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1,016,221

1,016,221 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.).

1,016,221 (one million sixteen thousand two hundred twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF819D.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
1,226,101
Square (n²)
1,032,705,120,841
Cube (n³)
1,049,456,630,606,161,861
Divisor count
2
σ(n) — sum of divisors
1,016,222
φ(n) — Euler's totient
1,016,220

Primality

1,016,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1016221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,016,221)
1 × 1016221
First multiples
1,016,221 · 2,032,442 (double) · 3,048,663 · 4,064,884 · 5,081,105 · 6,097,326 · 7,113,547 · 8,129,768 · 9,145,989 · 10,162,210

Sums & aliquot sequence

As a sum of two squares: 389² + 930²
As consecutive integers: 508,110 + 508,111

Continued fraction of √n

√1,016,221 = [1008; (12, 1, 5, 3, 2, 1, 25, 1, 4, 1, 7, 2, 3, 9, 1, 1, 4, 1, 5, 1, 2, 2, 1, 1, …)]

Representations

In words
one million sixteen thousand two hundred twenty-one
Ordinal
1016221st
Binary
11111000000110011101
Octal
3700635
Hexadecimal
0xF819D
Base64
D4Gd
One's complement
4,293,951,074 (32-bit)
Scientific notation
1.016221 × 10⁶
As a duration
1,016,221 s = 11 days, 18 hours, 17 minutes, 1 second
In other bases
ternary (3) 1220121222211
quaternary (4) 3320012131
quinary (5) 230004341
senary (6) 33440421
septenary (7) 11431513
nonary (9) 1817884
undecimal (11) 634558
duodecimal (12) 410111
tridecimal (13) 29771b
tetradecimal (14) 1c64b3
pentadecimal (15) 151181

As an angle

1,016,221° = 2,822 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Chinese
一百零一萬六千二百二十一
Chinese (financial)
壹佰零壹萬陸仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٠١٦٢٢١ Devanagari १०१६२२१ Bengali ১০১৬২২১ Tamil ௧௦௧௬௨௨௧ Thai ๑๐๑๖๒๒๑ Tibetan ༡༠༡༦༢༢༡ Khmer ១០១៦២២១ Lao ໑໐໑໖໒໒໑ Burmese ၁၀၁၆၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1016227.

Hex color
#0F819D
RGB(15, 129, 157)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.157.

Address
0.15.129.157
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.129.157

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 6221 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 6221-10-01 (MMDYYYY (US, single-digit day))
  • 6221-01-10 (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 1,016,221 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.