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513,383

513,383 is a composite number, 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.).

513,383 (five hundred thirteen thousand three hundred eighty-three) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 13 × 17 × 23 × 101. Written other ways, in hexadecimal, 0x7D567.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,080
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
383,315
Square (n²)
263,562,104,689
Cube (n³)
135,308,303,991,552,887
Divisor count
16
σ(n) — sum of divisors
616,896
φ(n) — Euler's totient
422,400
Sum of prime factors
154

Primality

Prime factorization: 13 × 17 × 23 × 101

Nearest primes: 513,371 (−12) · 513,397 (+14)

Divisors & multiples

All divisors (16)
1 · 13 · 17 · 23 · 101 · 221 · 299 · 391 · 1313 · 1717 · 2323 · 5083 · 22321 · 30199 · 39491 · 513383
Aliquot sum (sum of proper divisors): 103,513
Factor pairs (a × b = 513,383)
1 × 513383
13 × 39491
17 × 30199
23 × 22321
101 × 5083
221 × 2323
299 × 1717
391 × 1313
First multiples
513,383 · 1,026,766 (double) · 1,540,149 · 2,053,532 · 2,566,915 · 3,080,298 · 3,593,681 · 4,107,064 · 4,620,447 · 5,133,830

Sums & aliquot sequence

As consecutive integers: 256,691 + 256,692 39,485 + 39,486 + … + 39,497 30,191 + 30,192 + … + 30,207 22,310 + 22,311 + … + 22,332
Aliquot sequence: 513,383 103,513 6,107 229 1 0 — terminates at zero

Continued fraction of √n

√513,383 = [716; (1, 1, 32, 1, 4, 1, 2, 1, 4, 1, 32, 1, 1, 1432)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand three hundred eighty-three
Ordinal
513383rd
Binary
1111101010101100111
Octal
1752547
Hexadecimal
0x7D567
Base64
B9Vn
One's complement
4,294,453,912 (32-bit)
Scientific notation
5.13383 × 10⁵
As a duration
513,383 s = 5 days, 22 hours, 36 minutes, 23 seconds
In other bases
ternary (3) 222002020012
quaternary (4) 1331111213
quinary (5) 112412013
senary (6) 15000435
septenary (7) 4235513
nonary (9) 862205
undecimal (11) 320792
duodecimal (12) 20911b
tridecimal (13) 14c8a0
tetradecimal (14) d5143
pentadecimal (15) a21a8

As an angle

513,383° = 1,426 × 360° + 23°
23° ≈ 0.401 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵φιγτπγʹ
Chinese
五十一萬三千三百八十三
Chinese (financial)
伍拾壹萬參仟參佰捌拾參
In other modern scripts
Eastern Arabic ٥١٣٣٨٣ Devanagari ५१३३८३ Bengali ৫১৩৩৮৩ Tamil ௫௧௩௩௮௩ Thai ๕๑๓๓๘๓ Tibetan ༥༡༣༣༨༣ Khmer ៥១៣៣៨៣ Lao ໕໑໓໓໘໓ Burmese ၅၁၃၃၈၃

Also seen as

Hex color
#07D567
RGB(7, 213, 103)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.103.

Address
0.7.213.103
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.103

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 513,383 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 513383 first appears in π at position 280,511 of the decimal expansion (the 280,511ordinal-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