number.wiki
Live analysis

1,021,331

1,021,331 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.).

1,021,331 (one million twenty-one thousand three hundred thirty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF9593.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,331,201
Square (n²)
1,043,117,011,561
Cube (n³)
1,065,367,740,534,607,691
Divisor count
2
σ(n) — sum of divisors
1,021,332
φ(n) — Euler's totient
1,021,330

Primality

1,021,331 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1021331
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,021,331)
1 × 1021331
First multiples
1,021,331 · 2,042,662 (double) · 3,063,993 · 4,085,324 · 5,106,655 · 6,127,986 · 7,149,317 · 8,170,648 · 9,191,979 · 10,213,310

Sums & aliquot sequence

As consecutive integers: 510,665 + 510,666

Continued fraction of √n

√1,021,331 = [1010; (1, 1, 1, 1, 3, 1, 2, 1, 4, 5, 6, 1, 1, 1, 15, 3, 1, 3, 1, 1, 12, 2, 12, 1, …)]

Representations

In words
one million twenty-one thousand three hundred thirty-one
Ordinal
1021331st
Binary
11111001010110010011
Octal
3712623
Hexadecimal
0xF9593
Base64
D5WT
One's complement
4,293,945,964 (32-bit)
Scientific notation
1.021331 × 10⁶
As a duration
1,021,331 s = 11 days, 19 hours, 42 minutes, 11 seconds
In other bases
ternary (3) 1220220000002
quaternary (4) 3321112103
quinary (5) 230140311
senary (6) 33520215
septenary (7) 11452433
nonary (9) 1826002
undecimal (11) 638383
duodecimal (12) 41306b
tridecimal (13) 299b4c
tetradecimal (14) 1c82c3
pentadecimal (15) 15293b

As an angle

1,021,331° = 2,837 × 360° + 11°
11° ≈ 0.192 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Chinese
一百零二萬一千三百三十一
Chinese (financial)
壹佰零貳萬壹仟參佰參拾壹
In other modern scripts
Eastern Arabic ١٠٢١٣٣١ Devanagari १०२१३३१ Bengali ১০২১৩৩১ Tamil ௧௦௨௧௩௩௧ Thai ๑๐๒๑๓๓๑ Tibetan ༡༠༢༡༣༣༡ Khmer ១០២១៣៣១ Lao ໑໐໒໑໓໓໑ Burmese ၁၀၂၁၃၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1021333, cousin with 1021327.

Hex color
#0F9593
RGB(15, 149, 147)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.149.147.

Address
0.15.149.147
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.149.147

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 1331 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1331-02-01 (DMMYYYY (Euro, single-digit day))
  • 1331-10-02 (MMDYYYY (US, single-digit day))
  • 1331-02-10 (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 1,021,331 and was likely granted around 1912.

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.