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1,001,041

1,001,041 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.).

1,001,041 (one million 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, 0xF4651.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
1,401,001
Square (n²)
1,002,083,083,681
Cube (n³)
1,003,126,252,171,111,921
Divisor count
2
σ(n) — sum of divisors
1,001,042
φ(n) — Euler's totient
1,001,040

Primality

1,001,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1001041
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,001,041)
1 × 1001041
First multiples
1,001,041 · 2,002,082 (double) · 3,003,123 · 4,004,164 · 5,005,205 · 6,006,246 · 7,007,287 · 8,008,328 · 9,009,369 · 10,010,410

Sums & aliquot sequence

As a sum of two squares: 95² + 996²
As consecutive integers: 500,520 + 500,521

Continued fraction of √n

√1,001,041 = [1000; (1, 1, 11, 1, 3, 2, 7, 2, 1, 2, 7, 1, 27, 3, 3, 2, 1, 11, 1, 4, 4, 105, 12, 2, …)]

Representations

In words
one million one thousand forty-one
Ordinal
1001041st
Binary
11110100011001010001
Octal
3643121
Hexadecimal
0xF4651
Base64
D0ZR
One's complement
4,293,966,254 (32-bit)
Scientific notation
1.001041 × 10⁶
As a duration
1,001,041 s = 11 days, 14 hours, 4 minutes, 1 second
In other bases
ternary (3) 1212212011121
quaternary (4) 3310121101
quinary (5) 224013131
senary (6) 33242241
septenary (7) 11336326
nonary (9) 1785147
undecimal (11) 624108
duodecimal (12) 403381
tridecimal (13) 290842
tetradecimal (14) 1c0b4d
pentadecimal (15) 14b911

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓆼𓎆𓎆𓎆𓎆𓏺
Chinese
一百萬一千零四十一
Chinese (financial)
壹佰萬壹仟零肆拾壹
In other modern scripts
Eastern Arabic ١٠٠١٠٤١ Devanagari १००१०४१ Bengali ১০০১০৪১ Tamil ௧௦௦௧௦௪௧ Thai ๑๐๐๑๐๔๑ Tibetan ༡༠༠༡༠༤༡ Khmer ១០០១០៤១ Lao ໑໐໐໑໐໔໑ Burmese ၁၀၀၁၀၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F4651
RGB(15, 70, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.81.

Address
0.15.70.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.70.81

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

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 1,001,041 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.