Properties of the Number 14801

Fourteen Thousand Eight Hundred One

Basics

Value: 14800 → 14801 → 14802

Parity: odd

Prime: No

Previous Prime: 14797

Next Prime: 14813

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 19 ² × 41

Divisors: 1, 19, 41, 361, 779, 14801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100111010001

Octal: 34721

Duodecimal: 8695

Hexadecimal: 39d1

Square: 219069601

Square Root: 121.65936051122412

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

Number of integer partitions of n whose product of parts is >= n. A319005

23-gonal numbers: a(n) = n(21n-19)/2. A51875

Numbers k such that (2^k + k + 1)*2^k + 1 is prime. A201356

Number of positive integers <= 10ⁿ that are divisible by no prime exceeding 5. A106598

Partial sums of A224613. A365446

Consider coefficients U(m,l,k) defined by the identity ∑_k=1..l ∑_j=0..m A302971(m,j)/A304042(m,j) * k^j * (T-k)^j = ∑_k=0..m (-1)^m-k * U(m,l,k) * T^k that holds for all positive integers l,m,T. This sequence gives 2-column table read by rows, where n-th row lists coefficients U(1,n,k) for k = 0, 1 and n >= 1. A320047

Truncated triangular pyramid numbers: a(n) = ∑_k=4..n (k*(k+1)/2 - 9). A51937

a(n) = 400·n + 1. A158313

a(n) = 2·n³ + 3·n². A275709

Main diagonal of A332374. A332375