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997,627

997,627 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.).

997,627 (nine hundred ninety-seven thousand six 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, 0xF38FB.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
40
Digit product
47,628
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
726,799
Square (n²)
995,259,631,129
Cube (n³)
992,897,880,024,330,883
Divisor count
2
σ(n) — sum of divisors
997,628
φ(n) — Euler's totient
997,626

Primality

997,627 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997627
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,627)
1 × 997627
First multiples
997,627 · 1,995,254 (double) · 2,992,881 · 3,990,508 · 4,988,135 · 5,985,762 · 6,983,389 · 7,981,016 · 8,978,643 · 9,976,270

Sums & aliquot sequence

As consecutive integers: 498,813 + 498,814

Continued fraction of √n

√997,627 = [998; (1, 4, 2, 1, 12, 1, 1, 5, 2, 11, 1, 18, 1, 1, 1, 59, 1, 6, 1, 7, 2, 2, 2, 2, …)]

Representations

In words
nine hundred ninety-seven thousand six hundred twenty-seven
Ordinal
997627th
Binary
11110011100011111011
Octal
3634373
Hexadecimal
0xF38FB
Base64
Dzj7
One's complement
4,293,969,668 (32-bit)
Scientific notation
9.97627 × 10⁵
As a duration
997,627 s = 11 days, 13 hours, 7 minutes, 7 seconds
In other bases
ternary (3) 1212200111011
quaternary (4) 3303203323
quinary (5) 223411002
senary (6) 33214351
septenary (7) 11323351
nonary (9) 1780434
undecimal (11) 621594
duodecimal (12) 4013b7
tridecimal (13) 28c117
tetradecimal (14) 1bd7d1
pentadecimal (15) 14a8d7

As an angle

997,627° = 2,771 × 360° + 67°
67° ≈ 1.169 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟζχκζʹ
Chinese
九十九萬七千六百二十七
Chinese (financial)
玖拾玖萬柒仟陸佰貳拾柒
In other modern scripts
Eastern Arabic ٩٩٧٦٢٧ Devanagari ९९७६२७ Bengali ৯৯৭৬২৭ Tamil ௯௯௭௬௨௭ Thai ๙๙๗๖๒๗ Tibetan ༩༩༧༦༢༧ Khmer ៩៩៧៦២៧ Lao ໙໙໗໖໒໗ Burmese ၉၉၇၆၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F38FB
RGB(15, 56, 251)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.56.251.

Address
0.15.56.251
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.56.251

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 997,627 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 997627 first appears in π at position 577,531 of the decimal expansion (the 577,531ordinal-suffix:st 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.