Live analysis

8,140

8,140 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.).

8,140 (eight thousand one hundred forty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 11 × 37. Its proper divisors sum to 11,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FCC.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

8,128 8,129 8,130 8,131 8,132 8,133 8,134 8,135 8,136 8,137 8,138 8,139 8,140 8,141 8,142 8,143 8,144 8,145 8,146 8,147 8,148 8,149 8,150 8,151 8,152

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 13 bits
Reversed: 418
Recamán's sequence: a(10,487) = 8,140
Square (n²): 66,259,600
Cube (n³): 539,353,144,000
Divisor count: 24
σ(n) — sum of divisors: 19,152
φ(n) — Euler's totient: 2,880
Sum of prime factors: 57

Primality

Prime factorization: 2 ² × 5 × 11 × 37

Nearest primes: 8,123 (−17) · 8,147 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 37 · 44 · 55 · 74 · 110 · 148 · 185 · 220 · 370 · 407 · 740 · 814 · 1628 · 2035 · 4070 (half) · 8140

Aliquot sum (sum of proper divisors): 11,012

Factor pairs (a × b = 8,140)

1 × 8140

2 × 4070

4 × 2035

5 × 1628

10 × 814

11 × 740

20 × 407

22 × 370

37 × 220

44 × 185

55 × 148

74 × 110

First multiples

8,140 · 16,280 (double) · 24,420 · 32,560 · 40,700 · 48,840 · 56,980 · 65,120 · 73,260 · 81,400

Sums & aliquot sequence

As consecutive integers: 1,626 + 1,627 + 1,628 + 1,629 + 1,630 1,014 + 1,015 + … + 1,021 735 + 736 + … + 745 202 + 203 + … + 238

Aliquot sequence: 8,140 → 11,012 → 8,266 → 4,136 → 4,504 → 3,956 → 3,436 → 2,584 → 2,816 → 3,316 → 2,494 → 1,466 → 736 → 776 → 694 → 350 → 394 — unresolved within range

Continued fraction of √n

√8,140 = [90; (4, 1, 1, 44, 1, 1, 4, 180)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: eight thousand one hundred forty
Ordinal: 8140th
Binary: 1111111001100
Octal: 17714
Hexadecimal: 0x1FCC
Base64: H8w=
One's complement: 57,395 (16-bit)
Scientific notation: 8.14 × 10³
As a duration: 8,140 s = 2 hours, 15 minutes, 40 seconds

In other bases

ternary (3) 102011111

quaternary (4) 1333030

quinary (5) 230030

senary (6) 101404

septenary (7) 32506

nonary (9) 12144

undecimal (11) 6130

duodecimal (12) 4864

tridecimal (13) 3922

tetradecimal (14) 2d76

pentadecimal (15) 262a

As an angle

8,140° = 22 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ηρμʹ
Mayan (base 20): 𝋡·𝋠·𝋧·𝋠
Chinese: 八千一百四十
Chinese (financial): 捌仟壹佰肆拾

In other modern scripts

Eastern Arabic ٨١٤٠ Devanagari ८१४० Bengali ৮১৪০ Tamil ௮௧௪௦ Thai ๘๑๔๐ Tibetan ༨༡༤༠ Khmer ៨១៤០ Lao ໘໑໔໐ Burmese ၈၁၄၀

Digit at this position in famous constants

π — Pi (π): Digit 8,140 = 8
e — Euler's number (e): Digit 8,140 = 1
φ — Golden ratio (φ): Digit 8,140 = 0
√2 — Pythagoras's (√2): Digit 8,140 = 0
ln 2 — Natural log of 2: Digit 8,140 = 9
γ — Euler-Mascheroni (γ): Digit 8,140 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8140, here are decompositions:

17 + 8123 = 8140
23 + 8117 = 8140
29 + 8111 = 8140
47 + 8093 = 8140
53 + 8087 = 8140
59 + 8081 = 8140
71 + 8069 = 8140
101 + 8039 = 8140

Showing the first eight; more decompositions exist.

Unicode codepoint

ῌ

Greek Capital Letter Eta With Prosgegrammeni

U+1FCC

Titlecase letter (Lt)

UTF-8 encoding: E1 BF 8C (3 bytes).

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

Hex color

#001FCC

RGB(0, 31, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.204.

Address: 0.0.31.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.31.204

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

Musical pitch

Heard as a frequency, 8,140 Hz is closest to:

Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -49¢ — about midway to B8)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -11¢)
Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -47¢ — about midway to C9)

Position in π

The digit sequence 8140 first appears in π at position 4,364 of the decimal expansion (the 4,364ordinal-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 8140 on Pi Search ↗