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1,011,641

1,011,641 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.).

1,011,641 (one million eleven thousand six hundred forty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF6FB9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
1,461,101
Square (n²)
1,023,417,512,881
Cube (n³)
1,035,331,116,148,447,721
Divisor count
2
σ(n) — sum of divisors
1,011,642
φ(n) — Euler's totient
1,011,640

Primality

1,011,641 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1011641
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,011,641)
1 × 1011641
First multiples
1,011,641 · 2,023,282 (double) · 3,034,923 · 4,046,564 · 5,058,205 · 6,069,846 · 7,081,487 · 8,093,128 · 9,104,769 · 10,116,410

Sums & aliquot sequence

As a sum of two squares: 496² + 875²
As consecutive integers: 505,820 + 505,821

Continued fraction of √n

√1,011,641 = [1005; (1, 4, 10, 1, 2, 1, 2, 1, 5, 1, 1, 2, 1, 11, 1, 5, 1, 8, 1, 3, 2, 1, 35, 4, …)]

Representations

In words
one million eleven thousand six hundred forty-one
Ordinal
1011641st
Binary
11110110111110111001
Octal
3667671
Hexadecimal
0xF6FB9
Base64
D2+5
One's complement
4,293,955,654 (32-bit)
Scientific notation
1.011641 × 10⁶
As a duration
1,011,641 s = 11 days, 17 hours, 41 seconds
In other bases
ternary (3) 1220101201012
quaternary (4) 3312332321
quinary (5) 224333031
senary (6) 33403305
septenary (7) 11412251
nonary (9) 1811635
undecimal (11) 631074
duodecimal (12) 409535
tridecimal (13) 295607
tetradecimal (14) 1c4961
pentadecimal (15) 14eb2b

As an angle

1,011,641° = 2,810 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 · 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Chinese
一百零一萬一千六百四十一
Chinese (financial)
壹佰零壹萬壹仟陸佰肆拾壹
In other modern scripts
Eastern Arabic ١٠١١٦٤١ Devanagari १०११६४१ Bengali ১০১১৬৪১ Tamil ௧௦௧௧௬௪௧ Thai ๑๐๑๑๖๔๑ Tibetan ༡༠༡༡༦༤༡ Khmer ១០១១៦៤១ Lao ໑໐໑໑໖໔໑ Burmese ၁၀၁၁၆၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F6FB9
RGB(15, 111, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.111.185.

Address
0.15.111.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.111.185

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 1641 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1641-10-01 (MMDYYYY (US, single-digit day))
  • 1641-01-10 (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 1,011,641 and was likely granted around 1911.

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.