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1,022,141

1,022,141 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.).

1,022,141 (one million twenty-two thousand one hundred forty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF98BD.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,412,201
Recamán's sequence
a(372,045) = 1,022,141
Square (n²)
1,044,772,223,881
Cube (n³)
1,067,904,525,689,949,221
Divisor count
2
σ(n) — sum of divisors
1,022,142
φ(n) — Euler's totient
1,022,140

Primality

1,022,141 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1022141
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,022,141)
1 × 1022141
First multiples
1,022,141 · 2,044,282 (double) · 3,066,423 · 4,088,564 · 5,110,705 · 6,132,846 · 7,154,987 · 8,177,128 · 9,199,269 · 10,221,410

Sums & aliquot sequence

As a sum of two squares: 590² + 821²
As consecutive integers: 511,070 + 511,071

Continued fraction of √n

√1,022,141 = [1011; (101, 9, 1, 19, 3, 8, 16, 17, 1, 4, 1, 19, 5, 3, 5, 7, 3, 1, 1, 1, 21, 1, 1, 2, …)]

Representations

In words
one million twenty-two thousand one hundred forty-one
Ordinal
1022141st
Binary
11111001100010111101
Octal
3714275
Hexadecimal
0xF98BD
Base64
D5i9
One's complement
4,293,945,154 (32-bit)
Scientific notation
1.022141 × 10⁶
As a duration
1,022,141 s = 11 days, 19 hours, 55 minutes, 41 seconds
In other bases
ternary (3) 1220221010002
quaternary (4) 3321202331
quinary (5) 230202031
senary (6) 33524045
septenary (7) 11455001
nonary (9) 1827102
undecimal (11) 638a4a
duodecimal (12) 413625
tridecimal (13) 29a323
tetradecimal (14) 1c8701
pentadecimal (15) 152ccb

As an angle

1,022,141° = 2,839 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺
Chinese
一百零二萬二千一百四十一
Chinese (financial)
壹佰零貳萬貳仟壹佰肆拾壹
In other modern scripts
Eastern Arabic ١٠٢٢١٤١ Devanagari १०२२१४१ Bengali ১০২২১৪১ Tamil ௧௦௨௨௧௪௧ Thai ๑๐๒๒๑๔๑ Tibetan ༡༠༢༢༡༤༡ Khmer ១០២២១៤១ Lao ໑໐໒໒໑໔໑ Burmese ၁၀၂၂၁၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1022137.

Hex color
#0F98BD
RGB(15, 152, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.152.189.

Address
0.15.152.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.152.189

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 2141 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2141-02-01 (DMMYYYY (Euro, single-digit day))
  • 2141-10-02 (MMDYYYY (US, single-digit day))
  • 2141-02-10 (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 1,022,141 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.