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1,006,441

1,006,441 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.).

1,006,441 (one million six thousand four hundred forty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5B69.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
1,446,001
Square (n²)
1,012,923,486,481
Cube (n³)
1,019,447,726,657,424,121
Divisor count
2
σ(n) — sum of divisors
1,006,442
φ(n) — Euler's totient
1,006,440

Primality

1,006,441 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1006441
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,006,441)
1 × 1006441
First multiples
1,006,441 · 2,012,882 (double) · 3,019,323 · 4,025,764 · 5,032,205 · 6,038,646 · 7,045,087 · 8,051,528 · 9,057,969 · 10,064,410

Sums & aliquot sequence

As a sum of two squares: 435² + 904²
As consecutive integers: 503,220 + 503,221

Continued fraction of √n

√1,006,441 = [1003; (4, 1, 1, 1, 4, 4, 5, 2, 2, 2, 3, 10, 6, 2, 1, 4, 1, 1, 1, 1, 3, 2, 1, 2, …)]

Representations

In words
one million six thousand four hundred forty-one
Ordinal
1006441st
Binary
11110101101101101001
Octal
3655551
Hexadecimal
0xF5B69
Base64
D1tp
One's complement
4,293,960,854 (32-bit)
Scientific notation
1.006441 × 10⁶
As a duration
1,006,441 s = 11 days, 15 hours, 34 minutes, 1 second
In other bases
ternary (3) 1220010120121
quaternary (4) 3311231221
quinary (5) 224201231
senary (6) 33323241
septenary (7) 11361142
nonary (9) 1803517
undecimal (11) 628177
duodecimal (12) 406521
tridecimal (13) 293137
tetradecimal (14) 1c2ac9
pentadecimal (15) 14d311

As an angle

1,006,441° = 2,795 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Chinese
一百萬六千四百四十一
Chinese (financial)
壹佰萬陸仟肆佰肆拾壹
In other modern scripts
Eastern Arabic ١٠٠٦٤٤١ Devanagari १००६४४१ Bengali ১০০৬৪৪১ Tamil ௧௦௦௬௪௪௧ Thai ๑๐๐๖๔๔๑ Tibetan ༡༠༠༦༤༤༡ Khmer ១០០៦៤៤១ Lao ໑໐໐໖໔໔໑ Burmese ၁၀၀၆၄၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F5B69
RGB(15, 91, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.105.

Address
0.15.91.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.91.105

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 1,006,441 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.