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997,309

997,309 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.).

997,309 (nine hundred ninety-seven thousand three hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF37BD.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
37
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
903,799
Square (n²)
994,625,241,481
Cube (n³)
991,948,704,956,174,629
Divisor count
2
σ(n) — sum of divisors
997,310
φ(n) — Euler's totient
997,308

Primality

997,309 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997309
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,309)
1 × 997309
First multiples
997,309 · 1,994,618 (double) · 2,991,927 · 3,989,236 · 4,986,545 · 5,983,854 · 6,981,163 · 7,978,472 · 8,975,781 · 9,973,090

Sums & aliquot sequence

As a sum of two squares: 453² + 890²
As consecutive integers: 498,654 + 498,655

Continued fraction of √n

√997,309 = [998; (1, 1, 1, 7, 1, 4, 1, 35, 2, 15, 1, 2, 1, 12, 7, 6, 3, 9, 1, 12, 1, 1, 2, 4, …)]

Representations

In words
nine hundred ninety-seven thousand three hundred nine
Ordinal
997309th
Binary
11110011011110111101
Octal
3633675
Hexadecimal
0xF37BD
Base64
Dze9
One's complement
4,293,969,986 (32-bit)
Scientific notation
9.97309 × 10⁵
As a duration
997,309 s = 11 days, 13 hours, 1 minute, 49 seconds
In other bases
ternary (3) 1212200001101
quaternary (4) 3303132331
quinary (5) 223403214
senary (6) 33213101
septenary (7) 11322415
nonary (9) 1780041
undecimal (11) 621325
duodecimal (12) 401191
tridecimal (13) 28bc31
tetradecimal (14) 1bd645
pentadecimal (15) 14a774

As an angle

997,309° = 2,770 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟζτθʹ
Chinese
九十九萬七千三百零九
Chinese (financial)
玖拾玖萬柒仟參佰零玖
In other modern scripts
Eastern Arabic ٩٩٧٣٠٩ Devanagari ९९७३०९ Bengali ৯৯৭৩০৯ Tamil ௯௯௭௩௦௯ Thai ๙๙๗๓๐๙ Tibetan ༩༩༧༣༠༩ Khmer ៩៩៧៣០៩ Lao ໙໙໗໓໐໙ Burmese ၉၉၇၃၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 997307.

Hex color
#0F37BD
RGB(15, 55, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.55.189.

Address
0.15.55.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.55.189

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 997,309 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 997309 first appears in π at position 91,618 of the decimal expansion (the 91,618ordinal-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.