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997,991

997,991 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.).

997,991 (nine hundred ninety-seven thousand nine hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3A67.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
44
Digit product
45,927
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
199,799
Square (n²)
995,986,036,081
Cube (n³)
993,985,100,134,513,271
Divisor count
2
σ(n) — sum of divisors
997,992
φ(n) — Euler's totient
997,990

Primality

997,991 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997991
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,991)
1 × 997991
First multiples
997,991 · 1,995,982 (double) · 2,993,973 · 3,991,964 · 4,989,955 · 5,987,946 · 6,985,937 · 7,983,928 · 8,981,919 · 9,979,910

Sums & aliquot sequence

As consecutive integers: 498,995 + 498,996

Continued fraction of √n

√997,991 = [998; (1, 198, 1, 3, 1, 79, 8, 2, 1, 7, 3, 4, 1, 6, 1, 2, 3, 12, 1, 2, 12, 1, 1, 4, …)]

Representations

In words
nine hundred ninety-seven thousand nine hundred ninety-one
Ordinal
997991st
Binary
11110011101001100111
Octal
3635147
Hexadecimal
0xF3A67
Base64
Dzpn
One's complement
4,293,969,304 (32-bit)
Scientific notation
9.97991 × 10⁵
As a duration
997,991 s = 11 days, 13 hours, 13 minutes, 11 seconds
In other bases
ternary (3) 1212200222122
quaternary (4) 3303221213
quinary (5) 223413431
senary (6) 33220155
septenary (7) 11324411
nonary (9) 1780878
undecimal (11) 621895
duodecimal (12) 40165b
tridecimal (13) 28c337
tetradecimal (14) 1bd9b1
pentadecimal (15) 14aa7b

As an angle

997,991° = 2,772 × 360° + 71°
71° ≈ 1.239 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϡϟζϡϟαʹ
Chinese
九十九萬七千九百九十一
Chinese (financial)
玖拾玖萬柒仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ٩٩٧٩٩١ Devanagari ९९७९९१ Bengali ৯৯৭৯৯১ Tamil ௯௯௭௯௯௧ Thai ๙๙๗๙๙๑ Tibetan ༩༩༧༩༩༡ Khmer ៩៩៧៩៩១ Lao ໙໙໗໙໙໑ Burmese ၉၉၇၉၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F3A67
RGB(15, 58, 103)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.103.

Address
0.15.58.103
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.58.103

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 997,991 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 997991 first appears in π at position 161,710 of the decimal expansion (the 161,710ordinal-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.