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1,013,237

1,013,237 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.).

1,013,237 (one million thirteen thousand two hundred thirty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF75F5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
7,323,101
Square (n²)
1,026,649,218,169
Cube (n³)
1,040,238,973,869,903,053
Divisor count
2
σ(n) — sum of divisors
1,013,238
φ(n) — Euler's totient
1,013,236

Primality

1,013,237 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013237
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,237)
1 × 1013237
First multiples
1,013,237 · 2,026,474 (double) · 3,039,711 · 4,052,948 · 5,066,185 · 6,079,422 · 7,092,659 · 8,105,896 · 9,119,133 · 10,132,370

Sums & aliquot sequence

As a sum of two squares: 106² + 1,001²
As consecutive integers: 506,618 + 506,619

Continued fraction of √n

√1,013,237 = [1006; (1, 1, 2, 11, 1, 7, 26, 2, 1, 3, 15, 1, 1, 2, 1, 1, 1, 4, 2, 1, 2, 1, 64, 4, …)]

Representations

In words
one million thirteen thousand two hundred thirty-seven
Ordinal
1013237th
Binary
11110111010111110101
Octal
3672765
Hexadecimal
0xF75F5
Base64
D3X1
One's complement
4,293,954,058 (32-bit)
Scientific notation
1.013237 × 10⁶
As a duration
1,013,237 s = 11 days, 17 hours, 27 minutes, 17 seconds
In other bases
ternary (3) 1220110220022
quaternary (4) 3313113311
quinary (5) 224410422
senary (6) 33414525
septenary (7) 11420021
nonary (9) 1813808
undecimal (11) 632295
duodecimal (12) 40a445
tridecimal (13) 296264
tetradecimal (14) 1c5381
pentadecimal (15) 150342

As an angle

1,013,237° = 2,814 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千二百三十七
Chinese (financial)
壹佰零壹萬參仟貳佰參拾柒
In other modern scripts
Eastern Arabic ١٠١٣٢٣٧ Devanagari १०१३२३७ Bengali ১০১৩২৩৭ Tamil ௧௦௧௩௨௩௭ Thai ๑๐๑๓๒๓๗ Tibetan ༡༠༡༣༢༣༧ Khmer ១០១៣២៣៧ Lao ໑໐໑໓໒໓໗ Burmese ၁၀၁၃၂၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1013239.

Hex color
#0F75F5
RGB(15, 117, 245)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.245.

Address
0.15.117.245
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.117.245

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3237 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3237-10-01 (MMDYYYY (US, single-digit day))
  • 3237-01-10 (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 1,013,237 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.