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513,357

513,357 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.).

513,357 (five hundred thirteen thousand three hundred fifty-seven) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 3 × 13 × 13,163. Written other ways, in hexadecimal, 0x7D54D.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
24
Digit product
1,575
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
753,315
Square (n²)
263,535,409,449
Cube (n³)
135,287,747,188,510,293
Divisor count
8
σ(n) — sum of divisors
737,184
φ(n) — Euler's totient
315,888
Sum of prime factors
13,179

Primality

Prime factorization: 3 × 13 × 13163

Nearest primes: 513,353 (−4) · 513,367 (+10)

Divisors & multiples

All divisors (8)
1 · 3 · 13 · 39 · 13163 · 39489 · 171119 · 513357
Aliquot sum (sum of proper divisors): 223,827
Factor pairs (a × b = 513,357)
1 × 513357
3 × 171119
13 × 39489
39 × 13163
First multiples
513,357 · 1,026,714 (double) · 1,540,071 · 2,053,428 · 2,566,785 · 3,080,142 · 3,593,499 · 4,106,856 · 4,620,213 · 5,133,570

Sums & aliquot sequence

As consecutive integers: 256,678 + 256,679 171,118 + 171,119 + 171,120 85,557 + 85,558 + 85,559 + 85,560 + 85,561 + 85,562 39,483 + 39,484 + … + 39,495
Aliquot sequence: 513,357 223,827 74,613 63,627 22,389 9,291 3,829 555 357 219 77 19 1 0 — terminates at zero

Continued fraction of √n

√513,357 = [716; (2, 22, 1, 118, 2, 5, 2, 1, 2, 357, 1, 6, 1, 4, 1, 476, 1, 4, 1, 6, 1, 357, 2, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand three hundred fifty-seven
Ordinal
513357th
Binary
1111101010101001101
Octal
1752515
Hexadecimal
0x7D54D
Base64
B9VN
One's complement
4,294,453,938 (32-bit)
Scientific notation
5.13357 × 10⁵
As a duration
513,357 s = 5 days, 22 hours, 35 minutes, 57 seconds
In other bases
ternary (3) 222002012020
quaternary (4) 1331111031
quinary (5) 112411412
senary (6) 15000353
septenary (7) 4235445
nonary (9) 862166
undecimal (11) 320769
duodecimal (12) 2090b9
tridecimal (13) 14c880
tetradecimal (14) d5125
pentadecimal (15) a218c

As an angle

513,357° = 1,425 × 360° + 357°
357° ≈ 6.231 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγτνζʹ
Chinese
五十一萬三千三百五十七
Chinese (financial)
伍拾壹萬參仟參佰伍拾柒
In other modern scripts
Eastern Arabic ٥١٣٣٥٧ Devanagari ५१३३५७ Bengali ৫১৩৩৫৭ Tamil ௫௧௩௩௫௭ Thai ๕๑๓๓๕๗ Tibetan ༥༡༣༣༥༧ Khmer ៥១៣៣៥៧ Lao ໕໑໓໓໕໗ Burmese ၅၁၃၃၅၇

Also seen as

Hex color
#07D54D
RGB(7, 213, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.77.

Address
0.7.213.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.77

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 513,357 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 513357 first appears in π at position 717,457 of the decimal expansion (the 717,457ordinal-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