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1,017,041

1,017,041 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.).

1,017,041 (one million seventeen 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, 0xF84D1.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
1,407,101
Square (n²)
1,034,372,395,681
Cube (n³)
1,051,999,135,675,799,921
Divisor count
2
σ(n) — sum of divisors
1,017,042
φ(n) — Euler's totient
1,017,040

Primality

1,017,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1017041
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,017,041)
1 × 1017041
First multiples
1,017,041 · 2,034,082 (double) · 3,051,123 · 4,068,164 · 5,085,205 · 6,102,246 · 7,119,287 · 8,136,328 · 9,153,369 · 10,170,410

Sums & aliquot sequence

As a sum of two squares: 95² + 1,004²
As consecutive integers: 508,520 + 508,521

Continued fraction of √n

√1,017,041 = [1008; (2, 15, 1, 1, 1, 2, 1, 16, 4, 2, 36, 4, 2, 2, 6, 1, 12, 2, 2, 8, 2, 13, 1, 1, …)]

Representations

In words
one million seventeen thousand forty-one
Ordinal
1017041st
Binary
11111000010011010001
Octal
3702321
Hexadecimal
0xF84D1
Base64
D4TR
One's complement
4,293,950,254 (32-bit)
Scientific notation
1.017041 × 10⁶
As a duration
1,017,041 s = 11 days, 18 hours, 30 minutes, 41 seconds
In other bases
ternary (3) 1220200010012
quaternary (4) 3320103101
quinary (5) 230021131
senary (6) 33444305
septenary (7) 11434064
nonary (9) 1820105
undecimal (11) 635133
duodecimal (12) 410695
tridecimal (13) 297bcc
tetradecimal (14) 1c68db
pentadecimal (15) 15152b

As an angle

1,017,041° = 2,825 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺
Chinese
一百零一萬七千零四十一
Chinese (financial)
壹佰零壹萬柒仟零肆拾壹
In other modern scripts
Eastern Arabic ١٠١٧٠٤١ Devanagari १०१७०४१ Bengali ১০১৭০৪১ Tamil ௧௦௧௭௦௪௧ Thai ๑๐๑๗๐๔๑ Tibetan ༡༠༡༧༠༤༡ Khmer ១០១៧០៤១ Lao ໑໐໑໗໐໔໑ Burmese ၁၀၁၇၀၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1017043.

Hex color
#0F84D1
RGB(15, 132, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.132.209.

Address
0.15.132.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.132.209

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 7041 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 7041-10-01 (MMDYYYY (US, single-digit day))
  • 7041-01-10 (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 1,017,041 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.