13998
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 28008
- Proper Divisor Sum (Aliquot Sum)
- 14010
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4664
- Möbius Function
- -1
- Radical
- 13998
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 133
- 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
- The 5x + 1 sequence beginning at 7.at n=29A028389
- Decimal part of cube root of a(n) starts with 1: first term of runs.at n=22A034127
- Numbers whose base-7 representation contains exactly four 5's.at n=19A043416
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,17.at n=5A064245
- Lengths of intervals between special points in Recamán's sequence A005132.at n=16A065053
- a(n) = floor[geometric mean of first n factorials].at n=12A090901
- Average of twin-prime pairs for pairs that are expressible as the sum of two triangular numbers.at n=27A117313
- Admirable numbers in the middle of twin primes.at n=37A135502
- Averages of twin prime pairs that are sums of 4 consecutive averages of twin prime pairs.at n=17A160918
- Numbers that are divisible by exactly 3 primes (counted with multiplicity) and sandwiched between primes.at n=36A171179
- Numbers k such that 9k+4 are terms in A072841.at n=34A175518
- Trajectory of 7 under repeated application of the map in A185452.at n=17A185455
- Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 1: bits 0-6 refer to segments from top to bottom, left to right.at n=34A234691
- Number of tilings of a 10 X n rectangle using 2n pentominoes of shape P.at n=8A247119
- 5x + 1 sequence beginning at 11.at n=33A259193
- Squarefree numbers n such that n^2 + 1 and n^2 - 1 are semiprime.at n=21A268697
- Number of length n inversion sequences avoiding the patterns 100, 210, 201, and 102.at n=9A279560
- a(n) is the largest m such that there exists N such that none of S(N), S(N+1), ..., S(N+m-1) is divisible by n, where S(N) is the sum of digits of N.at n=33A331786
- Main diagonal of A365991: the n-th term in the trajectory of n under the A185452 map.at n=21A368301
- a(n) = sum for all integer partitions of n of the number of distinct multiplicities in each partition.at n=29A373271