1634
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2640
- Proper Divisor Sum (Aliquot Sum)
- 1006
- 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
- 756
- Möbius Function
- -1
- Radical
- 1634
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Collatz Steps
- 42
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Smallest nonnegative number that is the sum of 3 squares in exactly n ways.at n=16A000437
- Smallest number that is the sum of 3 squares in at least n ways.at n=16A000451
- Numbers k such that k and k+1 have same sum of divisors.at n=5A002961
- Smallest n-th order perfect digital invariant or PDI: smallest number > 1 equal to sum of n-th powers of its digits, or 0 if no such number exists.at n=3A003321
- Sums of distinct nonzero 4th powers.at n=44A003999
- Armstrong (or pluperfect, or Plus Perfect, or narcissistic) numbers: m-digit nonnegative numbers equal to sum of the m-th powers of their digits.at n=14A005188
- Coordination sequence T1 for Zeolite Code APC.at n=28A008032
- Coordination sequence T2 for Zeolite Code LEV.at n=30A008128
- Coordination sequence T1 for Zeolite Code LIO.at n=28A008129
- Coordination sequence T2 for Zeolite Code -CLO.at n=36A009851
- Coordination sequence T5 for Zeolite Code VNI.at n=25A009911
- a(n) = floor( binomial(n,7)/7 ).at n=16A011853
- Smallest n-digit narcissistic (or Armstrong) number: smallest n-digit number equal to sum of n-th powers of its digits (or 0 if no such number exists).at n=3A014576
- a(1)=1, a(n) = n*23^(n-1) + a(n-1).at n=2A014941
- Number of ordered triples of integers from [ 2,n ] with no global factor.at n=21A015633
- a(n) = n*(9*n + 1)/2.at n=19A022267
- Perfect Digital Invariants: numbers that are the sum of some fixed power of their digits.at n=14A023052
- a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways.at n=16A025414
- a(n) = Sum_{k=floor((n+1)/2)..n} T(k,n-k); i.e., a(n) is the n-th diagonal sum of left-justified array T given by A026998.at n=17A027010
- a(n) = n*(n+5).at n=38A028557