1053
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 1694
- Proper Divisor Sum (Aliquot Sum)
- 641
- 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
- 648
- Möbius Function
- 0
- Radical
- 39
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 80
- 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
- no
- Odd
- yes
Appears in sequences
- Iccanobif numbers: reverse digits of two previous terms and add.at n=12A001129
- Number of incidence matrices: n X (n+1) binary matrices under row and column permutations.at n=4A002725
- Numbers that are the sum of 10 positive 6th powers.at n=16A003366
- Number of 4 X n binary matrices up to row and column permutations.at n=5A006148
- Number of subwords of length n in infinite word generated by a -> aab, b -> b.at n=49A006697
- Generated by a sieve: keep first number, drop every 2nd, keep first, drop every 3rd, keep first, drop every 4th, etc.at n=56A007952
- Coordination sequence T3 for Zeolite Code BOG.at n=23A008051
- Molien series for 4-dimensional complex reflection group of order 7680 (in powers of x^4).at n=52A008669
- Coordination sequence T2 for Zeolite Code RSN.at n=21A009886
- sec(tan(tan(x)))=1+1/2!*x^2+21/4!*x^4+1053/6!*x^6+96905/8!*x^8...at n=3A012153
- a(n) = n^2 + 3*n - 1.at n=31A014209
- Numbers k that divide s(k), where s(1)=1, s(j)=13*s(j-1)+j.at n=14A014861
- Integers k such that k divides 22^k - 1.at n=23A014959
- a(n) = (2*n - 5)n^2.at n=9A015240
- Odd numbers k such that d(k) does not divide phi(k).at n=28A015734
- (n-2)-th Catalan number is congruent to 2n/3 mod n.at n=42A019468
- Denominator of n*(n-3)*(3*n^2 - 6*n + 2)/(3*(n-1)*(n-2)).at n=25A023418
- Convolution of Lucas numbers and A023533.at n=13A023623
- Numbers k such that (#1's in s(1),...,s(k)) = -1 + (#1's in r(1),...,r(k)), where s = A025142 and r = A025143.at n=24A025145
- Number of partitions of n into distinct parts >= 7.at n=69A025152