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12,048

12,048 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.).
Abundant Number Evil Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
84,021
Recamán's sequence
a(22,688) = 12,048
Square (n²)
145,154,304
Cube (n³)
1,748,819,054,592
Divisor count
20
σ(n) — sum of divisors
31,248
φ(n) — Euler's totient
4,000
Sum of prime factors
262

Primality

Prime factorization: 2 4 × 3 × 251

Nearest primes: 12,043 (−5) · 12,049 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 251 · 502 · 753 · 1004 · 1506 · 2008 · 3012 · 4016 · 6024 (half) · 12048
Aliquot sum (sum of proper divisors): 19,200
Factor pairs (a × b = 12,048)
1 × 12048
2 × 6024
3 × 4016
4 × 3012
6 × 2008
8 × 1506
12 × 1004
16 × 753
24 × 502
48 × 251
First multiples
12,048 · 24,096 (double) · 36,144 · 48,192 · 60,240 · 72,288 · 84,336 · 96,384 · 108,432 · 120,480

Sums & aliquot sequence

As consecutive integers: 4,015 + 4,016 + 4,017 361 + 362 + … + 392 78 + 79 + … + 173
Aliquot sequence: 12,048 19,200 44,164 34,824 52,296 78,504 117,816 176,784 299,376 783,888 1,531,440 3,750,960 7,877,760 19,588,800 62,048,832 113,881,728 192,950,592 — unresolved within range

Representations

In words
twelve thousand forty-eight
Ordinal
12048th
Binary
10111100010000
Octal
27420
Hexadecimal
0x2F10
Base64
LxA=
One's complement
53,487 (16-bit)
In other bases
ternary (3) 121112020
quaternary (4) 2330100
quinary (5) 341143
senary (6) 131440
septenary (7) 50061
nonary (9) 17466
undecimal (11) 9063
duodecimal (12) 6b80
tridecimal (13) 563a
tetradecimal (14) 4568
pentadecimal (15) 3883

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιβμηʹ
Mayan (base 20)
𝋡·𝋪·𝋢·𝋨
Chinese
一萬二千零四十八
Chinese (financial)
壹萬貳仟零肆拾捌
In other modern scripts
Eastern Arabic ١٢٠٤٨ Devanagari १२०४८ Bengali ১২০৪৮ Tamil ௧௨௦௪௮ Thai ๑๒๐๔๘ Tibetan ༡༢༠༤༨ Khmer ១២០៤៨ Lao ໑໒໐໔໘ Burmese ၁၂၀၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 12,048 = 7
e — Euler's number (e)
Digit 12,048 = 7
φ — Golden ratio (φ)
Digit 12,048 = 7
√2 — Pythagoras's (√2)
Digit 12,048 = 1
ln 2 — Natural log of 2
Digit 12,048 = 7
γ — Euler-Mascheroni (γ)
Digit 12,048 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12048, here are decompositions:

  • 5 + 12043 = 12048
  • 7 + 12041 = 12048
  • 11 + 12037 = 12048
  • 37 + 12011 = 12048
  • 41 + 12007 = 12048
  • 61 + 11987 = 12048
  • 67 + 11981 = 12048
  • 79 + 11969 = 12048

Showing the first eight; more decompositions exist.

Unicode codepoint
Kangxi Radical Open Box
U+2F10
Other symbol (So)

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

Hex color
#002F10
RGB(0, 47, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.16.

Address
0.0.47.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.47.16

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

Position in π

The digit sequence 12048 first appears in π at position 82,920 of the decimal expansion (the 82,920ordinal-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.