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2,684

2,684 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.).
Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
384
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
4,862
Recamán's sequence
a(1,003) = 2,684
Square (n²)
7,203,856
Cube (n³)
19,335,149,504
Divisor count
12
σ(n) — sum of divisors
5,208
φ(n) — Euler's totient
1,200
Sum of prime factors
76

Primality

Prime factorization: 2 2 × 11 × 61

Nearest primes: 2,683 (−1) · 2,687 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 11 · 22 · 44 · 61 · 122 · 244 · 671 · 1342 (half) · 2684
Aliquot sum (sum of proper divisors): 2,524
Factor pairs (a × b = 2,684)
1 × 2684
2 × 1342
4 × 671
11 × 244
22 × 122
44 × 61
First multiples
2,684 · 5,368 (double) · 8,052 · 10,736 · 13,420 · 16,104 · 18,788 · 21,472 · 24,156 · 26,840

Sums & aliquot sequence

As consecutive integers: 332 + 333 + … + 339 239 + 240 + … + 249 14 + 15 + … + 74
Aliquot sequence: 2,684 2,524 1,900 2,440 3,140 3,496 3,704 3,256 3,584 4,600 6,560 9,316 8,072 7,078 3,542 3,370 2,714 — unresolved within range

Representations

In words
two thousand six hundred eighty-four
Ordinal
2684th
Roman numeral
MMDCLXXXIV
Binary
101001111100
Octal
5174
Hexadecimal
0xA7C
Base64
Cnw=
One's complement
62,851 (16-bit)
In other bases
ternary (3) 10200102
quaternary (4) 221330
quinary (5) 41214
senary (6) 20232
septenary (7) 10553
nonary (9) 3612
undecimal (11) 2020
duodecimal (12) 1678
tridecimal (13) 12b6
tetradecimal (14) d9a
pentadecimal (15) bde

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βχπδʹ
Mayan (base 20)
𝋦·𝋮·𝋤
Chinese
二千六百八十四
Chinese (financial)
貳仟陸佰捌拾肆
In other modern scripts
Eastern Arabic ٢٦٨٤ Devanagari २६८४ Bengali ২৬৮৪ Tamil ௨௬௮௪ Thai ๒๖๘๔ Tibetan ༢༦༨༤ Khmer ២៦៨៤ Lao ໒໖໘໔ Burmese ၂၆၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 2,684 = 6
e — Euler's number (e)
Digit 2,684 = 0
φ — Golden ratio (φ)
Digit 2,684 = 5
√2 — Pythagoras's (√2)
Digit 2,684 = 1
ln 2 — Natural log of 2
Digit 2,684 = 4
γ — Euler-Mascheroni (γ)
Digit 2,684 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2684, here are decompositions:

  • 7 + 2677 = 2684
  • 13 + 2671 = 2684
  • 37 + 2647 = 2684
  • 67 + 2617 = 2684
  • 127 + 2557 = 2684
  • 163 + 2521 = 2684
  • 181 + 2503 = 2684
  • 211 + 2473 = 2684

Showing the first eight; more decompositions exist.

Hex color
#000A7C
RGB(0, 10, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.124.

Address
0.0.10.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.124

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000002684
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 2684 first appears in π at position 1,265 of the decimal expansion (the 1,265ordinal-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.