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1,013,641

1,013,641 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.).

1,013,641 (one million thirteen thousand six hundred forty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF7789.

Arithmetic Number 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
1,463,101
Square (n²)
1,027,468,076,881
Cube (n³)
1,041,483,768,917,733,721
Divisor count
2
σ(n) — sum of divisors
1,013,642
φ(n) — Euler's totient
1,013,640

Primality

1,013,641 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013641
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,641)
1 × 1013641
First multiples
1,013,641 · 2,027,282 (double) · 3,040,923 · 4,054,564 · 5,068,205 · 6,081,846 · 7,095,487 · 8,109,128 · 9,122,769 · 10,136,410

Sums & aliquot sequence

As a sum of two squares: 75² + 1,004²
As consecutive integers: 506,820 + 506,821

Continued fraction of √n

√1,013,641 = [1006; (1, 3, 1, 14, 1, 1, 3, 44, 2, 6, 9, 3, 2, 1, 20, 16, 1, 2, 1, 2, 1, 1, 1, 8, …)]

Representations

In words
one million thirteen thousand six hundred forty-one
Ordinal
1013641st
Binary
11110111011110001001
Octal
3673611
Hexadecimal
0xF7789
Base64
D3eJ
One's complement
4,293,953,654 (32-bit)
Scientific notation
1.013641 × 10⁶
As a duration
1,013,641 s = 11 days, 17 hours, 34 minutes, 1 second
In other bases
ternary (3) 1220111110021
quaternary (4) 3313132021
quinary (5) 224414031
senary (6) 33420441
septenary (7) 11421136
nonary (9) 1814407
undecimal (11) 632622
duodecimal (12) 40a721
tridecimal (13) 2964b5
tetradecimal (14) 1c558d
pentadecimal (15) 150511

As an angle

1,013,641° = 2,815 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Chinese
一百零一萬三千六百四十一
Chinese (financial)
壹佰零壹萬參仟陸佰肆拾壹
In other modern scripts
Eastern Arabic ١٠١٣٦٤١ Devanagari १०१३६४१ Bengali ১০১৩৬৪১ Tamil ௧௦௧௩௬௪௧ Thai ๑๐๑๓๖๔๑ Tibetan ༡༠༡༣༦༤༡ Khmer ១០១៣៦៤១ Lao ໑໐໑໓໖໔໑ Burmese ၁၀၁၃၆၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F7789
RGB(15, 119, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.137.

Address
0.15.119.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.119.137

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3641 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3641-10-01 (MMDYYYY (US, single-digit day))
  • 3641-01-10 (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 1,013,641 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.