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1,013,681

1,013,681 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.).

1,013,681 (one million thirteen thousand six hundred eighty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF77B1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,863,101
Square (n²)
1,027,549,169,761
Cube (n³)
1,041,607,069,952,500,241
Divisor count
2
σ(n) — sum of divisors
1,013,682
φ(n) — Euler's totient
1,013,680

Primality

1,013,681 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013681
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,681)
1 × 1013681
First multiples
1,013,681 · 2,027,362 (double) · 3,041,043 · 4,054,724 · 5,068,405 · 6,082,086 · 7,095,767 · 8,109,448 · 9,123,129 · 10,136,810

Sums & aliquot sequence

As a sum of two squares: 409² + 920²
As consecutive integers: 506,840 + 506,841

Continued fraction of √n

√1,013,681 = [1006; (1, 4, 2, 8, 1, 1, 6, 1, 1, 1, 35, 1, 24, 5, 17, 3, 4, 1, 2, 1, 12, 11, 2, 1, …)]

Representations

In words
one million thirteen thousand six hundred eighty-one
Ordinal
1013681st
Binary
11110111011110110001
Octal
3673661
Hexadecimal
0xF77B1
Base64
D3ex
One's complement
4,293,953,614 (32-bit)
Scientific notation
1.013681 × 10⁶
As a duration
1,013,681 s = 11 days, 17 hours, 34 minutes, 41 seconds
In other bases
ternary (3) 1220111111202
quaternary (4) 3313132301
quinary (5) 224414211
senary (6) 33420545
septenary (7) 11421224
nonary (9) 1814452
undecimal (11) 632659
duodecimal (12) 40a755
tridecimal (13) 296516
tetradecimal (14) 1c55bb
pentadecimal (15) 15053b

As an angle

1,013,681° = 2,815 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零一萬三千六百八十一
Chinese (financial)
壹佰零壹萬參仟陸佰捌拾壹
In other modern scripts
Eastern Arabic ١٠١٣٦٨١ Devanagari १०१३६८१ Bengali ১০১৩৬৮১ Tamil ௧௦௧௩௬௮௧ Thai ๑๐๑๓๖๘๑ Tibetan ༡༠༡༣༦༨༡ Khmer ១០១៣៦៨១ Lao ໑໐໑໓໖໘໑ Burmese ၁၀၁၃၆၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1013687.

Hex color
#0F77B1
RGB(15, 119, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.177.

Address
0.15.119.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.119.177

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3681 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3681-10-01 (MMDYYYY (US, single-digit day))
  • 3681-01-10 (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 1,013,681 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.