number.wiki
Live analysis

1,004,209

1,004,209 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.).

1,004,209 (one million four thousand two hundred nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF52B1.

Arithmetic Number Cube-Free Deficient 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
9,024,001
Square (n²)
1,008,435,715,681
Cube (n³)
1,012,680,221,608,301,329
Divisor count
2
σ(n) — sum of divisors
1,004,210
φ(n) — Euler's totient
1,004,208

Primality

1,004,209 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1004209
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,004,209)
1 × 1004209
First multiples
1,004,209 · 2,008,418 (double) · 3,012,627 · 4,016,836 · 5,021,045 · 6,025,254 · 7,029,463 · 8,033,672 · 9,037,881 · 10,042,090

Sums & aliquot sequence

As a sum of two squares: 697² + 720²
As consecutive integers: 502,104 + 502,105

Continued fraction of √n

√1,004,209 = [1002; (9, 1, 3, 2, 6, 1, 20, 87, 10, 1, 15, 1, 3, 1, 4, 1, 1, 4, 1, 4, 1, 2, 1, 24, …)]

Representations

In words
one million four thousand two hundred nine
Ordinal
1004209th
Binary
11110101001010110001
Octal
3651261
Hexadecimal
0xF52B1
Base64
D1Kx
One's complement
4,293,963,086 (32-bit)
Scientific notation
1.004209 × 10⁶
As a duration
1,004,209 s = 11 days, 14 hours, 56 minutes, 49 seconds
In other bases
ternary (3) 1220000111221
quaternary (4) 3311022301
quinary (5) 224113314
senary (6) 33305041
septenary (7) 11351503
nonary (9) 1800457
undecimal (11) 626528
duodecimal (12) 405181
tridecimal (13) 29210b
tetradecimal (14) 1c1d73
pentadecimal (15) 14c824

As an angle

1,004,209° = 2,789 × 360° + 169°
169° ≈ 2.95 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬四千二百零九
Chinese (financial)
壹佰萬肆仟貳佰零玖
In other modern scripts
Eastern Arabic ١٠٠٤٢٠٩ Devanagari १००४२०९ Bengali ১০০৪২০৯ Tamil ௧௦௦௪௨௦௯ Thai ๑๐๐๔๒๐๙ Tibetan ༡༠༠༤༢༠༩ Khmer ១០០៤២០៩ Lao ໑໐໐໔໒໐໙ Burmese ၁၀၀၄၂၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F52B1
RGB(15, 82, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.177.

Address
0.15.82.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.82.177

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 1,004,209 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1004209 first appears in π at position 438,694 of the decimal expansion (the 438,694ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.