Properties of the Number 21016

Twenty-One Thousand Sixteen

Basics

Value: 21015 → 21016 → 21017

Parity: even

Prime: No

Previous Prime: 21013

Next Prime: 21017

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 37 × 71

Divisors: 1, 2, 4, 8, 37, 71, 74, 142, 148, 284

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001000011000

Octal: 51030

Duodecimal: 101B4

Hexadecimal: 5218

Square: 441672256

Square Root: 144.96896219536097

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers n such that φ(n)=φ(n+5), with Euler's totient function φ=A000010. A179187

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 6. A183642

T(n,k)=Number of nXk 0..3 arrays with every row having the same least squares slope fit to a straight line, and every column the same least squares slope fit to a straight line, with a single point array taken as having zero slope. A223066

Floor of sums of the non-integer fourth roots of n, as partitioned by the integer roots: floor(∑_{j=n⁴+1..(n+1)⁴-1} j^1/4). A248698

Number of (n+1) X 2 0..3 arrays with every 2·2 subblock summing to 6. A183634

Number of binary words of length n with exactly one occurrence of the subword given by the binary expansion of n. A229905

Those terms of A255571 whose every A080541/A080542-rotation is also a term of A255571. A258001

Number of binary strings of length n with equal numbers of 00001 and 01000 substrings. A164197

Number of (n+1) X 7 0..3 arrays with every 2 X 2 subblock summing to 6. A183639

Triangle of up-down sums of k-th powers: a(n,k)=sum(i^k,i=1..n)+sum((n-i)^k,i=1..n-1), n,k>0. A51672