number.wiki
Live analysis

1,013,713

1,013,713 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.).

1,013,713 (one million thirteen thousand seven hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF77D1.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
3,173,101
Square (n²)
1,027,614,046,369
Cube (n³)
1,041,705,717,786,858,097
Divisor count
2
σ(n) — sum of divisors
1,013,714
φ(n) — Euler's totient
1,013,712

Primality

1,013,713 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013713
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,713)
1 × 1013713
First multiples
1,013,713 · 2,027,426 (double) · 3,041,139 · 4,054,852 · 5,068,565 · 6,082,278 · 7,095,991 · 8,109,704 · 9,123,417 · 10,137,130

Sums & aliquot sequence

As a sum of two squares: 567² + 832²
As consecutive integers: 506,856 + 506,857

Continued fraction of √n

√1,013,713 = [1006; (1, 4, 1, 154, 15, 1, 1, 1, 1, 11, 3, 5, 31, 1, 3, 2, 4, 4, 1, 1, 1, 1, 9, 1, …)]

Representations

In words
one million thirteen thousand seven hundred thirteen
Ordinal
1013713th
Binary
11110111011111010001
Octal
3673721
Hexadecimal
0xF77D1
Base64
D3fR
One's complement
4,293,953,582 (32-bit)
Scientific notation
1.013713 × 10⁶
As a duration
1,013,713 s = 11 days, 17 hours, 35 minutes, 13 seconds
In other bases
ternary (3) 1220111112221
quaternary (4) 3313133101
quinary (5) 224414323
senary (6) 33421041
septenary (7) 11421301
nonary (9) 1814487
undecimal (11) 632688
duodecimal (12) 40a781
tridecimal (13) 29653c
tetradecimal (14) 1c5601
pentadecimal (15) 15055d

As an angle

1,013,713° = 2,815 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百零一萬三千七百一十三
Chinese (financial)
壹佰零壹萬參仟柒佰壹拾參
In other modern scripts
Eastern Arabic ١٠١٣٧١٣ Devanagari १०१३७१३ Bengali ১০১৩৭১৩ Tamil ௧௦௧௩௭௧௩ Thai ๑๐๑๓๗๑๓ Tibetan ༡༠༡༣༧༡༣ Khmer ១០១៣៧១៣ Lao ໑໐໑໓໗໑໓ Burmese ၁၀၁၃၇၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1013711, cousin with 1013717.

Hex color
#0F77D1
RGB(15, 119, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.209.

Address
0.15.119.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.119.209

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3713 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3713-10-01 (MMDYYYY (US, single-digit day))
  • 3713-01-10 (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 1,013,713 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.