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1,000,409

1,000,409 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.).

1,000,409 (one million four hundred nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF43D9.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
9,040,001
Square (n²)
1,000,818,167,281
Cube (n³)
1,001,227,501,911,417,929
Divisor count
2
σ(n) — sum of divisors
1,000,410
φ(n) — Euler's totient
1,000,408

Primality

1,000,409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1000409
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,000,409)
1 × 1000409
First multiples
1,000,409 · 2,000,818 (double) · 3,001,227 · 4,001,636 · 5,002,045 · 6,002,454 · 7,002,863 · 8,003,272 · 9,003,681 · 10,004,090

Sums & aliquot sequence

As a sum of two squares: 80² + 997²
As consecutive integers: 500,204 + 500,205

Continued fraction of √n

√1,000,409 = [1000; (4, 1, 8, 7, 1, 2, 32, 2, 4, 7, 1, 5, 2, 1, 1, 4, 1, 2, 1, 1, 1, 11, 1, 3, …)]

Representations

In words
one million four hundred nine
Ordinal
1000409th
Binary
11110100001111011001
Octal
3641731
Hexadecimal
0xF43D9
Base64
D0PZ
One's complement
4,293,966,886 (32-bit)
Scientific notation
1.000409 × 10⁶
As a duration
1,000,409 s = 11 days, 13 hours, 53 minutes, 29 seconds
In other bases
ternary (3) 1212211022012
quaternary (4) 3310033121
quinary (5) 224003114
senary (6) 33235305
septenary (7) 11334434
nonary (9) 1784265
undecimal (11) 623693
duodecimal (12) 402b35
tridecimal (13) 290477
tetradecimal (14) 1c081b
pentadecimal (15) 14b63e

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬零四百零九
Chinese (financial)
壹佰萬零肆佰零玖
In other modern scripts
Eastern Arabic ١٠٠٠٤٠٩ Devanagari १०००४०९ Bengali ১০০০৪০৯ Tamil ௧௦௦௦௪௦௯ Thai ๑๐๐๐๔๐๙ Tibetan ༡༠༠༠༤༠༩ Khmer ១០០០៤០៩ Lao ໑໐໐໐໔໐໙ Burmese ၁၀၀၀၄၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1000403.

Hex color
#0F43D9
RGB(15, 67, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.217.

Address
0.15.67.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.67.217

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 1,000,409 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.