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1,000,253

1,000,253 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.).

1,000,253 (one million 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, 0xF433D.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
3,520,001
Square (n²)
1,000,506,064,009
Cube (n³)
1,000,759,192,043,194,277
Divisor count
2
σ(n) — sum of divisors
1,000,254
φ(n) — Euler's totient
1,000,252

Primality

1,000,253 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1000253
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,000,253)
1 × 1000253
First multiples
1,000,253 · 2,000,506 (double) · 3,000,759 · 4,001,012 · 5,001,265 · 6,001,518 · 7,001,771 · 8,002,024 · 9,002,277 · 10,002,530

Sums & aliquot sequence

As a sum of two squares: 347² + 938²
As consecutive integers: 500,126 + 500,127

Continued fraction of √n

√1,000,253 = [1000; (7, 1, 9, 1, 1, 2, 15, 1, 2, 1, 3, 2, 1, 1, 2, 2, 1, 1, 3, 1, 2, 9, 4, 1, …)]

Representations

In words
one million two hundred fifty-three
Ordinal
1000253rd
Binary
11110100001100111101
Octal
3641475
Hexadecimal
0xF433D
Base64
D0M9
One's complement
4,293,967,042 (32-bit)
Scientific notation
1.000253 × 10⁶
As a duration
1,000,253 s = 11 days, 13 hours, 50 minutes, 53 seconds
In other bases
ternary (3) 1212211002102
quaternary (4) 3310030331
quinary (5) 224002003
senary (6) 33234445
septenary (7) 11334122
nonary (9) 1784072
undecimal (11) 623561
duodecimal (12) 402a25
tridecimal (13) 290387
tetradecimal (14) 1c0749
pentadecimal (15) 14b588

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百萬零二百五十三
Chinese (financial)
壹佰萬零貳佰伍拾參
In other modern scripts
Eastern Arabic ١٠٠٠٢٥٣ Devanagari १०००२५३ Bengali ১০০০২৫৩ Tamil ௧௦௦௦௨௫௩ Thai ๑๐๐๐๒๕๓ Tibetan ༡༠༠༠༢༥༣ Khmer ១០០០២៥៣ Lao ໑໐໐໐໒໕໓ Burmese ၁၀၀၀၂၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1000249.

Hex color
#0F433D
RGB(15, 67, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.61.

Address
0.15.67.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.67.61

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 1,000,253 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.