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1,021,661

1,021,661 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.).

1,021,661 (one million twenty-one thousand six 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, 0xF96DD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
1,661,201
Square (n²)
1,043,791,198,921
Cube (n³)
1,066,400,760,080,827,781
Divisor count
2
σ(n) — sum of divisors
1,021,662
φ(n) — Euler's totient
1,021,660

Primality

1,021,661 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1021661
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,021,661)
1 × 1021661
First multiples
1,021,661 · 2,043,322 (double) · 3,064,983 · 4,086,644 · 5,108,305 · 6,129,966 · 7,151,627 · 8,173,288 · 9,194,949 · 10,216,610

Sums & aliquot sequence

As a sum of two squares: 506² + 875²
As consecutive integers: 510,830 + 510,831

Continued fraction of √n

√1,021,661 = [1010; (1, 3, 2, 1, 1, 7, 1, 1, 1, 16, 1, 3, 2, 2, 1, 2, 1, 5, 2, 1, 1, 1, 7, 2, …)]

Representations

In words
one million twenty-one thousand six hundred sixty-one
Ordinal
1021661st
Binary
11111001011011011101
Octal
3713335
Hexadecimal
0xF96DD
Base64
D5bd
One's complement
4,293,945,634 (32-bit)
Scientific notation
1.021661 × 10⁶
As a duration
1,021,661 s = 11 days, 19 hours, 47 minutes, 41 seconds
In other bases
ternary (3) 1220220110022
quaternary (4) 3321123131
quinary (5) 230143121
senary (6) 33521525
septenary (7) 11453414
nonary (9) 1826408
undecimal (11) 638653
duodecimal (12) 4132a5
tridecimal (13) 29a044
tetradecimal (14) 1c847b
pentadecimal (15) 152aab

As an angle

1,021,661° = 2,837 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零二萬一千六百六十一
Chinese (financial)
壹佰零貳萬壹仟陸佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٢١٦٦١ Devanagari १०२१६६१ Bengali ১০২১৬৬১ Tamil ௧௦௨௧௬௬௧ Thai ๑๐๒๑๖๖๑ Tibetan ༡༠༢༡༦༦༡ Khmer ១០២១៦៦១ Lao ໑໐໒໑໖໖໑ Burmese ၁၀၂၁၆၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1021663.

Hex color
#0F96DD
RGB(15, 150, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.150.221.

Address
0.15.150.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.150.221

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 1661 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1661-02-01 (DMMYYYY (Euro, single-digit day))
  • 1661-10-02 (MMDYYYY (US, single-digit day))
  • 1661-02-10 (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 1,021,661 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.