Live analysis

8,320

8,320 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.).

8,320 (eight thousand three hundred twenty) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 5 × 13. Its proper divisors sum to 13,100, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2080.

Abundant Number Descending Digits Evil Number Gapful Number Harshad / Niven Pernicious Number Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

8,308 8,309 8,310 8,311 8,312 8,313 8,314 8,315 8,316 8,317 8,318 8,319 8,320 8,321 8,322 8,323 8,324 8,325 8,326 8,327 8,328 8,329 8,330 8,331 8,332

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 238
Recamán's sequence: a(25,264) = 8,320
Square (n²): 69,222,400
Cube (n³): 575,930,368,000
Divisor count: 32
σ(n) — sum of divisors: 21,420
φ(n) — Euler's totient: 3,072
Sum of prime factors: 32

Primality

Prime factorization: 2 ⁷ × 5 × 13

Nearest primes: 8,317 (−3) · 8,329 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 32 · 40 · 52 · 64 · 65 · 80 · 104 · 128 · 130 · 160 · 208 · 260 · 320 · 416 · 520 · 640 · 832 · 1040 · 1664 · 2080 · 4160 (half) · 8320

Aliquot sum (sum of proper divisors): 13,100

Factor pairs (a × b = 8,320)

1 × 8320

2 × 4160

4 × 2080

5 × 1664

8 × 1040

10 × 832

13 × 640

16 × 520

20 × 416

26 × 320

32 × 260

40 × 208

52 × 160

64 × 130

65 × 128

80 × 104

First multiples

8,320 · 16,640 (double) · 24,960 · 33,280 · 41,600 · 49,920 · 58,240 · 66,560 · 74,880 · 83,200

Sums & aliquot sequence

As a sum of two squares: 24² + 88² = 56² + 72²

As consecutive integers: 1,662 + 1,663 + 1,664 + 1,665 + 1,666 634 + 635 + … + 646 96 + 97 + … + 160

Aliquot sequence: 8,320 → 13,100 → 15,544 → 15,056 → 14,146 → 9,038 → 4,522 → 4,118 → 2,362 → 1,184 → 1,210 → 1,184 — enters a cycle

Continued fraction of √n

√8,320 = [91; (4, 1, 2, 19, 1, 10, 2, 4, 1, 1, 2, 3, 3, 45, 3, 3, 2, 1, 1, 4, 2, 10, 1, 19, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: eight thousand three hundred twenty
Ordinal: 8320th
Binary: 10000010000000
Octal: 20200
Hexadecimal: 0x2080
Base64: IIA=
One's complement: 57,215 (16-bit)
Scientific notation: 8.32 × 10³
As a duration: 8,320 s = 2 hours, 18 minutes, 40 seconds

In other bases

ternary (3) 102102011

quaternary (4) 2002000

quinary (5) 231240

senary (6) 102304

septenary (7) 33154

nonary (9) 12364

undecimal (11) 6284

duodecimal (12) 4994

tridecimal (13) 3a30

tetradecimal (14) 3064

pentadecimal (15) 26ea

Palindromic in base 12

As an angle

8,320° = 23 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ητκʹ
Mayan (base 20): 𝋡·𝋠·𝋰·𝋠
Chinese: 八千三百二十
Chinese (financial): 捌仟參佰貳拾

In other modern scripts

Eastern Arabic ٨٣٢٠ Devanagari ८३२० Bengali ৮৩২০ Tamil ௮௩௨௦ Thai ๘๓๒๐ Tibetan ༨༣༢༠ Khmer ៨៣២០ Lao ໘໓໒໐ Burmese ၈၃၂၀

Digit at this position in famous constants

π — Pi (π): Digit 8,320 = 9
e — Euler's number (e): Digit 8,320 = 5
φ — Golden ratio (φ): Digit 8,320 = 5
√2 — Pythagoras's (√2): Digit 8,320 = 7
ln 2 — Natural log of 2: Digit 8,320 = 1
γ — Euler-Mascheroni (γ): Digit 8,320 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8320, here are decompositions:

3 + 8317 = 8320
23 + 8297 = 8320
29 + 8291 = 8320
47 + 8273 = 8320
83 + 8237 = 8320
89 + 8231 = 8320
101 + 8219 = 8320
149 + 8171 = 8320

Showing the first eight; more decompositions exist.

Unicode codepoint

₀

Subscript Zero

U+2080

Other number (No)

UTF-8 encoding: E2 82 80 (3 bytes).

Lookup U+2080 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002080

RGB(0, 32, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.128.

Address: 0.0.32.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.32.128

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

Musical pitch

Heard as a frequency, 8,320 Hz is closest to:

Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -11¢)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +27¢)
Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -10¢)

Position in π

The digit sequence 8320 first appears in π at position 5,959 of the decimal expansion (the 5,959ordinal-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 8320 on Pi Search ↗