4912
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
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 9548
- Proper Divisor Sum (Aliquot Sum)
- 4636
- 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
- 2448
- Möbius Function
- 0
- Radical
- 614
- 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
- 41
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = Sum_{m=1..n} Sum_{k=1..m} prime(k).at n=20A014148
- Pseudoprimes to base 17.at n=20A020145
- Expansion of Product_{m>=1} (1+q^m)^(-4).at n=22A022599
- Sort then Add, a(1)=29.at n=9A033904
- Gaps of 7 in sequence A038593 (upper terms).at n=19A038654
- Gaps of 9 in sequence A038593 (lower terms).at n=7A038657
- Multiples of 8 that are the difference of two positive cubes.at n=43A038850
- Numbers ending with '2' that are the difference of two positive cubes.at n=16A038857
- Numbers whose base-4 representation contains exactly four 0's and two 3's.at n=13A045083
- a(n) = Sum_{i=1..n} T(i,n-i), where T is A049615.at n=39A049616
- a(n) = smallest nonnegative integer not the Nim sum of at most 4 earlier terms.at n=44A054016
- Consider all integer triples (i,j,k), j,k>0, with i^3=j^3+binomial(k+2,3), ordered by increasing i; sequence gives k values.at n=12A054236
- Numbers k such that k^16 == 1 (mod 17^3).at n=15A056088
- Jordan function J_3(n).at n=16A059376
- Expansion of series related to Liouville's Last Theorem: g.f. Sum_{t>0} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^3 *Product_{i=1..t} (1-x^i) ).at n=35A059820
- a(n) = n^3 - 1.at n=16A068601
- Numbers k such that (k+1)*phi(k) is a perfect square.at n=14A069952
- n for which floor((3/2)^n) is prime.at n=22A070759
- Positions of check bits in code in A075934.at n=31A075936
- Sum of numbers in n-th upward diagonal of triangle in A079823.at n=31A079824