Number

18,077

18,077 is a prime, odd.

18,077 (eighteen thousand seventy-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x469D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

18,065 18,066 18,067 18,068 18,069 18,070 18,071 18,072 18,073 18,074 18,075 18,076 18,077 18,078 18,079 18,080 18,081 18,082 18,083 18,084 18,085 18,086 18,087 18,088 18,089

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 15 bits
Reversed: 77,081
Recamán's sequence: a(15,902) = 18,077
Square (n²): 326,777,929
Cube (n³): 5,907,164,622,533
Divisor count: 2
σ(n) — sum of divisors: 18,078
φ(n) — Euler's totient: 18,076

Primality

18,077 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 18077

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 18,077)

1 × 18077

First multiples

18,077 · 36,154 (double) · 54,231 · 72,308 · 90,385 · 108,462 · 126,539 · 144,616 · 162,693 · 180,770

Sums & aliquot sequence

As a sum of two squares: 11² + 134²

As consecutive integers: 9,038 + 9,039

Continued fraction of √n

√18,077 = [134; (2, 4, 1, 1, 2, 1, 5, 1, 5, 3, 1, 5, 2, 1, 5, 1, 1, 3, 6, 1, 66, 2, 1, 3, …)]

Period length 57 — the block in parentheses repeats forever.

Representations

In words: eighteen thousand seventy-seven
Ordinal: 18077th
Binary: 100011010011101
Octal: 43235
Hexadecimal: 0x469D
Base64: Rp0=
One's complement: 47,458 (16-bit)
Scientific notation: 1.8077 × 10⁴
As a duration: 18,077 s = 5 hours, 1 minute, 17 seconds

In other bases

ternary (3) 220210112

quaternary (4) 10122131

quinary (5) 1034302

senary (6) 215405

septenary (7) 103463

nonary (9) 26715

undecimal (11) 12644

duodecimal (12) a565

tridecimal (13) 82c7

tetradecimal (14) 6833

pentadecimal (15) 5552

As an angle

18,077° = 50 × 360° + 77°

77° ≈ 1.344 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιηοζʹ
Mayan (base 20): 𝋢·𝋥·𝋣·𝋱
Chinese: 一萬八千零七十七
Chinese (financial): 壹萬捌仟零柒拾柒

In other modern scripts

Eastern Arabic ١٨٠٧٧ Devanagari १८०७७ Bengali ১৮০৭৭ Tamil ௧௮௦௭௭ Thai ๑๘๐๗๗ Tibetan ༡༨༠༧༧ Khmer ១៨០៧៧ Lao ໑໘໐໗໗ Burmese ၁၈၀၇၇

Digit at this position in famous constants

π — Pi (π): Digit 18,077 = 5
e — Euler's number (e): Digit 18,077 = 8
φ — Golden ratio (φ): Digit 18,077 = 6
√2 — Pythagoras's (√2): Digit 18,077 = 4
ln 2 — Natural log of 2: Digit 18,077 = 1
γ — Euler-Mascheroni (γ): Digit 18,077 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 18,061 (gap of 16)
Next prime: 18,089 (gap of 12)

Unicode codepoint

䚝

CJK Unified Ideograph-469D

U+469D

Other letter (Lo)

UTF-8 encoding: E4 9A 9D (3 bytes).

Lookup U+469D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00469D

RGB(0, 70, 157)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.70.157.

Address: 0.0.70.157
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.70.157

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 18,077 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, +33¢)
Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -30¢)
Baroque pitch (A4 = 415 Hz): D10 (17726.7 Hz, +34¢)

Position in π

The digit sequence 18077 first appears in π at position 12,157 of the decimal expansion (the 12,157ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 18077 on Pi Search ↗