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1,017,997

1,017,997 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.).

1,017,997 (one million seventeen thousand nine hundred ninety-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF888D.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
34
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
7,997,101
Square (n²)
1,036,317,892,009
Cube (n³)
1,054,968,505,111,485,973
Divisor count
2
σ(n) — sum of divisors
1,017,998
φ(n) — Euler's totient
1,017,996

Primality

1,017,997 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1017997
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,017,997)
1 × 1017997
First multiples
1,017,997 · 2,035,994 (double) · 3,053,991 · 4,071,988 · 5,089,985 · 6,107,982 · 7,125,979 · 8,143,976 · 9,161,973 · 10,179,970

Sums & aliquot sequence

As a sum of two squares: 526² + 861²
As consecutive integers: 508,998 + 508,999

Continued fraction of √n

√1,017,997 = [1008; (1, 23, 42, 1, 8, 3, 9, 1, 4, 1, 1, 11, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 3, …)]

Representations

In words
one million seventeen thousand nine hundred ninety-seven
Ordinal
1017997th
Binary
11111000100010001101
Octal
3704215
Hexadecimal
0xF888D
Base64
D4iN
One's complement
4,293,949,298 (32-bit)
Scientific notation
1.017997 × 10⁶
As a duration
1,017,997 s = 11 days, 18 hours, 46 minutes, 37 seconds
In other bases
ternary (3) 1220201102121
quaternary (4) 3320202031
quinary (5) 230033442
senary (6) 33452541
septenary (7) 11436631
nonary (9) 1821377
undecimal (11) 635922
duodecimal (12) 411151
tridecimal (13) 298486
tetradecimal (14) 1c6dc1
pentadecimal (15) 151967

As an angle

1,017,997° = 2,827 × 360° + 277°
277° ≈ 4.835 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬七千九百九十七
Chinese (financial)
壹佰零壹萬柒仟玖佰玖拾柒
In other modern scripts
Eastern Arabic ١٠١٧٩٩٧ Devanagari १०१७९९७ Bengali ১০১৭৯৯৭ Tamil ௧௦௧௭௯௯௭ Thai ๑๐๑๗๙๙๗ Tibetan ༡༠༡༧༩༩༧ Khmer ១០១៧៩៩៧ Lao ໑໐໑໗໙໙໗ Burmese ၁၀၁၇၉၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F888D
RGB(15, 136, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.136.141.

Address
0.15.136.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.136.141

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 7997 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 7997-10-01 (MMDYYYY (US, single-digit day))
  • 7997-01-10 (DDMYYYY (Euro, single-digit month))
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 1,017,997 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.