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1,021,961

1,021,961 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.).

1,021,961 (one million twenty-one thousand nine hundred sixty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF9809.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,691,201
Square (n²)
1,044,404,285,521
Cube (n³)
1,067,340,448,035,326,681
Divisor count
2
σ(n) — sum of divisors
1,021,962
φ(n) — Euler's totient
1,021,960

Primality

1,021,961 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1021961
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,021,961)
1 × 1021961
First multiples
1,021,961 · 2,043,922 (double) · 3,065,883 · 4,087,844 · 5,109,805 · 6,131,766 · 7,153,727 · 8,175,688 · 9,197,649 · 10,219,610

Sums & aliquot sequence

As a sum of two squares: 419² + 920²
As consecutive integers: 510,980 + 510,981

Continued fraction of √n

√1,021,961 = [1010; (1, 11, 1, 1, 1, 3, 12, 1, 1, 1, 1, 8, 8, 1, 19, 7, 1, 4, 2, 5, 1, 1, 2, 1, …)]

Representations

In words
one million twenty-one thousand nine hundred sixty-one
Ordinal
1021961st
Binary
11111001100000001001
Octal
3714011
Hexadecimal
0xF9809
Base64
D5gJ
One's complement
4,293,945,334 (32-bit)
Scientific notation
1.021961 × 10⁶
As a duration
1,021,961 s = 11 days, 19 hours, 52 minutes, 41 seconds
In other bases
ternary (3) 1220220212102
quaternary (4) 3321200021
quinary (5) 230200321
senary (6) 33523145
septenary (7) 11454323
nonary (9) 1826772
undecimal (11) 6388a6
duodecimal (12) 4134b5
tridecimal (13) 29a215
tetradecimal (14) 1c8613
pentadecimal (15) 152c0b

As an angle

1,021,961° = 2,838 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零二萬一千九百六十一
Chinese (financial)
壹佰零貳萬壹仟玖佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٢١٩٦١ Devanagari १०२१९६१ Bengali ১০২১৯৬১ Tamil ௧௦௨௧௯௬௧ Thai ๑๐๒๑๙๖๑ Tibetan ༡༠༢༡༩༦༡ Khmer ១០២១៩៦១ Lao ໑໐໒໑໙໖໑ Burmese ၁၀၂၁၉၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1021963.

Hex color
#0F9809
RGB(15, 152, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.152.9.

Address
0.15.152.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.152.9

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 1961 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1961-02-01 (DMMYYYY (Euro, single-digit day))
  • 1961-10-02 (MMDYYYY (US, single-digit day))
  • 1961-02-10 (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 1,021,961 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.