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513,397

513,397 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.).

513,397 (five hundred thirteen thousand three hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D575.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
2,835
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
793,315
Square (n²)
263,576,479,609
Cube (n³)
135,319,373,901,821,773
Divisor count
2
σ(n) — sum of divisors
513,398
φ(n) — Euler's totient
513,396

Primality

513,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513397
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,397)
1 × 513397
First multiples
513,397 · 1,026,794 (double) · 1,540,191 · 2,053,588 · 2,566,985 · 3,080,382 · 3,593,779 · 4,107,176 · 4,620,573 · 5,133,970

Sums & aliquot sequence

As a sum of two squares: 494² + 519²
As consecutive integers: 256,698 + 256,699

Continued fraction of √n

√513,397 = [716; (1, 1, 13, 1, 38, 1, 7, 32, 2, 3, 1, 13, 2, 2, 3, 4, 1, 1, 1, 2, 2, 2, 1, 1, …)]

Representations

In words
five hundred thirteen thousand three hundred ninety-seven
Ordinal
513397th
Binary
1111101010101110101
Octal
1752565
Hexadecimal
0x7D575
Base64
B9V1
One's complement
4,294,453,898 (32-bit)
Scientific notation
5.13397 × 10⁵
As a duration
513,397 s = 5 days, 22 hours, 36 minutes, 37 seconds
In other bases
ternary (3) 222002020201
quaternary (4) 1331111311
quinary (5) 112412042
senary (6) 15000501
septenary (7) 4235533
nonary (9) 862221
undecimal (11) 3207a5
duodecimal (12) 209131
tridecimal (13) 14c8b1
tetradecimal (14) d5153
pentadecimal (15) a21b7

As an angle

513,397° = 1,426 × 360° + 37°
37° ≈ 0.646 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγτϟζʹ
Chinese
五十一萬三千三百九十七
Chinese (financial)
伍拾壹萬參仟參佰玖拾柒
In other modern scripts
Eastern Arabic ٥١٣٣٩٧ Devanagari ५१३३९७ Bengali ৫১৩৩৯৭ Tamil ௫௧௩௩௯௭ Thai ๕๑๓๓๙๗ Tibetan ༥༡༣༣༩༧ Khmer ៥១៣៣៩៧ Lao ໕໑໓໓໙໗ Burmese ၅၁၃၃၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07D575
RGB(7, 213, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.117.

Address
0.7.213.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.117

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 513,397 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 513397 first appears in π at position 514,523 of the decimal expansion (the 514,523ordinal-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.