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513,213

513,213 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.).

513,213 (five hundred thirteen thousand two hundred thirteen) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3 × 17 × 29 × 347. Written other ways, in hexadecimal, 0x7D4BD.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
15
Digit product
90
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
312,315
Square (n²)
263,387,583,369
Cube (n³)
135,173,931,823,554,597
Divisor count
16
σ(n) — sum of divisors
751,680
φ(n) — Euler's totient
310,016
Sum of prime factors
396

Primality

Prime factorization: 3 × 17 × 29 × 347

Nearest primes: 513,203 (−10) · 513,239 (+26)

Divisors & multiples

All divisors (16)
1 · 3 · 17 · 29 · 51 · 87 · 347 · 493 · 1041 · 1479 · 5899 · 10063 · 17697 · 30189 · 171071 · 513213
Aliquot sum (sum of proper divisors): 238,467
Factor pairs (a × b = 513,213)
1 × 513213
3 × 171071
17 × 30189
29 × 17697
51 × 10063
87 × 5899
347 × 1479
493 × 1041
First multiples
513,213 · 1,026,426 (double) · 1,539,639 · 2,052,852 · 2,566,065 · 3,079,278 · 3,592,491 · 4,105,704 · 4,618,917 · 5,132,130

Sums & aliquot sequence

As consecutive integers: 256,606 + 256,607 171,070 + 171,071 + 171,072 85,533 + 85,534 + 85,535 + 85,536 + 85,537 + 85,538 30,181 + 30,182 + … + 30,197
Aliquot sequence: 513,213 238,467 90,573 55,347 22,413 8,563 1 0 — terminates at zero

Continued fraction of √n

√513,213 = [716; (2, 1, 1, 2, 1, 109, 2, 28, 1, 2, 1, 7, 1, 2, 1, 2, 2, 1, 1, 4, 1, 3, 6, 1, …)]

Representations

In words
five hundred thirteen thousand two hundred thirteen
Ordinal
513213th
Binary
1111101010010111101
Octal
1752275
Hexadecimal
0x7D4BD
Base64
B9S9
One's complement
4,294,454,082 (32-bit)
Scientific notation
5.13213 × 10⁵
As a duration
513,213 s = 5 days, 22 hours, 33 minutes, 33 seconds
In other bases
ternary (3) 222001222220
quaternary (4) 1331102331
quinary (5) 112410323
senary (6) 14555553
septenary (7) 4235151
nonary (9) 861886
undecimal (11) 320648
duodecimal (12) 208bb9
tridecimal (13) 14c79c
tetradecimal (14) d5061
pentadecimal (15) a20e3

As an angle

513,213° = 1,425 × 360° + 213°
213° ≈ 3.718 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵φιγσιγʹ
Chinese
五十一萬三千二百一十三
Chinese (financial)
伍拾壹萬參仟貳佰壹拾參
In other modern scripts
Eastern Arabic ٥١٣٢١٣ Devanagari ५१३२१३ Bengali ৫১৩২১৩ Tamil ௫௧௩௨௧௩ Thai ๕๑๓๒๑๓ Tibetan ༥༡༣༢༡༣ Khmer ៥១៣២១៣ Lao ໕໑໓໒໑໓ Burmese ၅၁၃၂၁၃

Also seen as

Hex color
#07D4BD
RGB(7, 212, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.189.

Address
0.7.212.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.189

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 513,213 and was likely granted around 1893.

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

Related reading