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966,011

966,011 is a prime, odd.

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.).

966,011 (nine hundred sixty-six thousand eleven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xEBD7B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Flippable Odious Number Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
110,669
Flips to (rotate 180°)
110,996
Square (n²)
933,177,252,121
Cube (n³)
901,459,490,498,659,331
Divisor count
2
σ(n) — sum of divisors
966,012
φ(n) — Euler's totient
966,010

Primality

966,011 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 966011
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 966,011)
1 × 966011
First multiples
966,011 · 1,932,022 (double) · 2,898,033 · 3,864,044 · 4,830,055 · 5,796,066 · 6,762,077 · 7,728,088 · 8,694,099 · 9,660,110

Sums & aliquot sequence

As consecutive integers: 483,005 + 483,006

Continued fraction of √n

√966,011 = [982; (1, 6, 13, 1, 981, 1, 13, 6, 1, 1964)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty-six thousand eleven
Ordinal
966011th
Binary
11101011110101111011
Octal
3536573
Hexadecimal
0xEBD7B
Base64
Dr17
One's complement
4,294,001,284 (32-bit)
Scientific notation
9.66011 × 10⁵
As a duration
966,011 s = 11 days, 4 hours, 20 minutes, 11 seconds
In other bases
ternary (3) 1211002010012
quaternary (4) 3223311323
quinary (5) 221403021
senary (6) 32412135
septenary (7) 11132234
nonary (9) 1732105
undecimal (11) 5aa862
duodecimal (12) 3a704b
tridecimal (13) 27a907
tetradecimal (14) 1b208b
pentadecimal (15) 14135b

As an angle

966,011° = 2,683 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺
Greek (Milesian)
͵ϡξϛιαʹ
Chinese
九十六萬六千零一十一
Chinese (financial)
玖拾陸萬陸仟零壹拾壹
In other modern scripts
Eastern Arabic ٩٦٦٠١١ Devanagari ९६६०११ Bengali ৯৬৬০১১ Tamil ௯௬௬௦௧௧ Thai ๙๖๖๐๑๑ Tibetan ༩༦༦༠༡༡ Khmer ៩៦៦០១១ Lao ໙໖໖໐໑໑ Burmese ၉၆၆၀၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 966013.

Hex color
#0EBD7B
RGB(14, 189, 123)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.189.123.

Address
0.14.189.123
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.189.123

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 966,011 and was likely granted around 1910.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 966011 first appears in π at position 465,919 of the decimal expansion (the 465,919ordinal-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.

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.