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1,030,021

1,030,021 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.).

1,030,021 (one million thirty 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, 0xFB785.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
1,200,301
Square (n²)
1,060,943,260,441
Cube (n³)
1,092,793,838,062,699,261
Divisor count
2
σ(n) — sum of divisors
1,030,022
φ(n) — Euler's totient
1,030,020

Primality

1,030,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1030021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,030,021)
1 × 1030021
First multiples
1,030,021 · 2,060,042 (double) · 3,090,063 · 4,120,084 · 5,150,105 · 6,180,126 · 7,210,147 · 8,240,168 · 9,270,189 · 10,300,210

Sums & aliquot sequence

As a sum of two squares: 495² + 886²
As consecutive integers: 515,010 + 515,011

Continued fraction of √n

√1,030,021 = [1014; (1, 8, 1, 19, 5, 13, 4, 10, 1, 5, 1, 1, 19, 1, 3, 6, 1, 2, 3, 5, 1, 1, 6, 1, …)]

Representations

In words
one million thirty thousand twenty-one
Ordinal
1030021st
Binary
11111011011110000101
Octal
3733605
Hexadecimal
0xFB785
Base64
D7eF
One's complement
4,293,937,274 (32-bit)
Scientific notation
1.030021 × 10⁶
As a duration
1,030,021 s = 11 days, 22 hours, 7 minutes, 1 second
In other bases
ternary (3) 1221022220221
quaternary (4) 3323132011
quinary (5) 230430041
senary (6) 34024341
septenary (7) 11516656
nonary (9) 1838827
undecimal (11) 643963
duodecimal (12) 4180b1
tridecimal (13) 2a0aa5
tetradecimal (14) 1cb52d
pentadecimal (15) 1552d1

As an angle

1,030,021° = 2,861 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓎆𓎆𓏺
Chinese
一百零三萬零二十一
Chinese (financial)
壹佰零參萬零貳拾壹
In other modern scripts
Eastern Arabic ١٠٣٠٠٢١ Devanagari १०३००२१ Bengali ১০৩০০২১ Tamil ௧௦௩௦௦௨௧ Thai ๑๐๓๐๐๒๑ Tibetan ༡༠༣༠༠༢༡ Khmer ១០៣០០២១ Lao ໑໐໓໐໐໒໑ Burmese ၁၀၃၀၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1030019, sexy with 1030027.

Hex color
#0FB785
RGB(15, 183, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.183.133.

Address
0.15.183.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.183.133

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 3, 0021 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0021-03-01 (DMMYYYY (Euro, single-digit day))
  • 0021-10-03 (MMDYYYY (US, single-digit day))
  • 0021-03-10 (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 1,030,021 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.