Live analysis

18,080

18,080 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

18,080 (eighteen thousand eighty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 113. Its proper divisors sum to 25,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x46A0.

Abundant Number Flippable Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 18,090 18,091 18,092

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 15 bits
Reversed: 8,081
Flips to (rotate 180°): 8,081
Recamán's sequence: a(15,896) = 18,080
Square (n²): 326,886,400
Cube (n³): 5,910,106,112,000
Divisor count: 24
σ(n) — sum of divisors: 43,092
φ(n) — Euler's totient: 7,168
Sum of prime factors: 128

Primality

Prime factorization: 2 ⁵ × 5 × 113

Nearest primes: 18,077 (−3) · 18,089 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 113 · 160 · 226 · 452 · 565 · 904 · 1130 · 1808 · 2260 · 3616 · 4520 · 9040 (half) · 18080

Aliquot sum (sum of proper divisors): 25,012

Factor pairs (a × b = 18,080)

1 × 18080

2 × 9040

4 × 4520

5 × 3616

8 × 2260

10 × 1808

16 × 1130

20 × 904

32 × 565

40 × 452

80 × 226

113 × 160

First multiples

18,080 · 36,160 (double) · 54,240 · 72,320 · 90,400 · 108,480 · 126,560 · 144,640 · 162,720 · 180,800

Sums & aliquot sequence

As a sum of two squares: 52² + 124² = 68² + 116²

As consecutive integers: 3,614 + 3,615 + 3,616 + 3,617 + 3,618 251 + 252 + … + 314 104 + 105 + … + 216

Aliquot sequence: 18,080 → 25,012 → 23,666 → 11,836 → 10,844 → 8,140 → 11,012 → 8,266 → 4,136 → 4,504 → 3,956 → 3,436 → 2,584 → 2,816 → 3,316 → 2,494 → 1,466 — unresolved within range

Continued fraction of √n

√18,080 = [134; (2, 6, 16, 1, 1, 1, 8, 67, 8, 1, 1, 1, 16, 6, 2, 268)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: eighteen thousand eighty
Ordinal: 18080th
Binary: 100011010100000
Octal: 43240
Hexadecimal: 0x46A0
Base64: RqA=
One's complement: 47,455 (16-bit)
Scientific notation: 1.808 × 10⁴
As a duration: 18,080 s = 5 hours, 1 minute, 20 seconds

In other bases

ternary (3) 220210122

quaternary (4) 10122200

quinary (5) 1034310

senary (6) 215412

septenary (7) 103466

nonary (9) 26718

undecimal (11) 12647

duodecimal (12) a568

tridecimal (13) 82ca

tetradecimal (14) 6836

pentadecimal (15) 5555

Palindromic in base 15

As an angle

18,080° = 50 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ιηπʹ
Mayan (base 20): 𝋢·𝋥·𝋤·𝋠
Chinese: 一萬八千零八十
Chinese (financial): 壹萬捌仟零捌拾

In other modern scripts

Eastern Arabic ١٨٠٨٠ Devanagari १८०८० Bengali ১৮০৮০ Tamil ௧௮௦௮௦ Thai ๑๘๐๘๐ Tibetan ༡༨༠༨༠ Khmer ១៨០៨០ Lao ໑໘໐໘໐ Burmese ၁၈၀၈၀

Digit at this position in famous constants

π — Pi (π): Digit 18,080 = 5
e — Euler's number (e): Digit 18,080 = 1
φ — Golden ratio (φ): Digit 18,080 = 6
√2 — Pythagoras's (√2): Digit 18,080 = 0
ln 2 — Natural log of 2: Digit 18,080 = 8
γ — Euler-Mascheroni (γ): Digit 18,080 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 18080, here are decompositions:

3 + 18077 = 18080
19 + 18061 = 18080
31 + 18049 = 18080
37 + 18043 = 18080
67 + 18013 = 18080
103 + 17977 = 18080
109 + 17971 = 18080
151 + 17929 = 18080

Showing the first eight; more decompositions exist.

Unicode codepoint

䚠

CJK Unified Ideograph-46A0

U+46A0

Other letter (Lo)

UTF-8 encoding: E4 9A A0 (3 bytes).

Lookup U+46A0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0046A0

RGB(0, 70, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.70.160.

Address: 0.0.70.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.70.160

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

Musical pitch

Heard as a frequency, 18,080 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, +33¢)
Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -29¢)
Baroque pitch (A4 = 415 Hz): D10 (17726.7 Hz, +34¢)

Position in π

The digit sequence 18080 first appears in π at position 26,034 of the decimal expansion (the 26,034ordinal-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 18080 on Pi Search ↗