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12,272

12,272 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.).

12,272 (twelve thousand two hundred seventy-two) is an even 5-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 59. Its proper divisors sum to 13,768, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2FF0.

Abundant Number Arithmetic Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
56
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
27,221
Recamán's sequence
a(22,240) = 12,272
Square (n²)
150,601,984
Cube (n³)
1,848,187,547,648
Divisor count
20
σ(n) — sum of divisors
26,040
φ(n) — Euler's totient
5,568
Sum of prime factors
80

Primality

Prime factorization: 2 4 × 13 × 59

Nearest primes: 12,269 (−3) · 12,277 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 59 · 104 · 118 · 208 · 236 · 472 · 767 · 944 · 1534 · 3068 · 6136 (half) · 12272
Aliquot sum (sum of proper divisors): 13,768
Factor pairs (a × b = 12,272)
1 × 12272
2 × 6136
4 × 3068
8 × 1534
13 × 944
16 × 767
26 × 472
52 × 236
59 × 208
104 × 118
First multiples
12,272 · 24,544 (double) · 36,816 · 49,088 · 61,360 · 73,632 · 85,904 · 98,176 · 110,448 · 122,720

Sums & aliquot sequence

As consecutive integers: 938 + 939 + … + 950 368 + 369 + … + 399 179 + 180 + … + 237
Aliquot sequence: 12,272 13,768 12,062 6,634 3,734 1,870 2,018 1,012 1,004 760 1,040 1,564 1,460 1,648 1,576 1,394 874 — unresolved within range

Continued fraction of √n

√12,272 = [110; (1, 3, 1, 1, 9, 12, 1, 12, 1, 12, 9, 1, 1, 3, 1, 220)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
twelve thousand two hundred seventy-two
Ordinal
12272nd
Binary
10111111110000
Octal
27760
Hexadecimal
0x2FF0
Base64
L/A=
One's complement
53,263 (16-bit)
Scientific notation
1.2272 × 10⁴
As a duration
12,272 s = 3 hours, 24 minutes, 32 seconds
In other bases
ternary (3) 121211112
quaternary (4) 2333300
quinary (5) 343042
senary (6) 132452
septenary (7) 50531
nonary (9) 17745
undecimal (11) 9247
duodecimal (12) 7128
tridecimal (13) 5780
tetradecimal (14) 4688
pentadecimal (15) 3982

As an angle

12,272° = 34 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιβσοβʹ
Mayan (base 20)
𝋡·𝋪·𝋭·𝋬
Chinese
一萬二千二百七十二
Chinese (financial)
壹萬貳仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٢٢٧٢ Devanagari १२२७२ Bengali ১২২৭২ Tamil ௧௨௨௭௨ Thai ๑๒๒๗๒ Tibetan ༡༢༢༧༢ Khmer ១២២៧២ Lao ໑໒໒໗໒ Burmese ၁၂၂၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 12,272 = 2
e — Euler's number (e)
Digit 12,272 = 8
φ — Golden ratio (φ)
Digit 12,272 = 1
√2 — Pythagoras's (√2)
Digit 12,272 = 1
ln 2 — Natural log of 2
Digit 12,272 = 8
γ — Euler-Mascheroni (γ)
Digit 12,272 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12272, here are decompositions:

  • 3 + 12269 = 12272
  • 19 + 12253 = 12272
  • 31 + 12241 = 12272
  • 61 + 12211 = 12272
  • 109 + 12163 = 12272
  • 163 + 12109 = 12272
  • 199 + 12073 = 12272
  • 223 + 12049 = 12272

Showing the first eight; more decompositions exist.

Unicode codepoint
Ideographic Description Character Left To Right
U+2FF0
Other symbol (So)

UTF-8 encoding: E2 BF B0 (3 bytes).

Hex color
#002FF0
RGB(0, 47, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.240.

Address
0.0.47.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.47.240

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

Musical pitch

Heard as a frequency, 12,272 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G9 (12543.9 Hz, -38¢)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, exact)
  • Baroque pitch (A4 = 415 Hz): G♯9 (12534.7 Hz, -37¢)
Position in π

The digit sequence 12272 first appears in π at position 141,376 of the decimal expansion (the 141,376ordinal-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.