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1,013,249

1,013,249 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.).

1,013,249 (one million thirteen thousand 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, 0xF7601.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
9,423,101
Square (n²)
1,026,673,536,001
Cube (n³)
1,040,275,933,679,477,249
Divisor count
2
σ(n) — sum of divisors
1,013,250
φ(n) — Euler's totient
1,013,248

Primality

1,013,249 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013249
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,249)
1 × 1013249
First multiples
1,013,249 · 2,026,498 (double) · 3,039,747 · 4,052,996 · 5,066,245 · 6,079,494 · 7,092,743 · 8,105,992 · 9,119,241 · 10,132,490

Sums & aliquot sequence

As a sum of two squares: 620² + 793²
As consecutive integers: 506,624 + 506,625

Continued fraction of √n

√1,013,249 = [1006; (1, 1, 1, 1, 14, 4, 1, 12, 1, 2, 2, 3, 3, 1, 17, 1, 2, 2, 1, 2, 1, 9, 11, 50, …)]

Representations

In words
one million thirteen thousand two hundred forty-nine
Ordinal
1013249th
Binary
11110111011000000001
Octal
3673001
Hexadecimal
0xF7601
Base64
D3YB
One's complement
4,293,954,046 (32-bit)
Scientific notation
1.013249 × 10⁶
As a duration
1,013,249 s = 11 days, 17 hours, 27 minutes, 29 seconds
In other bases
ternary (3) 1220110220202
quaternary (4) 3313120001
quinary (5) 224410444
senary (6) 33414545
septenary (7) 11420036
nonary (9) 1813822
undecimal (11) 6322a6
duodecimal (12) 40a455
tridecimal (13) 296273
tetradecimal (14) 1c538d
pentadecimal (15) 15034e

As an angle

1,013,249° = 2,814 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千二百四十九
Chinese (financial)
壹佰零壹萬參仟貳佰肆拾玖
In other modern scripts
Eastern Arabic ١٠١٣٢٤٩ Devanagari १०१३२४९ Bengali ১০১৩২৪৯ Tamil ௧௦௧௩௨௪௯ Thai ๑๐๑๓๒๔๙ Tibetan ༡༠༡༣༢༤༩ Khmer ១០១៣២៤៩ Lao ໑໐໑໓໒໔໙ Burmese ၁၀၁၃၂၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F7601
RGB(15, 118, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.1.

Address
0.15.118.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.1

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3249 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3249-10-01 (MMDYYYY (US, single-digit day))
  • 3249-01-10 (DDMYYYY (Euro, single-digit month))
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 1,013,249 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 1013249 first appears in π at position 625,902 of the decimal expansion (the 625,902ordinal-suffix:nd 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.