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1,042,021

1,042,021 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.).

1,042,021 (one million forty-two 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, 0xFE665.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious 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
1,202,401
Square (n²)
1,085,807,764,441
Cube (n³)
1,131,434,492,510,575,261
Divisor count
2
σ(n) — sum of divisors
1,042,022
φ(n) — Euler's totient
1,042,020

Primality

1,042,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1042021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,042,021)
1 × 1042021
First multiples
1,042,021 · 2,084,042 (double) · 3,126,063 · 4,168,084 · 5,210,105 · 6,252,126 · 7,294,147 · 8,336,168 · 9,378,189 · 10,420,210

Sums & aliquot sequence

As a sum of two squares: 386² + 945²
As consecutive integers: 521,010 + 521,011

Continued fraction of √n

√1,042,021 = [1020; (1, 3, 1, 6, 4, 1, 1, 1, 2, 1, 3, 18, 8, 21, 2, 1, 2, 1, 2, 2, 2, 1, 26, 6, …)]

Representations

In words
one million forty-two thousand twenty-one
Ordinal
1042021st
Binary
11111110011001100101
Octal
3763145
Hexadecimal
0xFE665
Base64
D+Zl
One's complement
4,293,925,274 (32-bit)
Scientific notation
1.042021 × 10⁶
As a duration
1,042,021 s = 12 days, 1 hour, 27 minutes, 1 second
In other bases
ternary (3) 1221221101101
quaternary (4) 3332121211
quinary (5) 231321041
senary (6) 34200101
septenary (7) 11566651
nonary (9) 1857341
undecimal (11) 651982
duodecimal (12) 423031
tridecimal (13) 2a63a6
tetradecimal (14) 1d1a61
pentadecimal (15) 158b31

As an angle

1,042,021° = 2,894 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓏺
Chinese
一百零四萬二千零二十一
Chinese (financial)
壹佰零肆萬貳仟零貳拾壹
In other modern scripts
Eastern Arabic ١٠٤٢٠٢١ Devanagari १०४२०२१ Bengali ১০৪২০২১ Tamil ௧௦௪௨௦௨௧ Thai ๑๐๔๒๐๒๑ Tibetan ༡༠༤༢༠༢༡ Khmer ១០៤២០២១ Lao ໑໐໔໒໐໒໑ Burmese ၁၀၄၂၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FE665
RGB(15, 230, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.230.101.

Address
0.15.230.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.230.101

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 2021 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2021-04-01 (DMMYYYY (Euro, single-digit day))
  • 2021-10-04 (MMDYYYY (US, single-digit day))
  • 2021-04-10 (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 1,042,021 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.