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1,006,513

1,006,513 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.).

1,006,513 (one million six thousand five hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5BB1.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sexy 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
3,156,001
Square (n²)
1,013,068,419,169
Cube (n³)
1,019,666,533,783,047,697
Divisor count
2
σ(n) — sum of divisors
1,006,514
φ(n) — Euler's totient
1,006,512

Primality

1,006,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1006513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,006,513)
1 × 1006513
First multiples
1,006,513 · 2,013,026 (double) · 3,019,539 · 4,026,052 · 5,032,565 · 6,039,078 · 7,045,591 · 8,052,104 · 9,058,617 · 10,065,130

Sums & aliquot sequence

As a sum of two squares: 228² + 977²
As consecutive integers: 503,256 + 503,257

Continued fraction of √n

√1,006,513 = [1003; (3, 1, 50, 1, 2, 3, 7, 1, 2, 3, 1, 2, 3, 4, 1, 12, 1, 5, 5, 3, 1, 2, 1, 1, …)]

Representations

In words
one million six thousand five hundred thirteen
Ordinal
1006513th
Binary
11110101101110110001
Octal
3655661
Hexadecimal
0xF5BB1
Base64
D1ux
One's complement
4,293,960,782 (32-bit)
Scientific notation
1.006513 × 10⁶
As a duration
1,006,513 s = 11 days, 15 hours, 35 minutes, 13 seconds
In other bases
ternary (3) 1220010200021
quaternary (4) 3311232301
quinary (5) 224202023
senary (6) 33323441
septenary (7) 11361304
nonary (9) 1803607
undecimal (11) 628232
duodecimal (12) 406581
tridecimal (13) 293191
tetradecimal (14) 1c2b3b
pentadecimal (15) 14d35d

As an angle

1,006,513° = 2,795 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百萬六千五百一十三
Chinese (financial)
壹佰萬陸仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١٠٠٦٥١٣ Devanagari १००६५१३ Bengali ১০০৬৫১৩ Tamil ௧௦௦௬௫௧௩ Thai ๑๐๐๖๕๑๓ Tibetan ༡༠༠༦༥༡༣ Khmer ១០០៦៥១៣ Lao ໑໐໐໖໕໑໓ Burmese ၁၀၀၆၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1006507.

Hex color
#0F5BB1
RGB(15, 91, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.177.

Address
0.15.91.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.91.177

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 1,006,513 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.