1253
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- 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)
- 187
- 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
- 1068
- Möbius Function
- 1
- Radical
- 1253
- 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
- 132
- 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 n-node trees with a forbidden limb of length 6.at n=13A002992
- a(n) is the number of hierarchical linear models on n unlabeled factors allowing 2-way interactions (but no higher order interactions); or the number of unlabeled simple graphs with <= n nodes.at n=7A006897
- Left diagonal of partition triangle A047812.at n=21A007042
- Expansion of e.g.f.: exp(sin(x)*cos(x)).at n=7A009210
- Expansion of e.g.f. sinh(sin(x)*cos(x)), odd powers only.at n=3A009593
- Coordination sequence T6 for Zeolite Code DFO.at n=27A009880
- a(n) = floor( n*(n-1)*(n-2)/14 ).at n=27A011896
- Convolution of A023532 and A000201.at n=43A023602
- Numbers with exactly 3 0's in their base 5 expansion.at n=22A023724
- a(n) = floor((4th elementary symmetric function of S(n))/(3rd elementary symmetric function of S(n))), where S(n) = {first n+3 positive integers congruent to 1 mod 3}.at n=56A024224
- Numbers that are the sum of 3 nonzero squares in exactly 8 ways.at n=41A025328
- Numbers that are the sum of 3 distinct nonzero squares in exactly 8 ways.at n=31A025346
- Golc sequence in base 2. Left to right concatenation of n,int(log_2(n)),int(log_2(int(log_2(n)))),... in base 2.at n=18A028432
- Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 10.at n=46A031413
- Numbers whose base-5 representation has 3 more 0's than 4's.at n=17A031473
- Numbers k such that 155*2^k+1 is prime.at n=14A032454
- a(n) = a(n-1) + a(floor(n/2)), a(1) = 1.at n=34A033485
- Numbers k such that d(i) is a power of 2 for all k <= i <= k+6, where d(i) = number of divisors of i.at n=19A036540
- Schoenheim bound L_1(n,7,6).at n=9A036834
- First differences of A033485; also A033485 with terms repeated.at n=68A040039