Live analysis

8,118

8,118 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.).

8,118 (eight thousand one hundred eighteen) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 11 × 41. Its proper divisors sum to 11,538, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x1FB6.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Happy Number Harshad / Niven Palindrome Practical Number Recamán's Sequence Self Number Semiperfect Number Strobogrammatic

Interestingness

★ ★ ★ ★ ★

11 notable facts · grade A

8,106 8,107 8,108 8,109 8,110 8,111 8,112 8,113 8,114 8,115 8,116 8,117 8,118 8,119 8,120 8,121 8,122 8,123 8,124 8,125 8,126 8,127 8,128 8,129 8,130

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 64
Digital root: 9
Palindrome: Yes
Bit width: 13 bits
Recamán's sequence: a(10,531) = 8,118
Square (n²): 65,901,924
Cube (n³): 534,991,819,032
Divisor count: 24
σ(n) — sum of divisors: 19,656
φ(n) — Euler's totient: 2,400
Sum of prime factors: 60

Primality

Prime factorization: 2 × 3 ² × 11 × 41

Nearest primes: 8,117 (−1) · 8,123 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 11 · 18 · 22 · 33 · 41 · 66 · 82 · 99 · 123 · 198 · 246 · 369 · 451 · 738 · 902 · 1353 · 2706 · 4059 (half) · 8118

Aliquot sum (sum of proper divisors): 11,538

Factor pairs (a × b = 8,118)

1 × 8118

2 × 4059

3 × 2706

6 × 1353

9 × 902

11 × 738

18 × 451

22 × 369

33 × 246

41 × 198

66 × 123

82 × 99

First multiples

8,118 · 16,236 (double) · 24,354 · 32,472 · 40,590 · 48,708 · 56,826 · 64,944 · 73,062 · 81,180

Sums & aliquot sequence

As consecutive integers: 2,705 + 2,706 + 2,707 2,028 + 2,029 + 2,030 + 2,031 898 + 899 + … + 906 733 + 734 + … + 743

Aliquot sequence: 8,118 → 11,538 → 13,500 → 30,180 → 54,492 → 79,908 → 106,572 → 147,444 → 228,204 → 363,716 → 281,404 → 211,060 → 242,036 → 181,534 → 93,146 → 46,576 → 47,168 — unresolved within range

Continued fraction of √n

√8,118 = [90; (10, 180)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: eight thousand one hundred eighteen
Ordinal: 8118th
Binary: 1111110110110
Octal: 17666
Hexadecimal: 0x1FB6
Base64: H7Y=
One's complement: 57,417 (16-bit)
Scientific notation: 8.118 × 10³
As a duration: 8,118 s = 2 hours, 15 minutes, 18 seconds

In other bases

ternary (3) 102010200

quaternary (4) 1332312

quinary (5) 224433

senary (6) 101330

septenary (7) 32445

nonary (9) 12120

undecimal (11) 6110

duodecimal (12) 4846

tridecimal (13) 3906

tetradecimal (14) 2d5c

pentadecimal (15) 2613

As an angle

8,118° = 22 × 360° + 198°

198° ≈ 3.456 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ηριηʹ
Mayan (base 20): 𝋡·𝋠·𝋥·𝋲
Chinese: 八千一百一十八
Chinese (financial): 捌仟壹佰壹拾捌

In other modern scripts

Eastern Arabic ٨١١٨ Devanagari ८११८ Bengali ৮১১৮ Tamil ௮௧௧௮ Thai ๘๑๑๘ Tibetan ༨༡༡༨ Khmer ៨១១៨ Lao ໘໑໑໘ Burmese ၈၁၁၈

Digit at this position in famous constants

π — Pi (π): Digit 8,118 = 1
e — Euler's number (e): Digit 8,118 = 8
φ — Golden ratio (φ): Digit 8,118 = 6
√2 — Pythagoras's (√2): Digit 8,118 = 7
ln 2 — Natural log of 2: Digit 8,118 = 9
γ — Euler-Mascheroni (γ): Digit 8,118 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8118, here are decompositions:

7 + 8111 = 8118
17 + 8101 = 8118
29 + 8089 = 8118
31 + 8087 = 8118
37 + 8081 = 8118
59 + 8059 = 8118
79 + 8039 = 8118
101 + 8017 = 8118

Showing the first eight; more decompositions exist.

Unicode codepoint

ᾶ

Greek Small Letter Alpha With Perispomeni

U+1FB6

Lowercase letter (Ll)

UTF-8 encoding: E1 BE B6 (3 bytes).

Lookup U+1FB6 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001FB6

RGB(0, 31, 182)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.182.

Address: 0.0.31.182
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.31.182

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

Musical pitch

Heard as a frequency, 8,118 Hz is closest to:

Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +47¢ — about midway to C9)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -16¢)
Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +48¢ — about midway to C♯9)

Position in π

The digit sequence 8118 first appears in π at position 22,445 of the decimal expansion (the 22,445ordinal-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 8118 on Pi Search ↗