Properties of the Number 10616

Ten Thousand Six Hundred Sixteen

Basics

Value: 10615 → 10616 → 10617

Parity: even

Prime: No

Previous Prime: 10613

Next Prime: 10627

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 1327

Divisors: 1, 2, 4, 8, 1327, 2654, 5308, 10616

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10100101111000

Octal: 24570

Duodecimal: 6188

Hexadecimal: 2978

Square: 112699456

Square Root: 103.03397497913006

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

a(n) is the number of n-tosses having a run of 3 or more heads for a fair coin (i.e., probability is a(n)/2ⁿ). A50231

Triangle of numbers obtained from the partition array A134284. A134285

Number of ways to place 3 nonattacking zebras on a 3 X n board. A172221

Numerators of continued fraction convergents to sqrt(449). A41854

Indices k such that 13 plus the k-th triangular number is a perfect square. A154144

Expansion of ∏_{1 <= i₁ <= i₂ <= i₃ <= i₄} (1 + x^{i₁*i₂*i₃*i₄}). A321567

Triangular array read by rows: T(m,n) = number of Yamanouchi words of length m that start with n, m >= 1, n = 1..m. A369588

Triangular array read by rows: T(m,n) = number of Yamanouchi words over the alphabet {1, 2, ..., n} of length m that start with n, m >= 1, n = 1..m. A369589

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²+x²+y²>=n. A211641

Number of permutations of [n] with at least two (possibly overlapping) occurrences of the consecutive step pattern {up}². A230620