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10,948

10,948 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.).

10,948 (ten thousand nine hundred forty-eight) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 17 × 23. Its proper divisors sum to 13,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2AC4.

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

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
84,901
Recamán's sequence
a(174,363) = 10,948
Square (n²)
119,858,704
Cube (n³)
1,312,213,091,392
Divisor count
24
σ(n) — sum of divisors
24,192
φ(n) — Euler's totient
4,224
Sum of prime factors
51

Primality

Prime factorization: 2 2 × 7 × 17 × 23

Nearest primes: 10,939 (−9) · 10,949 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 17 · 23 · 28 · 34 · 46 · 68 · 92 · 119 · 161 · 238 · 322 · 391 · 476 · 644 · 782 · 1564 · 2737 · 5474 (half) · 10948
Aliquot sum (sum of proper divisors): 13,244
Factor pairs (a × b = 10,948)
1 × 10948
2 × 5474
4 × 2737
7 × 1564
14 × 782
17 × 644
23 × 476
28 × 391
34 × 322
46 × 238
68 × 161
92 × 119
First multiples
10,948 · 21,896 (double) · 32,844 · 43,792 · 54,740 · 65,688 · 76,636 · 87,584 · 98,532 · 109,480

Sums & aliquot sequence

As consecutive integers: 1,561 + 1,562 + … + 1,567 1,365 + 1,366 + … + 1,372 636 + 637 + … + 652 465 + 466 + … + 487
Aliquot sequence: 10,948 13,244 16,324 19,964 23,044 23,100 60,228 114,492 208,068 347,004 754,740 1,866,060 4,607,316 9,020,844 17,040,100 29,081,948 30,182,404 — unresolved within range

Continued fraction of √n

√10,948 = [104; (1, 1, 1, 2, 1, 1, 1, 1, 10, 2, 2, 22, 1, 5, 1, 1, 2, 1, 1, 5, 1, 22, 2, 2, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
ten thousand nine hundred forty-eight
Ordinal
10948th
Binary
10101011000100
Octal
25304
Hexadecimal
0x2AC4
Base64
KsQ=
One's complement
54,587 (16-bit)
Scientific notation
1.0948 × 10⁴
As a duration
10,948 s = 3 hours, 2 minutes, 28 seconds
In other bases
ternary (3) 120000111
quaternary (4) 2223010
quinary (5) 322243
senary (6) 122404
septenary (7) 43630
nonary (9) 16014
undecimal (11) 8253
duodecimal (12) 6404
tridecimal (13) 4ca2
tetradecimal (14) 3dc0
pentadecimal (15) 339d

As an angle

10,948° = 30 × 360° + 148°
148° ≈ 2.583 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϡμηʹ
Mayan (base 20)
𝋡·𝋧·𝋧·𝋨
Chinese
一萬零九百四十八
Chinese (financial)
壹萬零玖佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٩٤٨ Devanagari १०९४८ Bengali ১০৯৪৮ Tamil ௧௦௯௪௮ Thai ๑๐๙๔๘ Tibetan ༡༠༩༤༨ Khmer ១០៩៤៨ Lao ໑໐໙໔໘ Burmese ၁၀၉၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 10,948 = 7
e — Euler's number (e)
Digit 10,948 = 6
φ — Golden ratio (φ)
Digit 10,948 = 6
√2 — Pythagoras's (√2)
Digit 10,948 = 8
ln 2 — Natural log of 2
Digit 10,948 = 2
γ — Euler-Mascheroni (γ)
Digit 10,948 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10948, here are decompositions:

  • 11 + 10937 = 10948
  • 59 + 10889 = 10948
  • 89 + 10859 = 10948
  • 101 + 10847 = 10948
  • 149 + 10799 = 10948
  • 167 + 10781 = 10948
  • 239 + 10709 = 10948
  • 257 + 10691 = 10948

Showing the first eight; more decompositions exist.

Unicode codepoint
Superset Of Or Equal To With Dot Above
U+2AC4
Math symbol (Sm)

UTF-8 encoding: E2 AB 84 (3 bytes).

Hex color
#002AC4
RGB(0, 42, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.196.

Address
0.0.42.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.196

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

Musical pitch

Heard as a frequency, 10,948 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -36¢)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +2¢)
  • Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -34¢)
Position in π

The digit sequence 10948 first appears in π at position 293,649 of the decimal expansion (the 293,649ordinal-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