1357
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1440
- Proper Divisor Sum (Aliquot Sum)
- 83
- 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
- 1276
- Möbius Function
- 1
- Radical
- 1357
- Omega Function (Ω)
- 2
- 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
- 52
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=41A000603
- Powers of 2 written in base 9.at n=10A001357
- Squares written in base 9.at n=31A002442
- Number of 4-line partitions of n decreasing across rows.at n=16A003292
- Number of 4-connected simplicial polyhedra with n nodes.at n=11A007021
- Coordination sequence T2 for Zeolite Code MEP.at n=22A008158
- Coordination sequence T2 for Zeolite Code MTN.at n=22A008187
- Composite but smallest prime factor >= 17.at n=46A008367
- Coordination sequence T1 for Zeolite Code CON.at n=26A009868
- Numbers k such that sigma(k) = sigma(k+6).at n=13A015866
- Indices of prime Mersenne numbers (A001348).at n=22A016027
- Powers of cube root of 22 rounded up.at n=7A018041
- Concatenate odd numbers.at n=3A019519
- Numbers k such that the continued fraction for sqrt(k) has period 38.at n=6A020377
- a(n) = a(n-1) + c(n-1) for n >= 2, a( ) increasing, given a(1)=6; where c( ) is complement of a( ).at n=46A022938
- Position of 1 + n^3 in A003325.at n=55A024668
- Every suffix prime and no 0 digits in base 8 (written in base 8).at n=47A024783
- Index of 7^n within the sequence of the numbers of the form 6^i*7^j.at n=49A025724
- a(n) = least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 3rd elementary symmetric function.at n=16A027917
- a(n) = n^5 - (65/6)*n^4 + (173/6)*n^3 + (148/3)*n^2 - (862/3)*n + 265.at n=3A028294