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Number

6,961

6,961 is a prime, odd.

6,961 (six thousand nine hundred sixty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B31.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
22
Digit product
324
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
1,696
Flips to (rotate 180°)
1,969
Recamán's sequence
a(52,957) = 6,961
Square (n²)
48,455,521
Cube (n³)
337,298,881,681
Divisor count
2
σ(n) — sum of divisors
6,962
φ(n) — Euler's totient
6,960

Primality

6,961 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6961
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,961)
1 × 6961
First multiples
6,961 · 13,922 (double) · 20,883 · 27,844 · 34,805 · 41,766 · 48,727 · 55,688 · 62,649 · 69,610

Sums & aliquot sequence

As a sum of two squares: 20² + 81²
As consecutive integers: 3,480 + 3,481

Continued fraction of √n

√6,961 = [83; (2, 3, 4, 1, 3, 2, 1, 3, 2, 1, 1, 1, 10, 2, 55, 6, 1, 14, 3, 4, 1, 7, 1, 32, …)]

Representations

In words
six thousand nine hundred sixty-one
Ordinal
6961st
Binary
1101100110001
Octal
15461
Hexadecimal
0x1B31
Base64
GzE=
One's complement
58,574 (16-bit)
Scientific notation
6.961 × 10³
As a duration
6,961 s = 1 hour, 56 minutes, 1 second
In other bases
ternary (3) 100112211
quaternary (4) 1230301
quinary (5) 210321
senary (6) 52121
septenary (7) 26203
nonary (9) 10484
undecimal (11) 5259
duodecimal (12) 4041
tridecimal (13) 3226
tetradecimal (14) 2773
pentadecimal (15) 20e1

As an angle

6,961° = 19 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϛϡξαʹ
Mayan (base 20)
𝋱·𝋨·𝋡
Chinese
六千九百六十一
Chinese (financial)
陸仟玖佰陸拾壹
In other modern scripts
Eastern Arabic ٦٩٦١ Devanagari ६९६१ Bengali ৬৯৬১ Tamil ௬௯௬௧ Thai ๖๙๖๑ Tibetan ༦༩༦༡ Khmer ៦៩៦១ Lao ໖໙໖໑ Burmese ၆၉၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 6,961 = 5
e — Euler's number (e)
Digit 6,961 = 6
φ — Golden ratio (φ)
Digit 6,961 = 7
√2 — Pythagoras's (√2)
Digit 6,961 = 6
ln 2 — Natural log of 2
Digit 6,961 = 2
γ — Euler-Mascheroni (γ)
Digit 6,961 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,959 (gap of 2)
  • Next prime: 6,967 (gap of 6)

Pair status: twin with 6959, sexy with 6967.

Unicode codepoint
Balinese Letter Sa Sapa
U+1B31
Other letter (Lo)

UTF-8 encoding: E1 AC B1 (3 bytes).

Hex color
#001B31
RGB(0, 27, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.49.

Address
0.0.27.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.27.49

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

Musical pitch

Heard as a frequency, 6,961 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -20¢)
  • Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +18¢)
  • Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -18¢)
Position in π

The digit sequence 6961 first appears in π at position 12,131 of the decimal expansion (the 12,131ordinal-suffix:st 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.