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966,013

966,013 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.).

966,013 (nine hundred sixty-six thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xEBD7D.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
310,669
Square (n²)
933,181,116,169
Cube (n³)
901,465,089,573,764,197
Divisor count
2
σ(n) — sum of divisors
966,014
φ(n) — Euler's totient
966,012

Primality

966,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 966013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 966,013)
1 × 966013
First multiples
966,013 · 1,932,026 (double) · 2,898,039 · 3,864,052 · 4,830,065 · 5,796,078 · 6,762,091 · 7,728,104 · 8,694,117 · 9,660,130

Sums & aliquot sequence

As a sum of two squares: 507² + 842²
As consecutive integers: 483,006 + 483,007

Continued fraction of √n

√966,013 = [982; (1, 6, 8, 6, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 49, 1, 1, 1, 1, 2, 1, 3, 1, 6, …)]

Representations

In words
nine hundred sixty-six thousand thirteen
Ordinal
966013th
Binary
11101011110101111101
Octal
3536575
Hexadecimal
0xEBD7D
Base64
Dr19
One's complement
4,294,001,282 (32-bit)
Scientific notation
9.66013 × 10⁵
As a duration
966,013 s = 11 days, 4 hours, 20 minutes, 13 seconds
In other bases
ternary (3) 1211002010021
quaternary (4) 3223311331
quinary (5) 221403023
senary (6) 32412141
septenary (7) 11132236
nonary (9) 1732107
undecimal (11) 5aa864
duodecimal (12) 3a7051
tridecimal (13) 27a909
tetradecimal (14) 1b208d
pentadecimal (15) 14135d

As an angle

966,013° = 2,683 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϡξϛιγʹ
Chinese
九十六萬六千零一十三
Chinese (financial)
玖拾陸萬陸仟零壹拾參
In other modern scripts
Eastern Arabic ٩٦٦٠١٣ Devanagari ९६६०१३ Bengali ৯৬৬০১৩ Tamil ௯௬௬௦௧௩ Thai ๙๖๖๐๑๓ Tibetan ༩༦༦༠༡༣ Khmer ៩៦៦០១៣ Lao ໙໖໖໐໑໓ Burmese ၉၆၆၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 966011.

Hex color
#0EBD7D
RGB(14, 189, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.189.125.

Address
0.14.189.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.189.125

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 966,013 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 966013 first appears in π at position 363,542 of the decimal expansion (the 363,542ordinal-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

  • 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.