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513,841

513,841 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.).

513,841 (five hundred thirteen thousand eight hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D731.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
480
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
148,315
Square (n²)
264,032,573,281
Cube (n³)
135,670,761,487,282,321
Divisor count
2
σ(n) — sum of divisors
513,842
φ(n) — Euler's totient
513,840

Primality

513,841 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513841
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,841)
1 × 513841
First multiples
513,841 · 1,027,682 (double) · 1,541,523 · 2,055,364 · 2,569,205 · 3,083,046 · 3,596,887 · 4,110,728 · 4,624,569 · 5,138,410

Sums & aliquot sequence

As a sum of two squares: 135² + 704²
As consecutive integers: 256,920 + 256,921

Continued fraction of √n

√513,841 = [716; (1, 4, 1, 3, 1, 1, 2, 1, 2, 2, 2, 1, 5, 10, 2, 1, 2, 1, 2, 3, 2, 4, 6, 3, …)]

Representations

In words
five hundred thirteen thousand eight hundred forty-one
Ordinal
513841st
Binary
1111101011100110001
Octal
1753461
Hexadecimal
0x7D731
Base64
B9cx
One's complement
4,294,453,454 (32-bit)
Scientific notation
5.13841 × 10⁵
As a duration
513,841 s = 5 days, 22 hours, 44 minutes, 1 second
In other bases
ternary (3) 222002212011
quaternary (4) 1331130301
quinary (5) 112420331
senary (6) 15002521
septenary (7) 4240036
nonary (9) 862764
undecimal (11) 321069
duodecimal (12) 209441
tridecimal (13) 14cb63
tetradecimal (14) d538d
pentadecimal (15) a23b1

As an angle

513,841° = 1,427 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵φιγωμαʹ
Chinese
五十一萬三千八百四十一
Chinese (financial)
伍拾壹萬參仟捌佰肆拾壹
In other modern scripts
Eastern Arabic ٥١٣٨٤١ Devanagari ५१३८४१ Bengali ৫১৩৮৪১ Tamil ௫௧௩௮௪௧ Thai ๕๑๓๘๔๑ Tibetan ༥༡༣༨༤༡ Khmer ៥១៣៨៤១ Lao ໕໑໓໘໔໑ Burmese ၅၁၃၈၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 513839.

Hex color
#07D731
RGB(7, 215, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.49.

Address
0.7.215.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.215.49

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

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 513,841 and was likely granted around 1893.

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

Position in π

The digit sequence 513841 first appears in π at position 141,203 of the decimal expansion (the 141,203ordinal-suffix:rd 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.