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1,024,021

1,024,021 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.).

1,024,021 (one million twenty-four thousand twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFA015.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
1,204,201
Square (n²)
1,048,619,008,441
Cube (n³)
1,073,807,885,642,761,261
Divisor count
2
σ(n) — sum of divisors
1,024,022
φ(n) — Euler's totient
1,024,020

Primality

1,024,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1024021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,024,021)
1 × 1024021
First multiples
1,024,021 · 2,048,042 (double) · 3,072,063 · 4,096,084 · 5,120,105 · 6,144,126 · 7,168,147 · 8,192,168 · 9,216,189 · 10,240,210

Sums & aliquot sequence

As a sum of two squares: 586² + 825²
As consecutive integers: 512,010 + 512,011

Continued fraction of √n

√1,024,021 = [1011; (1, 15, 2, 5, 33, 1, 1, 4, 1, 1, 1, 1, 11, 4, 2, 1, 1, 4, 12, 20, 1, 3, 1, 1, …)]

Representations

In words
one million twenty-four thousand twenty-one
Ordinal
1024021st
Binary
11111010000000010101
Octal
3720025
Hexadecimal
0xFA015
Base64
D6AV
One's complement
4,293,943,274 (32-bit)
Scientific notation
1.024021 × 10⁶
As a duration
1,024,021 s = 11 days, 20 hours, 27 minutes, 1 second
In other bases
ternary (3) 1221000200201
quaternary (4) 3322000111
quinary (5) 230232041
senary (6) 33540501
septenary (7) 11463325
nonary (9) 1830621
undecimal (11) 63a3a9
duodecimal (12) 414731
tridecimal (13) 29b13b
tetradecimal (14) 1c9285
pentadecimal (15) 153631

As an angle

1,024,021° = 2,844 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Chinese
一百零二萬四千零二十一
Chinese (financial)
壹佰零貳萬肆仟零貳拾壹
In other modern scripts
Eastern Arabic ١٠٢٤٠٢١ Devanagari १०२४०२१ Bengali ১০২৪০২১ Tamil ௧௦௨௪௦௨௧ Thai ๑๐๒๔๐๒๑ Tibetan ༡༠༢༤༠༢༡ Khmer ១០២៤០២១ Lao ໑໐໒໔໐໒໑ Burmese ၁၀၂၄၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FA015
RGB(15, 160, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.21.

Address
0.15.160.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.160.21

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 4021 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4021-02-01 (DMMYYYY (Euro, single-digit day))
  • 4021-10-02 (MMDYYYY (US, single-digit day))
  • 4021-02-10 (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 1,024,021 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.