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513,041

513,041 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.).

513,041 (five hundred thirteen thousand forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D411.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
140,315
Square (n²)
263,211,067,681
Cube (n³)
135,038,069,374,127,921
Divisor count
2
σ(n) — sum of divisors
513,042
φ(n) — Euler's totient
513,040

Primality

513,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513041
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,041)
1 × 513041
First multiples
513,041 · 1,026,082 (double) · 1,539,123 · 2,052,164 · 2,565,205 · 3,078,246 · 3,591,287 · 4,104,328 · 4,617,369 · 5,130,410

Sums & aliquot sequence

As a sum of two squares: 385² + 604²
As consecutive integers: 256,520 + 256,521

Continued fraction of √n

√513,041 = [716; (3, 1, 2, 1, 1, 2, 1, 8, 4, 3, 2, 2, 3, 9, 5, 6, 3, 2, 35, 2, 1, 1, 1, 1, …)]

Representations

In words
five hundred thirteen thousand forty-one
Ordinal
513041st
Binary
1111101010000010001
Octal
1752021
Hexadecimal
0x7D411
Base64
B9QR
One's complement
4,294,454,254 (32-bit)
Scientific notation
5.13041 × 10⁵
As a duration
513,041 s = 5 days, 22 hours, 30 minutes, 41 seconds
In other bases
ternary (3) 222001202112
quaternary (4) 1331100101
quinary (5) 112404131
senary (6) 14555105
septenary (7) 4234514
nonary (9) 861675
undecimal (11) 320501
duodecimal (12) 208a95
tridecimal (13) 14c699
tetradecimal (14) d4d7b
pentadecimal (15) a202b

As an angle

513,041° = 1,425 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵φιγμαʹ
Chinese
五十一萬三千零四十一
Chinese (financial)
伍拾壹萬參仟零肆拾壹
In other modern scripts
Eastern Arabic ٥١٣٠٤١ Devanagari ५१३०४१ Bengali ৫১৩০৪১ Tamil ௫௧௩௦௪௧ Thai ๕๑๓๐๔๑ Tibetan ༥༡༣༠༤༡ Khmer ៥១៣០៤១ Lao ໕໑໓໐໔໑ Burmese ၅၁၃၀၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 513047.

Hex color
#07D411
RGB(7, 212, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.17.

Address
0.7.212.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.17

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 513,041 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 513041 first appears in π at position 35,427 of the decimal expansion (the 35,427ordinal-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.