n)^2.at n=28A016802
- a(n) = (5*n + 2)^2.at n=22A016874
- a(n) = (6*n + 4)^2.at n=18A016958
- a(n) = (7*n)^2.at n=16A016982
- a(n) = (8*n)^2.at n=14A017066
- a(n) = (9*n + 4)^2.at n=12A017210
- a(n) = (10*n + 2)^2.at n=11A017294
- a(n) = (11*n + 2)^2.at n=10A017414
- a(n) = (12*n + 4)^2.at n=9A017570
- Squares which are a decimal concatenation of two or more squares.at n=29A019547
- Positive numbers k such that k and 4*k are anagrams in base 7 (written in base 7).at n=10A023070