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1,041,041

1,041,041 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.).

1,041,041 (one million forty-one thousand forty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFE291.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean 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
1,401,401
Square (n²)
1,083,766,363,681
Cube (n³)
1,128,245,219,012,831,921
Divisor count
2
σ(n) — sum of divisors
1,041,042
φ(n) — Euler's totient
1,041,040

Primality

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

Divisors & multiples

All divisors (2)
1 · 1041041
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,041,041)
1 × 1041041
First multiples
1,041,041 · 2,082,082 (double) · 3,123,123 · 4,164,164 · 5,205,205 · 6,246,246 · 7,287,287 · 8,328,328 · 9,369,369 · 10,410,410

Sums & aliquot sequence

As a sum of two squares: 104² + 1,015²
As consecutive integers: 520,520 + 520,521

Continued fraction of √n

√1,041,041 = [1020; (3, 5, 2, 6, 2, 3, 2, 5, 1, 3, 1, 1, 1, 3, 1, 1, 5, 1, 4, 2, 4, 1, 3, 1, …)]

Representations

In words
one million forty-one thousand forty-one
Ordinal
1041041st
Binary
11111110001010010001
Octal
3761221
Hexadecimal
0xFE291
Base64
D+KR
One's complement
4,293,926,254 (32-bit)
Scientific notation
1.041041 × 10⁶
As a duration
1,041,041 s = 12 days, 1 hour, 10 minutes, 41 seconds
In other bases
ternary (3) 1221220001002
quaternary (4) 3332022101
quinary (5) 231303131
senary (6) 34151345
septenary (7) 11564051
nonary (9) 1856032
undecimal (11) 651171
duodecimal (12) 422555
tridecimal (13) 2a5b01
tetradecimal (14) 1d1561
pentadecimal (15) 1586cb

As an angle

1,041,041° = 2,891 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓏺
Chinese
一百零四萬一千零四十一
Chinese (financial)
壹佰零肆萬壹仟零肆拾壹
In other modern scripts
Eastern Arabic ١٠٤١٠٤١ Devanagari १०४१०४१ Bengali ১০৪১০৪১ Tamil ௧௦௪௧௦௪௧ Thai ๑๐๔๑๐๔๑ Tibetan ༡༠༤༡༠༤༡ Khmer ១០៤១០៤១ Lao ໑໐໔໑໐໔໑ Burmese ၁၀၄၁၀၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FE291
RGB(15, 226, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.226.145.

Address
0.15.226.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.226.145

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 1041 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1041-04-01 (DMMYYYY (Euro, single-digit day))
  • 1041-10-04 (MMDYYYY (US, single-digit day))
  • 1041-04-10 (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 1,041,041 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.