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1,040,021

1,040,021 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.).

1,040,021 (one million forty 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, 0xFDE95.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
1,200,401
Square (n²)
1,081,643,680,441
Cube (n³)
1,124,932,142,175,929,261
Divisor count
2
σ(n) — sum of divisors
1,040,022
φ(n) — Euler's totient
1,040,020

Primality

1,040,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1040021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,040,021)
1 × 1040021
First multiples
1,040,021 · 2,080,042 (double) · 3,120,063 · 4,160,084 · 5,200,105 · 6,240,126 · 7,280,147 · 8,320,168 · 9,360,189 · 10,400,210

Sums & aliquot sequence

As a sum of two squares: 505² + 886²
As consecutive integers: 520,010 + 520,011

Continued fraction of √n

√1,040,021 = [1019; (1, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 7, 1, 4, 15, 2, 1, 2, 1, 5, 2, 1, …)]

Representations

In words
one million forty thousand twenty-one
Ordinal
1040021st
Binary
11111101111010010101
Octal
3757225
Hexadecimal
0xFDE95
Base64
D96V
One's complement
4,293,927,274 (32-bit)
Scientific notation
1.040021 × 10⁶
As a duration
1,040,021 s = 12 days, 53 minutes, 41 seconds
In other bases
ternary (3) 1221211122022
quaternary (4) 3331322111
quinary (5) 231240041
senary (6) 34142525
septenary (7) 11561063
nonary (9) 1854568
undecimal (11) 650424
duodecimal (12) 421a45
tridecimal (13) 2a54c8
tetradecimal (14) 1d1033
pentadecimal (15) 15824b

As an angle

1,040,021° = 2,888 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓎆𓎆𓏺
Chinese
一百零四萬零二十一
Chinese (financial)
壹佰零肆萬零貳拾壹
In other modern scripts
Eastern Arabic ١٠٤٠٠٢١ Devanagari १०४००२१ Bengali ১০৪০০২১ Tamil ௧௦௪௦௦௨௧ Thai ๑๐๔๐๐๒๑ Tibetan ༡༠༤༠༠༢༡ Khmer ១០៤០០២១ Lao ໑໐໔໐໐໒໑ Burmese ၁၀၄၀၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FDE95
RGB(15, 222, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.149.

Address
0.15.222.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.222.149

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 0021 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0021-04-01 (DMMYYYY (Euro, single-digit day))
  • 0021-10-04 (MMDYYYY (US, single-digit day))
  • 0021-04-10 (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 1,040,021 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.