Properties of the Number 154

One Hundred Fifty-Four

Basics

Value: 153 → 154 → 155

Parity: even

Prime: No

Previous Prime: 151

Next Prime: 157

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 11

Divisors: 1, 2, 7, 11, 14, 22, 77, 154

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010

Octal: 232

Duodecimal: 10A

Hexadecimal: 9a

Square: 23716

Square Root: 12.409673645990857

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

Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts. A124

The squarefree numbers ordered lexicographically by their prime factorization (with factors written in decreasing order). a(n) = ∏_{k in I} prime(k+1), where I is the set of indices of nonzero binary digits in n = ∑_{k in I} 2^k. A19565

Numbers that are the product of exactly three (not necessarily distinct) primes. A14612

a(n) = 3·n + 1. A16777

Upper Wythoff sequence (a Beatty sequence): a(n) = floor(n*φ²), where φ = (1+sqrt(5))/2. A1950

Positive integers congruent to 2 (mod 4): a(n) = 4·n+2, for n >= 0. A16825

The Collatz or 3x+1 map: a(n) = n/2 if n is even, 3n + 1 if n is odd. A6370

Sphenic numbers: products of 3 distinct primes. A7304

a(n) is the number of partitions of n into at most 3 parts; also partitions of n+3 in which the greatest part is 3; also number of unlabeled multigraphs with 3 nodes and n edges. A1399

Number of overpartitions of n: an overpartition of n is an ordered sequence of nonincreasing integers that sum to n, where the first occurrence of each integer may be overlined. A15128

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