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6,900

6,900 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.).

6,900 (six thousand nine hundred) is an even 4-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 5² × 23. Its proper divisors sum to 13,932, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AF4.

Abundant Number Cube-Free Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
13 bits
Reversed
96
Flips to (rotate 180°)
69
Recamán's sequence
a(53,079) = 6,900
Square (n²)
47,610,000
Cube (n³)
328,509,000,000
Divisor count
36
σ(n) — sum of divisors
20,832
φ(n) — Euler's totient
1,760
Sum of prime factors
40

Primality

Prime factorization: 2 2 × 3 × 5 2 × 23

Nearest primes: 6,899 (−1) · 6,907 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 23 · 25 · 30 · 46 · 50 · 60 · 69 · 75 · 92 · 100 · 115 · 138 · 150 · 230 · 276 · 300 · 345 · 460 · 575 · 690 · 1150 · 1380 · 1725 · 2300 · 3450 (half) · 6900
Aliquot sum (sum of proper divisors): 13,932
Factor pairs (a × b = 6,900)
1 × 6900
2 × 3450
3 × 2300
4 × 1725
5 × 1380
6 × 1150
10 × 690
12 × 575
15 × 460
20 × 345
23 × 300
25 × 276
30 × 230
46 × 150
50 × 138
60 × 115
69 × 100
75 × 92
First multiples
6,900 · 13,800 (double) · 20,700 · 27,600 · 34,500 · 41,400 · 48,300 · 55,200 · 62,100 · 69,000

Sums & aliquot sequence

As consecutive integers: 2,299 + 2,300 + 2,301 1,378 + 1,379 + 1,380 + 1,381 + 1,382 859 + 860 + … + 866 453 + 454 + … + 467
Aliquot sequence: 6,900 13,932 23,336 20,434 12,074 6,040 7,640 9,640 12,140 13,396 11,552 12,451 1 0 — terminates at zero

Continued fraction of √n

√6,900 = [83; (15, 10, 3, 6, 3, 10, 15, 166)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
six thousand nine hundred
Ordinal
6900th
Binary
1101011110100
Octal
15364
Hexadecimal
0x1AF4
Base64
GvQ=
One's complement
58,635 (16-bit)
Scientific notation
6.9 × 10³
As a duration
6,900 s = 1 hour, 55 minutes
In other bases
ternary (3) 100110120
quaternary (4) 1223310
quinary (5) 210100
senary (6) 51540
septenary (7) 26055
nonary (9) 10416
undecimal (11) 5203
duodecimal (12) 3bb0
tridecimal (13) 31aa
tetradecimal (14) 272c
pentadecimal (15) 20a0

As an angle

6,900° = 19 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ϛϡʹ
Mayan (base 20)
𝋱·𝋥·𝋠
Chinese
六千九百
Chinese (financial)
陸仟玖佰
In other modern scripts
Eastern Arabic ٦٩٠٠ Devanagari ६९०० Bengali ৬৯০০ Tamil ௬௯௦௦ Thai ๖๙๐๐ Tibetan ༦༩༠༠ Khmer ៦៩០០ Lao ໖໙໐໐ Burmese ၆၉၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 6,900 = 9
e — Euler's number (e)
Digit 6,900 = 9
φ — Golden ratio (φ)
Digit 6,900 = 3
√2 — Pythagoras's (√2)
Digit 6,900 = 5
ln 2 — Natural log of 2
Digit 6,900 = 2
γ — Euler-Mascheroni (γ)
Digit 6,900 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6900, here are decompositions:

  • 17 + 6883 = 6900
  • 29 + 6871 = 6900
  • 31 + 6869 = 6900
  • 37 + 6863 = 6900
  • 43 + 6857 = 6900
  • 59 + 6841 = 6900
  • 67 + 6833 = 6900
  • 71 + 6829 = 6900

Showing the first eight; more decompositions exist.

Hex color
#001AF4
RGB(0, 26, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.244.

Address
0.0.26.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.26.244

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

Musical pitch

Heard as a frequency, 6,900 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -35¢)
  • Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +3¢)
  • Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -34¢)
Position in π

The digit sequence 6900 first appears in π at position 12,172 of the decimal expansion (the 12,172ordinal-suffix:nd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.