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996,167

996,167 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.).

996,167 (nine hundred ninety-six thousand one 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, 0xF3347.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Lazy Caterer Number Prime Self Number Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
38
Digit product
20,412
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
761,699
Square (n²)
992,348,691,889
Cube (n³)
988,545,019,352,989,463
Divisor count
2
σ(n) — sum of divisors
996,168
φ(n) — Euler's totient
996,166

Primality

996,167 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 996167
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 996,167)
1 × 996167
First multiples
996,167 · 1,992,334 (double) · 2,988,501 · 3,984,668 · 4,980,835 · 5,977,002 · 6,973,169 · 7,969,336 · 8,965,503 · 9,961,670

Sums & aliquot sequence

As consecutive integers: 498,083 + 498,084

Continued fraction of √n

√996,167 = [998; (12, 4, 14, 1, 141, 1, 1, 1, 5, 1, 1, 17, 8, 40, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, …)]

Representations

In words
nine hundred ninety-six thousand one hundred sixty-seven
Ordinal
996167th
Binary
11110011001101000111
Octal
3631507
Hexadecimal
0xF3347
Base64
DzNH
One's complement
4,293,971,128 (32-bit)
Scientific notation
9.96167 × 10⁵
As a duration
996,167 s = 11 days, 12 hours, 42 minutes, 47 seconds
In other bases
ternary (3) 1212121111002
quaternary (4) 3303031013
quinary (5) 223334132
senary (6) 33203515
septenary (7) 11316164
nonary (9) 1777432
undecimal (11) 620487
duodecimal (12) 40059b
tridecimal (13) 28b563
tetradecimal (14) 1bd06b
pentadecimal (15) 14a262

As an angle

996,167° = 2,767 × 360° + 47°
47° ≈ 0.82 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟϛρξζʹ
Chinese
九十九萬六千一百六十七
Chinese (financial)
玖拾玖萬陸仟壹佰陸拾柒
In other modern scripts
Eastern Arabic ٩٩٦١٦٧ Devanagari ९९६१६७ Bengali ৯৯৬১৬৭ Tamil ௯௯௬௧௬௭ Thai ๙๙๖๑๖๗ Tibetan ༩༩༦༡༦༧ Khmer ៩៩៦១៦៧ Lao ໙໙໖໑໖໗ Burmese ၉၉၆၁၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 996169, sexy with 996161.

Hex color
#0F3347
RGB(15, 51, 71)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.51.71.

Address
0.15.51.71
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.51.71

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 996,167 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 996167 first appears in π at position 115,670 of the decimal expansion (the 115,670ordinal-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.