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1,005,073

1,005,073 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.).

1,005,073 (one million five thousand seventy-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5611.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
3,705,001
Square (n²)
1,010,171,735,329
Cube (n³)
1,015,296,336,542,324,017
Divisor count
2
σ(n) — sum of divisors
1,005,074
φ(n) — Euler's totient
1,005,072

Primality

1,005,073 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1005073
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,005,073)
1 × 1005073
First multiples
1,005,073 · 2,010,146 (double) · 3,015,219 · 4,020,292 · 5,025,365 · 6,030,438 · 7,035,511 · 8,040,584 · 9,045,657 · 10,050,730

Sums & aliquot sequence

As a sum of two squares: 663² + 752²
As consecutive integers: 502,536 + 502,537

Continued fraction of √n

√1,005,073 = [1002; (1, 1, 7, 105, 2, 1, 1, 10, 1, 3, 1, 4, 1, 3, 7, 1, 5, 1, 26, 1, 153, 3, 1, 2, …)]

Representations

In words
one million five thousand seventy-three
Ordinal
1005073rd
Binary
11110101011000010001
Octal
3653021
Hexadecimal
0xF5611
Base64
D1YR
One's complement
4,293,962,222 (32-bit)
Scientific notation
1.005073 × 10⁶
As a duration
1,005,073 s = 11 days, 15 hours, 11 minutes, 13 seconds
In other bases
ternary (3) 1220001200221
quaternary (4) 3311120101
quinary (5) 224130243
senary (6) 33313041
septenary (7) 11354146
nonary (9) 1801627
undecimal (11) 627143
duodecimal (12) 405781
tridecimal (13) 292624
tetradecimal (14) 1c23cd
pentadecimal (15) 14cbed

As an angle

1,005,073° = 2,791 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百萬五千零七十三
Chinese (financial)
壹佰萬伍仟零柒拾參
In other modern scripts
Eastern Arabic ١٠٠٥٠٧٣ Devanagari १००५०७३ Bengali ১০০৫০৭৩ Tamil ௧௦௦௫௦௭௩ Thai ๑๐๐๕๐๗๓ Tibetan ༡༠༠༥༠༧༣ Khmer ១០០៥០៧៣ Lao ໑໐໐໕໐໗໓ Burmese ၁၀၀၅၀၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1005071, sexy with 1005079.

Hex color
#0F5611
RGB(15, 86, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.86.17.

Address
0.15.86.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.86.17

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 1,005,073 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 1005073 first appears in π at position 161,785 of the decimal expansion (the 161,785ordinal-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.