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1,022,381

1,022,381 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.).

1,022,381 (one million twenty-two thousand three hundred eighty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF99AD.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
1,832,201
Recamán's sequence
a(371,565) = 1,022,381
Square (n²)
1,045,262,909,161
Cube (n³)
1,068,656,938,330,932,341
Divisor count
2
σ(n) — sum of divisors
1,022,382
φ(n) — Euler's totient
1,022,380

Primality

1,022,381 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1022381
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,022,381)
1 × 1022381
First multiples
1,022,381 · 2,044,762 (double) · 3,067,143 · 4,089,524 · 5,111,905 · 6,134,286 · 7,156,667 · 8,179,048 · 9,201,429 · 10,223,810

Sums & aliquot sequence

As a sum of two squares: 370² + 941²
As consecutive integers: 511,190 + 511,191

Continued fraction of √n

√1,022,381 = [1011; (7, 1, 3, 2, 33, 1, 4, 1, 42, 5, 6, 1, 2, 1, 1, 1, 9, 1, 1, 1, 2, 2, 1, 2, …)]

Representations

In words
one million twenty-two thousand three hundred eighty-one
Ordinal
1022381st
Binary
11111001100110101101
Octal
3714655
Hexadecimal
0xF99AD
Base64
D5mt
One's complement
4,293,944,914 (32-bit)
Scientific notation
1.022381 × 10⁶
As a duration
1,022,381 s = 11 days, 19 hours, 59 minutes, 41 seconds
In other bases
ternary (3) 1220221102222
quaternary (4) 3321212231
quinary (5) 230204011
senary (6) 33525125
septenary (7) 11455463
nonary (9) 1827388
undecimal (11) 639148
duodecimal (12) 4137a5
tridecimal (13) 29a479
tetradecimal (14) 1c8833
pentadecimal (15) 152ddb

As an angle

1,022,381° = 2,839 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零二萬二千三百八十一
Chinese (financial)
壹佰零貳萬貳仟參佰捌拾壹
In other modern scripts
Eastern Arabic ١٠٢٢٣٨١ Devanagari १०२२३८१ Bengali ১০২২৩৮১ Tamil ௧௦௨௨௩௮௧ Thai ๑๐๒๒๓๘๑ Tibetan ༡༠༢༢༣༨༡ Khmer ១០២២៣៨១ Lao ໑໐໒໒໓໘໑ Burmese ၁၀၂၂၃၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1022383, cousin with 1022377.

Hex color
#0F99AD
RGB(15, 153, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.153.173.

Address
0.15.153.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.153.173

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 2381 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2381-02-01 (DMMYYYY (Euro, single-digit day))
  • 2381-10-02 (MMDYYYY (US, single-digit day))
  • 2381-02-10 (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 1,022,381 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.