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1,022,137

1,022,137 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.).

1,022,137 (one million twenty-two thousand one hundred thirty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF98B9.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
7,312,201
Recamán's sequence
a(372,053) = 1,022,137
Square (n²)
1,044,764,046,769
Cube (n³)
1,067,891,988,472,325,353
Divisor count
2
σ(n) — sum of divisors
1,022,138
φ(n) — Euler's totient
1,022,136

Primality

1,022,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1022137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,022,137)
1 × 1022137
First multiples
1,022,137 · 2,044,274 (double) · 3,066,411 · 4,088,548 · 5,110,685 · 6,132,822 · 7,154,959 · 8,177,096 · 9,199,233 · 10,221,370

Sums & aliquot sequence

As a sum of two squares: 4² + 1,011²
As consecutive integers: 511,068 + 511,069

Continued fraction of √n

√1,022,137 = [1011; (126, 2, 1, 1, 1, 30, 1, 31, 7, 1, 6, 1, 1, 7, 1, 1, 10, 1, 8, 3, 7, 1, 3, 1, …)]

Representations

In words
one million twenty-two thousand one hundred thirty-seven
Ordinal
1022137th
Binary
11111001100010111001
Octal
3714271
Hexadecimal
0xF98B9
Base64
D5i5
One's complement
4,293,945,158 (32-bit)
Scientific notation
1.022137 × 10⁶
As a duration
1,022,137 s = 11 days, 19 hours, 55 minutes, 37 seconds
In other bases
ternary (3) 1220221002221
quaternary (4) 3321202321
quinary (5) 230202022
senary (6) 33524041
septenary (7) 11454664
nonary (9) 1827087
undecimal (11) 638a46
duodecimal (12) 413621
tridecimal (13) 29a31c
tetradecimal (14) 1c86db
pentadecimal (15) 152cc7

As an angle

1,022,137° = 2,839 × 360° + 97°
97° ≈ 1.693 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零二萬二千一百三十七
Chinese (financial)
壹佰零貳萬貳仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٠٢٢١٣٧ Devanagari १०२२१३७ Bengali ১০২২১৩৭ Tamil ௧௦௨௨௧௩௭ Thai ๑๐๒๒๑๓๗ Tibetan ༡༠༢༢༡༣༧ Khmer ១០២២១៣៧ Lao ໑໐໒໒໑໓໗ Burmese ၁၀၂၂၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1022141.

Hex color
#0F98B9
RGB(15, 152, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.152.185.

Address
0.15.152.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.152.185

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 2137 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2137-02-01 (DMMYYYY (Euro, single-digit day))
  • 2137-10-02 (MMDYYYY (US, single-digit day))
  • 2137-02-10 (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 1,022,137 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.