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996,967

996,967 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.).

996,967 (nine hundred ninety-six thousand nine hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3667.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
46
Digit product
183,708
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
769,699
Square (n²)
993,943,199,089
Cube (n³)
990,928,569,366,163,063
Divisor count
2
σ(n) — sum of divisors
996,968
φ(n) — Euler's totient
996,966

Primality

996,967 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 996967
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 996,967)
1 × 996967
First multiples
996,967 · 1,993,934 (double) · 2,990,901 · 3,987,868 · 4,984,835 · 5,981,802 · 6,978,769 · 7,975,736 · 8,972,703 · 9,969,670

Sums & aliquot sequence

As consecutive integers: 498,483 + 498,484

Continued fraction of √n

√996,967 = [998; (2, 13, 1, 1, 1, 29, 1, 1, 2, 22, 25, 1, 1, 3, 1, 5, 1, 2, 5, 1, 13, 8, 5, 1, …)]

Representations

In words
nine hundred ninety-six thousand nine hundred sixty-seven
Ordinal
996967th
Binary
11110011011001100111
Octal
3633147
Hexadecimal
0xF3667
Base64
DzZn
One's complement
4,293,970,328 (32-bit)
Scientific notation
9.96967 × 10⁵
As a duration
996,967 s = 11 days, 12 hours, 56 minutes, 7 seconds
In other bases
ternary (3) 1212122120201
quaternary (4) 3303121213
quinary (5) 223400332
senary (6) 33211331
septenary (7) 11321416
nonary (9) 1778521
undecimal (11) 621044
duodecimal (12) 400b47
tridecimal (13) 28ba2a
tetradecimal (14) 1bd47d
pentadecimal (15) 14a5e7

As an angle

996,967° = 2,769 × 360° + 127°
127° ≈ 2.217 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟϛϡξζʹ
Chinese
九十九萬六千九百六十七
Chinese (financial)
玖拾玖萬陸仟玖佰陸拾柒
In other modern scripts
Eastern Arabic ٩٩٦٩٦٧ Devanagari ९९६९६७ Bengali ৯৯৬৯৬৭ Tamil ௯௯௬௯௬௭ Thai ๙๙๖๙๖๗ Tibetan ༩༩༦༩༦༧ Khmer ៩៩៦៩៦៧ Lao ໙໙໖໙໖໗ Burmese ၉၉၆၉၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 996973.

Hex color
#0F3667
RGB(15, 54, 103)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.54.103.

Address
0.15.54.103
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.54.103

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 996,967 and was likely granted around 1911.

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

Position in π

The digit sequence 996967 first appears in π at position 332,203 of the decimal expansion (the 332,203ordinal-suffix:rd 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.