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12,988

12,988 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.).

12,988 (twelve thousand nine hundred eighty-eight) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 191. Written other ways, in hexadecimal, 0x32BC.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
28
Digit product
1,152
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
88,921
Recamán's sequence
a(48,299) = 12,988
Square (n²)
168,688,144
Cube (n³)
2,190,921,614,272
Divisor count
12
σ(n) — sum of divisors
24,192
φ(n) — Euler's totient
6,080
Sum of prime factors
212

Primality

Prime factorization: 2 2 × 17 × 191

Nearest primes: 12,983 (−5) · 13,001 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 17 · 34 · 68 · 191 · 382 · 764 · 3247 · 6494 (half) · 12988
Aliquot sum (sum of proper divisors): 11,204
Factor pairs (a × b = 12,988)
1 × 12988
2 × 6494
4 × 3247
17 × 764
34 × 382
68 × 191
First multiples
12,988 · 25,976 (double) · 38,964 · 51,952 · 64,940 · 77,928 · 90,916 · 103,904 · 116,892 · 129,880

Sums & aliquot sequence

As consecutive integers: 1,620 + 1,621 + … + 1,627 756 + 757 + … + 772 28 + 29 + … + 163
Aliquot sequence: 12,988 11,204 8,410 7,268 6,172 4,636 4,044 5,420 6,004 5,196 6,956 5,812 4,366 2,474 1,240 1,640 2,140 — unresolved within range

Continued fraction of √n

√12,988 = [113; (1, 27, 2, 56, 2, 27, 1, 226)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
twelve thousand nine hundred eighty-eight
Ordinal
12988th
Binary
11001010111100
Octal
31274
Hexadecimal
0x32BC
Base64
Mrw=
One's complement
52,547 (16-bit)
Scientific notation
1.2988 × 10⁴
As a duration
12,988 s = 3 hours, 36 minutes, 28 seconds
In other bases
ternary (3) 122211001
quaternary (4) 3022330
quinary (5) 403423
senary (6) 140044
septenary (7) 52603
nonary (9) 18731
undecimal (11) 9838
duodecimal (12) 7624
tridecimal (13) 5bb1
tetradecimal (14) 4a3a
pentadecimal (15) 3cad

As an angle

12,988° = 36 × 360° + 28°
28° ≈ 0.489 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιβϡπηʹ
Mayan (base 20)
𝋡·𝋬·𝋩·𝋨
Chinese
一萬二千九百八十八
Chinese (financial)
壹萬貳仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ١٢٩٨٨ Devanagari १२९८८ Bengali ১২৯৮৮ Tamil ௧௨௯௮௮ Thai ๑๒๙๘๘ Tibetan ༡༢༩༨༨ Khmer ១២៩៨៨ Lao ໑໒໙໘໘ Burmese ၁၂၉၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 12,988 = 5
e — Euler's number (e)
Digit 12,988 = 7
φ — Golden ratio (φ)
Digit 12,988 = 8
√2 — Pythagoras's (√2)
Digit 12,988 = 4
ln 2 — Natural log of 2
Digit 12,988 = 5
γ — Euler-Mascheroni (γ)
Digit 12,988 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12988, here are decompositions:

  • 5 + 12983 = 12988
  • 29 + 12959 = 12988
  • 47 + 12941 = 12988
  • 71 + 12917 = 12988
  • 89 + 12899 = 12988
  • 167 + 12821 = 12988
  • 179 + 12809 = 12988
  • 197 + 12791 = 12988

Showing the first eight; more decompositions exist.

Unicode codepoint
Circled Number Forty Seven
U+32BC
Other number (No)

UTF-8 encoding: E3 8A BC (3 bytes).

Hex color
#0032BC
RGB(0, 50, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.188.

Address
0.0.50.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.188

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

Musical pitch

Heard as a frequency, 12,988 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -40¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, -2¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -38¢)
Position in π

The digit sequence 12988 first appears in π at position 92,652 of the decimal expansion (the 92,652ordinal-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