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1,006,253

1,006,253 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.).

1,006,253 (one million six thousand two hundred fifty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5AAD.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
3,526,001
Square (n²)
1,012,545,100,009
Cube (n³)
1,018,876,544,519,356,277
Divisor count
2
σ(n) — sum of divisors
1,006,254
φ(n) — Euler's totient
1,006,252

Primality

1,006,253 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1006253
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,006,253)
1 × 1006253
First multiples
1,006,253 · 2,012,506 (double) · 3,018,759 · 4,025,012 · 5,031,265 · 6,037,518 · 7,043,771 · 8,050,024 · 9,056,277 · 10,062,530

Sums & aliquot sequence

As a sum of two squares: 622² + 787²
As consecutive integers: 503,126 + 503,127

Continued fraction of √n

√1,006,253 = [1003; (8, 4, 1, 1, 29, 2, 1, 1, 3, 2, 1, 5, 1, 3, 10, 7, 2, 1, 1, 2, 1, 7, 1, 1, …)]

Representations

In words
one million six thousand two hundred fifty-three
Ordinal
1006253rd
Binary
11110101101010101101
Octal
3655255
Hexadecimal
0xF5AAD
Base64
D1qt
One's complement
4,293,961,042 (32-bit)
Scientific notation
1.006253 × 10⁶
As a duration
1,006,253 s = 11 days, 15 hours, 30 minutes, 53 seconds
In other bases
ternary (3) 1220010022122
quaternary (4) 3311222231
quinary (5) 224200003
senary (6) 33322325
septenary (7) 11360453
nonary (9) 1803278
undecimal (11) 628016
duodecimal (12) 4063a5
tridecimal (13) 293021
tetradecimal (14) 1c29d3
pentadecimal (15) 14d238

As an angle

1,006,253° = 2,795 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百萬六千二百五十三
Chinese (financial)
壹佰萬陸仟貳佰伍拾參
In other modern scripts
Eastern Arabic ١٠٠٦٢٥٣ Devanagari १००६२५३ Bengali ১০০৬২৫৩ Tamil ௧௦௦௬௨௫௩ Thai ๑๐๐๖๒๕๓ Tibetan ༡༠༠༦༢༥༣ Khmer ១០០៦២៥៣ Lao ໑໐໐໖໒໕໓ Burmese ၁၀၀၆၂၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1006249.

Hex color
#0F5AAD
RGB(15, 90, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.173.

Address
0.15.90.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.90.173

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 1,006,253 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.