Live analysis

6,840

6,840 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.).

6,840 (six thousand eight hundred forty) is an even 4-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 5 × 19. Its proper divisors sum to 16,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AB8.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

6,828 6,829 6,830 6,831 6,832 6,833 6,834 6,835 6,836 6,837 6,838 6,839 6,840 6,841 6,842 6,843 6,844 6,845 6,846 6,847 6,848 6,849 6,850 6,851 6,852

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 13 bits
Reversed: 486
Recamán's sequence: a(26,664) = 6,840
Square (n²): 46,785,600
Cube (n³): 320,013,504,000
Divisor count: 48
σ(n) — sum of divisors: 23,400
φ(n) — Euler's totient: 1,728
Sum of prime factors: 36

Primality

Prime factorization: 2 ³ × 3 ² × 5 × 19

Nearest primes: 6,833 (−7) · 6,841 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 19 · 20 · 24 · 30 · 36 · 38 · 40 · 45 · 57 · 60 · 72 · 76 · 90 · 95 · 114 · 120 · 152 · 171 · 180 · 190 · 228 · 285 · 342 · 360 · 380 · 456 · 570 · 684 · 760 · 855 · 1140 · 1368 · 1710 · 2280 · 3420 (half) · 6840

Aliquot sum (sum of proper divisors): 16,560

Factor pairs (a × b = 6,840)

1 × 6840

2 × 3420

3 × 2280

4 × 1710

5 × 1368

6 × 1140

8 × 855

9 × 760

10 × 684

12 × 570

15 × 456

18 × 380

19 × 360

20 × 342

24 × 285

30 × 228

36 × 190

38 × 180

40 × 171

45 × 152

57 × 120

60 × 114

72 × 95

76 × 90

First multiples

6,840 · 13,680 (double) · 20,520 · 27,360 · 34,200 · 41,040 · 47,880 · 54,720 · 61,560 · 68,400

Sums & aliquot sequence

As a sum of two cubes: 14³ + 16³

As consecutive integers: 2,279 + 2,280 + 2,281 1,366 + 1,367 + 1,368 + 1,369 + 1,370 756 + 757 + … + 764 449 + 450 + … + 463

Aliquot sequence: 6,840 → 16,560 → 41,472 → 82,311 → 27,441 → 12,209 → 451 → 53 → 1 → 0 — terminates at zero

Continued fraction of √n

√6,840 = [82; (1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 164)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: six thousand eight hundred forty
Ordinal: 6840th
Binary: 1101010111000
Octal: 15270
Hexadecimal: 0x1AB8
Base64: Grg=
One's complement: 58,695 (16-bit)
Scientific notation: 6.84 × 10³
As a duration: 6,840 s = 1 hour, 54 minutes

In other bases

ternary (3) 100101100

quaternary (4) 1222320

quinary (5) 204330

senary (6) 51400

septenary (7) 25641

nonary (9) 10340

undecimal (11) 5159

duodecimal (12) 3b60

tridecimal (13) 3162

tetradecimal (14) 26c8

pentadecimal (15) 2060

As an angle

6,840° = 19 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϛωμʹ
Mayan (base 20): 𝋱·𝋢·𝋠
Chinese: 六千八百四十
Chinese (financial): 陸仟捌佰肆拾

In other modern scripts

Eastern Arabic ٦٨٤٠ Devanagari ६८४० Bengali ৬৮৪০ Tamil ௬௮௪௦ Thai ๖๘๔๐ Tibetan ༦༨༤༠ Khmer ៦៨៤០ Lao ໖໘໔໐ Burmese ၆၈၄၀

Digit at this position in famous constants

π — Pi (π): Digit 6,840 = 0
e — Euler's number (e): Digit 6,840 = 4
φ — Golden ratio (φ): Digit 6,840 = 7
√2 — Pythagoras's (√2): Digit 6,840 = 0
ln 2 — Natural log of 2: Digit 6,840 = 4
γ — Euler-Mascheroni (γ): Digit 6,840 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6840, here are decompositions:

7 + 6833 = 6840
11 + 6829 = 6840
13 + 6827 = 6840
17 + 6823 = 6840
37 + 6803 = 6840
47 + 6793 = 6840
59 + 6781 = 6840
61 + 6779 = 6840

Showing the first eight; more decompositions exist.

Unicode codepoint

᪸

Combining Double Open Mark Below

U+1AB8

Non-spacing mark (Mn)

UTF-8 encoding: E1 AA B8 (3 bytes).

Lookup U+1AB8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001AB8

RGB(0, 26, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.184.

Address: 0.0.26.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.26.184

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

Musical pitch

Heard as a frequency, 6,840 Hz is closest to:

Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -50¢ — about midway to G♯8)
Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, -12¢)
Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -49¢ — about midway to A8)

Position in π

The digit sequence 6840 first appears in π at position 14,179 of the decimal expansion (the 14,179ordinal-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.

Look up 6840 on Pi Search ↗