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1,046,113

1,046,113 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.).

1,046,113 (one million forty-six thousand one hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFF661.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy 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
3,116,401
Square (n²)
1,094,352,408,769
Cube (n³)
1,144,816,281,394,564,897
Divisor count
2
σ(n) — sum of divisors
1,046,114
φ(n) — Euler's totient
1,046,112

Primality

1,046,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1046113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,046,113)
1 × 1046113
First multiples
1,046,113 · 2,092,226 (double) · 3,138,339 · 4,184,452 · 5,230,565 · 6,276,678 · 7,322,791 · 8,368,904 · 9,415,017 · 10,461,130

Sums & aliquot sequence

As a sum of two squares: 463² + 912²
As consecutive integers: 523,056 + 523,057

Continued fraction of √n

√1,046,113 = [1022; (1, 3, 1, 11, 6, 6, 1, 1, 2, 2, 1, 1, 1, 2, 5, 1, 20, 4, 13, 8, 7, 6, 2, 2, …)]

Representations

In words
one million forty-six thousand one hundred thirteen
Ordinal
1046113th
Binary
11111111011001100001
Octal
3773141
Hexadecimal
0xFF661
Base64
D/Zh
One's complement
4,293,921,182 (32-bit)
Scientific notation
1.046113 × 10⁶
As a duration
1,046,113 s = 12 days, 2 hours, 35 minutes, 13 seconds
In other bases
ternary (3) 1222010222221
quaternary (4) 3333121201
quinary (5) 231433423
senary (6) 34231041
septenary (7) 11614615
nonary (9) 1863887
undecimal (11) 654a62
duodecimal (12) 425481
tridecimal (13) 2a8203
tetradecimal (14) 1d3345
pentadecimal (15) 159e5d

As an angle

1,046,113° = 2,905 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Chinese
一百零四萬六千一百一十三
Chinese (financial)
壹佰零肆萬陸仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١٠٤٦١١٣ Devanagari १०४६११३ Bengali ১০৪৬১১৩ Tamil ௧௦௪௬௧௧௩ Thai ๑๐๔๖๑๑๓ Tibetan ༡༠༤༦༡༡༣ Khmer ១០៤៦១១៣ Lao ໑໐໔໖໑໑໓ Burmese ၁၀၄၆၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1046119.

Hex color
#0FF661
RGB(15, 246, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.246.97.

Address
0.15.246.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.246.97

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 6113 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6113-04-01 (DMMYYYY (Euro, single-digit day))
  • 6113-10-04 (MMDYYYY (US, single-digit day))
  • 6113-04-10 (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 1,046,113 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1046113 first appears in π at position 127,226 of the decimal expansion (the 127,226ordinal-suffix:th 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.