number.wiki
Live analysis

9,680

9,680 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.).

9,680 (nine thousand six hundred eighty) is an even 4-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5 × 11². Its proper divisors sum to 15,058, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x25D0.

Abundant Number Evil Number Flippable Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
869
Flips to (rotate 180°)
896
Recamán's sequence
a(8,739) = 9,680
Square (n²)
93,702,400
Cube (n³)
907,039,232,000
Divisor count
30
σ(n) — sum of divisors
24,738
φ(n) — Euler's totient
3,520
Sum of prime factors
35

Primality

Prime factorization: 2 4 × 5 × 11 2

Nearest primes: 9,679 (−1) · 9,689 (+9)

Divisors & multiples

All divisors (30)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 40 · 44 · 55 · 80 · 88 · 110 · 121 · 176 · 220 · 242 · 440 · 484 · 605 · 880 · 968 · 1210 · 1936 · 2420 · 4840 (half) · 9680
Aliquot sum (sum of proper divisors): 15,058
Factor pairs (a × b = 9,680)
1 × 9680
2 × 4840
4 × 2420
5 × 1936
8 × 1210
10 × 968
11 × 880
16 × 605
20 × 484
22 × 440
40 × 242
44 × 220
55 × 176
80 × 121
88 × 110
First multiples
9,680 · 19,360 (double) · 29,040 · 38,720 · 48,400 · 58,080 · 67,760 · 77,440 · 87,120 · 96,800

Sums & aliquot sequence

As a sum of two squares: 44² + 88²
As consecutive integers: 1,934 + 1,935 + 1,936 + 1,937 + 1,938 875 + 876 + … + 885 287 + 288 + … + 318 149 + 150 + … + 203
Aliquot sequence: 9,680 15,058 7,532 7,588 7,644 14,700 34,776 80,424 137,586 149,838 194,898 230,478 236,082 371,310 519,906 535,038 688,002 — unresolved within range

Continued fraction of √n

√9,680 = [98; (2, 1, 1, 2, 2, 9, 2, 2, 1, 1, 2, 196)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
nine thousand six hundred eighty
Ordinal
9680th
Binary
10010111010000
Octal
22720
Hexadecimal
0x25D0
Base64
JdA=
One's complement
55,855 (16-bit)
Scientific notation
9.68 × 10³
As a duration
9,680 s = 2 hours, 41 minutes, 20 seconds
In other bases
ternary (3) 111021112
quaternary (4) 2113100
quinary (5) 302210
senary (6) 112452
septenary (7) 40136
nonary (9) 14245
undecimal (11) 7300
duodecimal (12) 5728
tridecimal (13) 4538
tetradecimal (14) 3756
pentadecimal (15) 2d05

As an angle

9,680° = 26 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵θχπʹ
Mayan (base 20)
𝋡·𝋤·𝋤·𝋠
Chinese
九千六百八十
Chinese (financial)
玖仟陸佰捌拾
In other modern scripts
Eastern Arabic ٩٦٨٠ Devanagari ९६८० Bengali ৯৬৮০ Tamil ௯௬௮௦ Thai ๙๖๘๐ Tibetan ༩༦༨༠ Khmer ៩៦៨០ Lao ໙໖໘໐ Burmese ၉၆၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 9,680 = 7
e — Euler's number (e)
Digit 9,680 = 9
φ — Golden ratio (φ)
Digit 9,680 = 1
√2 — Pythagoras's (√2)
Digit 9,680 = 2
ln 2 — Natural log of 2
Digit 9,680 = 9
γ — Euler-Mascheroni (γ)
Digit 9,680 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 9680, here are decompositions:

  • 3 + 9677 = 9680
  • 19 + 9661 = 9680
  • 31 + 9649 = 9680
  • 37 + 9643 = 9680
  • 61 + 9619 = 9680
  • 67 + 9613 = 9680
  • 79 + 9601 = 9680
  • 241 + 9439 = 9680

Showing the first eight; more decompositions exist.

Unicode codepoint
Circle With Left Half Black
U+25D0
Other symbol (So)

UTF-8 encoding: E2 97 90 (3 bytes).

Hex color
#0025D0
RGB(0, 37, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.37.208.

Address
0.0.37.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.37.208

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

Musical pitch

Heard as a frequency, 9,680 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, -49¢ — about midway to D9)
  • Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, -11¢)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, -47¢ — about midway to D♯9)
Position in π

The digit sequence 9680 first appears in π at position 12,118 of the decimal expansion (the 12,118ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.