number.wiki
Live analysis

1,032,221

1,032,221 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.).

1,032,221 (one million thirty-two 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, 0xFC01D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,222,301
Recamán's sequence
a(381,489) = 1,032,221
Square (n²)
1,065,480,192,841
Cube (n³)
1,099,811,030,134,529,861
Divisor count
2
σ(n) — sum of divisors
1,032,222
φ(n) — Euler's totient
1,032,220

Primality

1,032,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1032221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,032,221)
1 × 1032221
First multiples
1,032,221 · 2,064,442 (double) · 3,096,663 · 4,128,884 · 5,161,105 · 6,193,326 · 7,225,547 · 8,257,768 · 9,289,989 · 10,322,210

Sums & aliquot sequence

As a sum of two squares: 245² + 986²
As consecutive integers: 516,110 + 516,111

Continued fraction of √n

√1,032,221 = [1015; (1, 57, 17, 1, 1, 1, 6, 1, 11, 1, 3, 42, 1, 45, 4, 1, 8, 1, 4, 1, 6, 17, 2, 1, …)]

Representations

In words
one million thirty-two thousand two hundred twenty-one
Ordinal
1032221st
Binary
11111100000000011101
Octal
3740035
Hexadecimal
0xFC01D
Base64
D8Ad
One's complement
4,293,935,074 (32-bit)
Scientific notation
1.032221 × 10⁶
As a duration
1,032,221 s = 11 days, 22 hours, 43 minutes, 41 seconds
In other bases
ternary (3) 1221102221102
quaternary (4) 3330000131
quinary (5) 231012341
senary (6) 34042445
septenary (7) 11526251
nonary (9) 1842842
undecimal (11) 645583
duodecimal (12) 419425
tridecimal (13) 2a1aa8
tetradecimal (14) 1cc261
pentadecimal (15) 155c9b

As an angle

1,032,221° = 2,867 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Chinese
一百零三萬二千二百二十一
Chinese (financial)
壹佰零參萬貳仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٣٢٢٢١ Devanagari १०३२२२१ Bengali ১০৩২২২১ Tamil ௧௦௩௨௨௨௧ Thai ๑๐๓๒๒๒๑ Tibetan ༡༠༣༢༢༢༡ Khmer ១០៣២២២១ Lao ໑໐໓໒໒໒໑ Burmese ၁၀၃၂၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FC01D
RGB(15, 192, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.192.29.

Address
0.15.192.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.192.29

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 3, 2221 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2221-03-01 (DMMYYYY (Euro, single-digit day))
  • 2221-10-03 (MMDYYYY (US, single-digit day))
  • 2221-03-10 (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 1,032,221 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.