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1,023,821

1,023,821 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.).

1,023,821 (one million twenty-three thousand eight hundred twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF9F4D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
1,283,201
Square (n²)
1,048,209,440,041
Cube (n³)
1,073,178,837,112,216,661
Divisor count
2
σ(n) — sum of divisors
1,023,822
φ(n) — Euler's totient
1,023,820

Primality

1,023,821 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1023821
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,023,821)
1 × 1023821
First multiples
1,023,821 · 2,047,642 (double) · 3,071,463 · 4,095,284 · 5,119,105 · 6,142,926 · 7,166,747 · 8,190,568 · 9,214,389 · 10,238,210

Sums & aliquot sequence

As a sum of two squares: 61² + 1,010²
As consecutive integers: 511,910 + 511,911

Continued fraction of √n

√1,023,821 = [1011; (1, 5, 3, 1, 3, 4, 1, 1, 1, 2, 1, 2, 1, 3, 4, 2, 1, 2, 9, 1, 20, 2, 1, 1, …)]

Representations

In words
one million twenty-three thousand eight hundred twenty-one
Ordinal
1023821st
Binary
11111001111101001101
Octal
3717515
Hexadecimal
0xF9F4D
Base64
D59N
One's complement
4,293,943,474 (32-bit)
Scientific notation
1.023821 × 10⁶
As a duration
1,023,821 s = 11 days, 20 hours, 23 minutes, 41 seconds
In other bases
ternary (3) 1221000102022
quaternary (4) 3321331031
quinary (5) 230230241
senary (6) 33535525
septenary (7) 11462621
nonary (9) 1830368
undecimal (11) 63a237
duodecimal (12) 4145a5
tridecimal (13) 29b016
tetradecimal (14) 1c9181
pentadecimal (15) 15354b

As an angle

1,023,821° = 2,843 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Chinese
一百零二萬三千八百二十一
Chinese (financial)
壹佰零貳萬參仟捌佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٢٣٨٢١ Devanagari १०२३८२१ Bengali ১০২৩৮২১ Tamil ௧௦௨௩௮௨௧ Thai ๑๐๒๓๘๒๑ Tibetan ༡༠༢༣༨༢༡ Khmer ១០២៣៨២១ Lao ໑໐໒໓໘໒໑ Burmese ၁၀၂၃၈၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F9F4D
RGB(15, 159, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.159.77.

Address
0.15.159.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.159.77

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 3821 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3821-02-01 (DMMYYYY (Euro, single-digit day))
  • 3821-10-02 (MMDYYYY (US, single-digit day))
  • 3821-02-10 (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 1,023,821 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.