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1,008,409

1,008,409 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.).

1,008,409 (one million eight thousand 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, 0xF6319.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
9,048,001
Recamán's sequence
a(348,633) = 1,008,409
Square (n²)
1,016,888,711,281
Cube (n³)
1,025,439,728,454,161,929
Divisor count
2
σ(n) — sum of divisors
1,008,410
φ(n) — Euler's totient
1,008,408

Primality

1,008,409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1008409
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,008,409)
1 × 1008409
First multiples
1,008,409 · 2,016,818 (double) · 3,025,227 · 4,033,636 · 5,042,045 · 6,050,454 · 7,058,863 · 8,067,272 · 9,075,681 · 10,084,090

Sums & aliquot sequence

As a sum of two squares: 120² + 997²
As consecutive integers: 504,204 + 504,205

Continued fraction of √n

√1,008,409 = [1004; (5, 9, 10, 5, 4, 8, 7, 1, 2, 3, 1, 4, 1, 4, 4, 3, 3, 1, 2, 1, 5, 1, 2, 2, …)]

Representations

In words
one million eight thousand four hundred nine
Ordinal
1008409th
Binary
11110110001100011001
Octal
3661431
Hexadecimal
0xF6319
Base64
D2MZ
One's complement
4,293,958,886 (32-bit)
Scientific notation
1.008409 × 10⁶
As a duration
1,008,409 s = 11 days, 16 hours, 6 minutes, 49 seconds
In other bases
ternary (3) 1220020021111
quaternary (4) 3312030121
quinary (5) 224232114
senary (6) 33340321
septenary (7) 11366653
nonary (9) 1806244
undecimal (11) 6296a6
duodecimal (12) 4076a1
tridecimal (13) 293cbc
tetradecimal (14) 1c36d3
pentadecimal (15) 14dbc4

As an angle

1,008,409° = 2,801 × 360° + 49°
49° ≈ 0.855 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬八千四百零九
Chinese (financial)
壹佰萬捌仟肆佰零玖
In other modern scripts
Eastern Arabic ١٠٠٨٤٠٩ Devanagari १००८४०९ Bengali ১০০৮৪০৯ Tamil ௧௦௦௮௪௦௯ Thai ๑๐๐๘๔๐๙ Tibetan ༡༠༠༨༤༠༩ Khmer ១០០៨៤០៩ Lao ໑໐໐໘໔໐໙ Burmese ၁၀၀၈၄၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1008407.

Hex color
#0F6319
RGB(15, 99, 25)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.99.25.

Address
0.15.99.25
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.99.25

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 1,008,409 and was likely granted around 1911.

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

Position in π

The digit sequence 1008409 first appears in π at position 656,054 of the decimal expansion (the 656,054ordinal-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.