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10,984

10,984 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.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
48,901
Recamán's sequence
a(174,291) = 10,984
Square (n²)
120,648,256
Cube (n³)
1,325,200,443,904
Divisor count
8
σ(n) — sum of divisors
20,610
φ(n) — Euler's totient
5,488
Sum of prime factors
1,379

Primality

Prime factorization: 2 3 × 1373

Nearest primes: 10,979 (−5) · 10,987 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 1373 · 2746 · 5492 (half) · 10984
Aliquot sum (sum of proper divisors): 9,626
Factor pairs (a × b = 10,984)
1 × 10984
2 × 5492
4 × 2746
8 × 1373
First multiples
10,984 · 21,968 (double) · 32,952 · 43,936 · 54,920 · 65,904 · 76,888 · 87,872 · 98,856 · 109,840

Sums & aliquot sequence

As a sum of two squares: 70² + 78²
As consecutive integers: 679 + 680 + … + 694
Aliquot sequence: 10,984 9,626 4,816 6,096 9,776 11,056 10,396 8,756 8,044 6,040 7,640 9,640 12,140 13,396 11,552 12,451 1 — unresolved within range

Representations

In words
ten thousand nine hundred eighty-four
Ordinal
10984th
Binary
10101011101000
Octal
25350
Hexadecimal
0x2AE8
Base64
Kug=
One's complement
54,551 (16-bit)
In other bases
ternary (3) 120001211
quaternary (4) 2223220
quinary (5) 322414
senary (6) 122504
septenary (7) 44011
nonary (9) 16054
undecimal (11) 8286
duodecimal (12) 6434
tridecimal (13) 4ccc
tetradecimal (14) 4008
pentadecimal (15) 33c4

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϡπδʹ
Mayan (base 20)
𝋡·𝋧·𝋩·𝋤
Chinese
一萬零九百八十四
Chinese (financial)
壹萬零玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٩٨٤ Devanagari १०९८४ Bengali ১০৯৮৪ Tamil ௧௦௯௮௪ Thai ๑๐๙๘๔ Tibetan ༡༠༩༨༤ Khmer ១០៩៨៤ Lao ໑໐໙໘໔ Burmese ၁၀၉၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,984 = 3
e — Euler's number (e)
Digit 10,984 = 6
φ — Golden ratio (φ)
Digit 10,984 = 9
√2 — Pythagoras's (√2)
Digit 10,984 = 8
ln 2 — Natural log of 2
Digit 10,984 = 1
γ — Euler-Mascheroni (γ)
Digit 10,984 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10984, here are decompositions:

  • 5 + 10979 = 10984
  • 11 + 10973 = 10984
  • 47 + 10937 = 10984
  • 101 + 10883 = 10984
  • 131 + 10853 = 10984
  • 137 + 10847 = 10984
  • 251 + 10733 = 10984
  • 293 + 10691 = 10984

Showing the first eight; more decompositions exist.

Unicode codepoint
Short Up Tack With Underbar
U+2AE8
Math symbol (Sm)

UTF-8 encoding: E2 AB A8 (3 bytes).

Hex color
#002AE8
RGB(0, 42, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.232.

Address
0.0.42.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.232

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

Position in π

The digit sequence 10984 first appears in π at position 24,405 of the decimal expansion (the 24,405ordinal-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.