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11,980

11,980 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.).

11,980 (eleven thousand nine hundred eighty) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 599. Its proper divisors sum to 13,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2ECC.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
8,911
Flips to (rotate 180°)
8,611
Recamán's sequence
a(22,824) = 11,980
Square (n²)
143,520,400
Cube (n³)
1,719,374,392,000
Divisor count
12
σ(n) — sum of divisors
25,200
φ(n) — Euler's totient
4,784
Sum of prime factors
608

Primality

Prime factorization: 2 2 × 5 × 599

Nearest primes: 11,971 (−9) · 11,981 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 599 · 1198 · 2396 · 2995 · 5990 (half) · 11980
Aliquot sum (sum of proper divisors): 13,220
Factor pairs (a × b = 11,980)
1 × 11980
2 × 5990
4 × 2995
5 × 2396
10 × 1198
20 × 599
First multiples
11,980 · 23,960 (double) · 35,940 · 47,920 · 59,900 · 71,880 · 83,860 · 95,840 · 107,820 · 119,800

Sums & aliquot sequence

As consecutive integers: 2,394 + 2,395 + 2,396 + 2,397 + 2,398 1,494 + 1,495 + … + 1,501 280 + 281 + … + 319
Aliquot sequence: 11,980 13,220 14,584 12,776 11,194 6,266 3,898 1,952 1,954 980 1,414 1,034 694 350 394 200 265 — unresolved within range

Continued fraction of √n

√11,980 = [109; (2, 4, 1, 5, 3, 1, 4, 4, 1, 1, 1, 8, 2, 10, 2, 8, 1, 1, 1, 4, 4, 1, 3, 5, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
eleven thousand nine hundred eighty
Ordinal
11980th
Binary
10111011001100
Octal
27314
Hexadecimal
0x2ECC
Base64
Lsw=
One's complement
53,555 (16-bit)
Scientific notation
1.198 × 10⁴
As a duration
11,980 s = 3 hours, 19 minutes, 40 seconds
In other bases
ternary (3) 121102201
quaternary (4) 2323030
quinary (5) 340410
senary (6) 131244
septenary (7) 46633
nonary (9) 17381
undecimal (11) 9001
duodecimal (12) 6b24
tridecimal (13) 55b7
tetradecimal (14) 451a
pentadecimal (15) 383a

As an angle

11,980° = 33 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιαϡπʹ
Mayan (base 20)
𝋡·𝋩·𝋳·𝋠
Chinese
一萬一千九百八十
Chinese (financial)
壹萬壹仟玖佰捌拾
In other modern scripts
Eastern Arabic ١١٩٨٠ Devanagari ११९८० Bengali ১১৯৮০ Tamil ௧௧௯௮௦ Thai ๑๑๙๘๐ Tibetan ༡༡༩༨༠ Khmer ១១៩៨០ Lao ໑໑໙໘໐ Burmese ၁၁၉၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 11,980 = 8
e — Euler's number (e)
Digit 11,980 = 2
φ — Golden ratio (φ)
Digit 11,980 = 0
√2 — Pythagoras's (√2)
Digit 11,980 = 3
ln 2 — Natural log of 2
Digit 11,980 = 5
γ — Euler-Mascheroni (γ)
Digit 11,980 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 11980, here are decompositions:

  • 11 + 11969 = 11980
  • 41 + 11939 = 11980
  • 47 + 11933 = 11980
  • 53 + 11927 = 11980
  • 71 + 11909 = 11980
  • 83 + 11897 = 11980
  • 113 + 11867 = 11980
  • 149 + 11831 = 11980

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Radical Simplified Walk
U+2ECC
Other symbol (So)

UTF-8 encoding: E2 BB 8C (3 bytes).

Hex color
#002ECC
RGB(0, 46, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.46.204.

Address
0.0.46.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.46.204

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

Musical pitch

Heard as a frequency, 11,980 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +20¢)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -42¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +22¢)
Position in π

The digit sequence 11980 first appears in π at position 6,632 of the decimal expansion (the 6,632ordinal-suffix:nd 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