4988
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9240
- Proper Divisor Sum (Aliquot Sum)
- 4252
- 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
- 2352
- Möbius Function
- 0
- Radical
- 2494
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 134
- 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
- Numerators of convergents to cube root of 5.at n=9A002358
- Smallest multiple of n whose digits sum to n.at n=29A002998
- Four times pentagonal numbers: a(n) = 2*n*(3*n-1).at n=29A033579
- a(n) = least integer m such that the part after the decimal point of the n-th root of m starts with the digit 5.at n=19A034082
- McKay-Thompson series of class 14c for Monster.at n=12A058507
- Integer part of log(n!)^log(n).at n=13A062421
- a(n) = binomial(2*n,n) mod ((n+1)*(n+2)).at n=84A065344
- Smallest proper multiple of n with digit sum n.at n=28A069035
- Rounded total surface area of a regular icosahedron with edge length n.at n=24A071398
- Smallest of four consecutive integers divisible by four consecutive primes respectively.at n=29A072555
- a(1) = 1, a(n+1) is the smallest number such that there are n primes between a(n) and a(n+1) exclusive.at n=36A075342
- a(n) = smallest multiple of 4 with sum of digits = n.at n=28A077489
- Smallest multiple of n with two or more digits, none of them zeros, whose digit sum equals n, or 0 if no such multiple exists.at n=28A077754
- a(n) = (prime(n)-1)*(prime(n)+1)/6.at n=37A084922
- Group the natural numbers such that the n-th group sum is divisible by prime(n): (1, 2, 3), (4, 5), (6, 7, 8, 9), (10, 11), (12, 13, 14, 15, 16, 17, 18, 19, 20, 21), ... Sequence contains the sum of the terms in the n-th group.at n=13A086491
- Edge length of largest square dissectable into up to n squares in Mrs. Perkins's quilt problem.at n=31A089047
- Number of partitions of n with even number (or 0) 2's.at n=32A092295
- Row sums of triangle A113647.at n=5A115136
- a(n) integers with digit sum a(n); a(n+1) is the smallest integer > a(n).at n=22A136317
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 0, 1), (0, 0, -1), (1, 1, 0)}.at n=8A149128