number.wiki
Live analysis

1,013,531

1,013,531 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.).

1,013,531 (one million thirteen thousand five hundred thirty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF771B.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
1,353,101
Square (n²)
1,027,245,087,961
Cube (n³)
1,041,144,741,246,200,291
Divisor count
2
σ(n) — sum of divisors
1,013,532
φ(n) — Euler's totient
1,013,530

Primality

1,013,531 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013531
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,531)
1 × 1013531
First multiples
1,013,531 · 2,027,062 (double) · 3,040,593 · 4,054,124 · 5,067,655 · 6,081,186 · 7,094,717 · 8,108,248 · 9,121,779 · 10,135,310

Sums & aliquot sequence

As consecutive integers: 506,765 + 506,766

Continued fraction of √n

√1,013,531 = [1006; (1, 2, 1, 7, 1, 8, 4, 2, 3, 1, 6, 1, 1005, 1, 6, 1, 3, 2, 4, 8, 1, 7, 1, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one million thirteen thousand five hundred thirty-one
Ordinal
1013531st
Binary
11110111011100011011
Octal
3673433
Hexadecimal
0xF771B
Base64
D3cb
One's complement
4,293,953,764 (32-bit)
Scientific notation
1.013531 × 10⁶
As a duration
1,013,531 s = 11 days, 17 hours, 32 minutes, 11 seconds
In other bases
ternary (3) 1220111022012
quaternary (4) 3313130123
quinary (5) 224413111
senary (6) 33420135
septenary (7) 11420621
nonary (9) 1814265
undecimal (11) 632532
duodecimal (12) 40a64b
tridecimal (13) 29642c
tetradecimal (14) 1c5511
pentadecimal (15) 15048b

As an angle

1,013,531° = 2,815 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Chinese
一百零一萬三千五百三十一
Chinese (financial)
壹佰零壹萬參仟伍佰參拾壹
In other modern scripts
Eastern Arabic ١٠١٣٥٣١ Devanagari १०१३५३१ Bengali ১০১৩৫৩১ Tamil ௧௦௧௩௫௩௧ Thai ๑๐๑๓๕๓๑ Tibetan ༡༠༡༣༥༣༡ Khmer ១០១៣៥៣១ Lao ໑໐໑໓໕໓໑ Burmese ၁၀၁၃၅၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1013533, cousin with 1013527.

Hex color
#0F771B
RGB(15, 119, 27)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.27.

Address
0.15.119.27
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.119.27

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3531 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3531-10-01 (MMDYYYY (US, single-digit day))
  • 3531-01-10 (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 1,013,531 and was likely granted around 1911.

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

Position in π

The digit sequence 1013531 first appears in π at position 452,289 of the decimal expansion (the 452,289ordinal-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.