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997,327

997,327 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.).

997,327 (nine hundred ninety-seven thousand three hundred twenty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF37CF.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
37
Digit product
23,814
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
723,799
Square (n²)
994,661,144,929
Cube (n³)
992,002,415,688,604,783
Divisor count
2
σ(n) — sum of divisors
997,328
φ(n) — Euler's totient
997,326

Primality

997,327 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997327
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,327)
1 × 997327
First multiples
997,327 · 1,994,654 (double) · 2,991,981 · 3,989,308 · 4,986,635 · 5,983,962 · 6,981,289 · 7,978,616 · 8,975,943 · 9,973,270

Sums & aliquot sequence

As consecutive integers: 498,663 + 498,664

Continued fraction of √n

√997,327 = [998; (1, 1, 1, 26, 1, 2, 3, 1, 2, 1, 2, 2, 4, 1, 1, 2, 1, 1, 31, 8, 4, 1, 1, 25, …)]

Representations

In words
nine hundred ninety-seven thousand three hundred twenty-seven
Ordinal
997327th
Binary
11110011011111001111
Octal
3633717
Hexadecimal
0xF37CF
Base64
DzfP
One's complement
4,293,969,968 (32-bit)
Scientific notation
9.97327 × 10⁵
As a duration
997,327 s = 11 days, 13 hours, 2 minutes, 7 seconds
In other bases
ternary (3) 1212200002001
quaternary (4) 3303133033
quinary (5) 223403302
senary (6) 33213131
septenary (7) 11322442
nonary (9) 1780061
undecimal (11) 621341
duodecimal (12) 4011a7
tridecimal (13) 28bc46
tetradecimal (14) 1bd659
pentadecimal (15) 14a787

As an angle

997,327° = 2,770 × 360° + 127°
127° ≈ 2.217 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟζτκζʹ
Chinese
九十九萬七千三百二十七
Chinese (financial)
玖拾玖萬柒仟參佰貳拾柒
In other modern scripts
Eastern Arabic ٩٩٧٣٢٧ Devanagari ९९७३२७ Bengali ৯৯৭৩২৭ Tamil ௯௯௭௩௨௭ Thai ๙๙๗๓๒๗ Tibetan ༩༩༧༣༢༧ Khmer ៩៩៧៣២៧ Lao ໙໙໗໓໒໗ Burmese ၉၉၇၃၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 997333.

Hex color
#0F37CF
RGB(15, 55, 207)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.55.207.

Address
0.15.55.207
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.55.207

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 997,327 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 997327 first appears in π at position 47,390 of the decimal expansion (the 47,390ordinal-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.