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997,163

997,163 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.).

997,163 (nine hundred ninety-seven thousand one hundred sixty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF372B.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
35
Digit product
10,206
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
361,799
Square (n²)
994,334,048,569
Cube (n³)
991,513,122,873,209,747
Divisor count
2
σ(n) — sum of divisors
997,164
φ(n) — Euler's totient
997,162

Primality

997,163 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997163
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,163)
1 × 997163
First multiples
997,163 · 1,994,326 (double) · 2,991,489 · 3,988,652 · 4,985,815 · 5,982,978 · 6,980,141 · 7,977,304 · 8,974,467 · 9,971,630

Sums & aliquot sequence

As consecutive integers: 498,581 + 498,582

Continued fraction of √n

√997,163 = [998; (1, 1, 2, 1, 1, 1, 1, 6, 4, 1, 11, 6, 1, 1, 8, 3, 2, 1, 9, 1, 1, 2, 9, 14, …)]

Representations

In words
nine hundred ninety-seven thousand one hundred sixty-three
Ordinal
997163rd
Binary
11110011011100101011
Octal
3633453
Hexadecimal
0xF372B
Base64
Dzcr
One's complement
4,293,970,132 (32-bit)
Scientific notation
9.97163 × 10⁵
As a duration
997,163 s = 11 days, 12 hours, 59 minutes, 23 seconds
In other bases
ternary (3) 1212122211222
quaternary (4) 3303130223
quinary (5) 223402123
senary (6) 33212255
septenary (7) 11322116
nonary (9) 1778758
undecimal (11) 621202
duodecimal (12) 40108b
tridecimal (13) 28bb4b
tetradecimal (14) 1bd57d
pentadecimal (15) 14a6c8

As an angle

997,163° = 2,769 × 360° + 323°
323° ≈ 5.637 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟζρξγʹ
Chinese
九十九萬七千一百六十三
Chinese (financial)
玖拾玖萬柒仟壹佰陸拾參
In other modern scripts
Eastern Arabic ٩٩٧١٦٣ Devanagari ९९७१६३ Bengali ৯৯৭১৬৩ Tamil ௯௯௭௧௬௩ Thai ๙๙๗๑๖๓ Tibetan ༩༩༧༡༦༣ Khmer ៩៩៧១៦៣ Lao ໙໙໗໑໖໓ Burmese ၉၉၇၁၆၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F372B
RGB(15, 55, 43)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.55.43.

Address
0.15.55.43
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.55.43

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 997,163 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 997163 first appears in π at position 837,344 of the decimal expansion (the 837,344ordinal-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.