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1,000,249

1,000,249 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.).

1,000,249 (one million two hundred forty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4339.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean 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
9,420,001
Square (n²)
1,000,498,062,001
Cube (n³)
1,000,747,186,018,438,249
Divisor count
2
σ(n) — sum of divisors
1,000,250
φ(n) — Euler's totient
1,000,248

Primality

1,000,249 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1000249
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,000,249)
1 × 1000249
First multiples
1,000,249 · 2,000,498 (double) · 3,000,747 · 4,000,996 · 5,001,245 · 6,001,494 · 7,001,743 · 8,001,992 · 9,002,241 · 10,002,490

Sums & aliquot sequence

As a sum of two squares: 555² + 832²
As consecutive integers: 500,124 + 500,125

Continued fraction of √n

√1,000,249 = [1000; (8, 30, 1, 1, 1, 5, 3, 4, 41, 2, 3, 1, 2, 16, 1, 2, 1, 3, 1, 2, 1, 43, 1, 2, …)]

Representations

In words
one million two hundred forty-nine
Ordinal
1000249th
Binary
11110100001100111001
Octal
3641471
Hexadecimal
0xF4339
Base64
D0M5
One's complement
4,293,967,046 (32-bit)
Scientific notation
1.000249 × 10⁶
As a duration
1,000,249 s = 11 days, 13 hours, 50 minutes, 49 seconds
In other bases
ternary (3) 1212211002021
quaternary (4) 3310030321
quinary (5) 224001444
senary (6) 33234441
septenary (7) 11334115
nonary (9) 1784067
undecimal (11) 623558
duodecimal (12) 402a21
tridecimal (13) 290383
tetradecimal (14) 1c0745
pentadecimal (15) 14b584

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬零二百四十九
Chinese (financial)
壹佰萬零貳佰肆拾玖
In other modern scripts
Eastern Arabic ١٠٠٠٢٤٩ Devanagari १०००२४९ Bengali ১০০০২৪৯ Tamil ௧௦௦௦௨௪௯ Thai ๑๐๐๐๒๔๙ Tibetan ༡༠༠༠༢༤༩ Khmer ១០០០២៤៩ Lao ໑໐໐໐໒໔໙ Burmese ၁၀၀၀၂၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1000253.

Hex color
#0F4339
RGB(15, 67, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.57.

Address
0.15.67.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.67.57

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 1,000,249 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 1000249 first appears in π at position 699,814 of the decimal expansion (the 699,814ordinal-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.