2629
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2880
- Proper Divisor Sum (Aliquot Sum)
- 251
- 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
- 2380
- Möbius Function
- 1
- Radical
- 2629
- 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
- 53
- 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 points of norm <= n^2 in square lattice.at n=29A000328
- Smallest number with reciprocal of period length n in decimal (base 10).at n=14A003060
- Atkinson-Negro-Santoro sequence: a(n+1) = 2*a(n) - a(n-floor(n/2+1)).at n=13A005255
- Coordination sequence T1 for Zeolite Code ATO.at n=34A008265
- Number of ordered triples of integers from [ 2,n ] with no global factor.at n=25A015633
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15).at n=36A017846
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=0A020439
- Numbers k such that Fibonacci(k) == 89 (mod k).at n=33A023182
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5,..., 1/(2n-1)} satisfy r < s, then r < k/m < s for some integer k.at n=41A024819
- a(n) = sum of the numbers between the two n's in A026370.at n=26A026373
- a(n) = Sum_{j=0..2*i, i=0..n} A026584(i,j).at n=8A026599
- Expansion of Product_{i>=1} (1 - x^i)^(-1/i); also of exp(Sum_{n>=1} (d(n)*x^n/n)) where d is number of divisors function.at n=6A028342
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=3A031814
- Concatenation of n and n + 3.at n=25A032608
- Coordination sequence T2 for Zeolite Code SBT.at n=41A033613
- Decimal part of cube root of a(n) starts with 8: first term of runs.at n=12A034134
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 4 (mod 5).at n=50A035589
- 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=43A036540
- Positive numbers having the same set of digits in base 5 and base 7.at n=41A037430
- Coordination sequence T16 for Zeolite Code STT.at n=34A038425