4672
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
- 4
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 9398
- Proper Divisor Sum (Aliquot Sum)
- 4726
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2304
- Möbius Function
- 0
- Radical
- 146
- Omega Function (Ω)
- 7
- 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
- 121
- 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
- Number of partitions of floor(7n/2) into n nonnegative integers each no more than 7.at n=15A001979
- Primitive pseudoperfect numbers.at n=64A006036
- Coordination sequence T4 for Zeolite Code MTW.at n=45A008199
- Coordination sequence for 4-dimensional cubic lattice (points on surface of 4-dimensional cross-polytope).at n=12A008412
- Coordination sequence T4 for Zeolite Code TER.at n=46A016436
- Powers of fourth root of 5 rounded down.at n=21A018057
- Coordination sequence for C_4 lattice.at n=6A019560
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=21A020443
- Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 25 (most significant digit on right and removing all least significant zeros before concatenation).at n=9A029542
- Numbers with 14 divisors.at n=21A030632
- Numbers whose set of base-6 digits is {3,4}.at n=33A032830
- Sums of distinct powers of 8.at n=28A033045
- Number of points of L1 norm 12 in cubic lattice Z^n.at n=4A035606
- Positive numbers having the same set of digits in base 2 and base 8.at n=24A037413
- Sums of 3 distinct powers of 8.at n=9A038485
- Numerators of continued fraction convergents to sqrt(78).at n=6A041138
- Let p1, p2 be first pair of consecutive primes with difference 2n; let p3, p4 be 2nd such pair; sequence gives "wadi" value p3-p1.at n=26A046728
- Number of partitions of n in SPM(n): these are the partitions obtained from (n) by iteration of the following transformation: p -> p' if p' is a partition (i.e., decreasing) and p' is obtained from p by removing a unit from the i-th component of p and adding one to the (i+1)-th component, for any i.at n=39A056219
- Integers n > 196 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 196.at n=37A063049
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=18A063358