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1,041,221

1,041,221 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.).

1,041,221 (one million forty-one 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, 0xFE345.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,221,401
Square (n²)
1,084,141,170,841
Cube (n³)
1,128,830,554,044,236,861
Divisor count
2
σ(n) — sum of divisors
1,041,222
φ(n) — Euler's totient
1,041,220

Primality

1,041,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1041221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,041,221)
1 × 1041221
First multiples
1,041,221 · 2,082,442 (double) · 3,123,663 · 4,164,884 · 5,206,105 · 6,247,326 · 7,288,547 · 8,329,768 · 9,370,989 · 10,412,210

Sums & aliquot sequence

As a sum of two squares: 614² + 815²
As consecutive integers: 520,610 + 520,611

Continued fraction of √n

√1,041,221 = [1020; (2, 2, 16, 2, 6, 1, 7, 2, 101, 1, 1, 3, 15, 3, 2, 2, 3, 6, 2, 1, 1, 19, 1, 4, …)]

Representations

In words
one million forty-one thousand two hundred twenty-one
Ordinal
1041221st
Binary
11111110001101000101
Octal
3761505
Hexadecimal
0xFE345
Base64
D+NF
One's complement
4,293,926,074 (32-bit)
Scientific notation
1.041221 × 10⁶
As a duration
1,041,221 s = 12 days, 1 hour, 13 minutes, 41 seconds
In other bases
ternary (3) 1221220021202
quaternary (4) 3332031011
quinary (5) 231304341
senary (6) 34152245
septenary (7) 11564426
nonary (9) 1856252
undecimal (11) 651315
duodecimal (12) 422685
tridecimal (13) 2a5c0c
tetradecimal (14) 1d164d
pentadecimal (15) 15879b

As an angle

1,041,221° = 2,892 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓏺
Chinese
一百零四萬一千二百二十一
Chinese (financial)
壹佰零肆萬壹仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٤١٢٢١ Devanagari १०४१२२१ Bengali ১০৪১২২১ Tamil ௧௦௪௧௨௨௧ Thai ๑๐๔๑๒๒๑ Tibetan ༡༠༤༡༢༢༡ Khmer ១០៤១២២១ Lao ໑໐໔໑໒໒໑ Burmese ၁၀၄၁၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1041223.

Hex color
#0FE345
RGB(15, 227, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.227.69.

Address
0.15.227.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.227.69

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 1221 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1221-04-01 (DMMYYYY (Euro, single-digit day))
  • 1221-10-04 (MMDYYYY (US, single-digit day))
  • 1221-04-10 (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 1,041,221 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.