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513,135

513,135 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.).

513,135 (five hundred thirteen thousand one hundred thirty-five) is an odd 6-digit number. It is a composite number with 40 divisors, and factors as 3⁴ × 5 × 7 × 181. Its proper divisors sum to 543,921, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D46F.

Abundant Number Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
225
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
531,315
Square (n²)
263,307,528,225
Cube (n³)
135,112,308,495,735,375
Divisor count
40
σ(n) — sum of divisors
1,057,056
φ(n) — Euler's totient
233,280
Sum of prime factors
205

Primality

Prime factorization: 3 4 × 5 × 7 × 181

Nearest primes: 513,131 (−4) · 513,137 (+2)

Divisors & multiples

All divisors (40)
1 · 3 · 5 · 7 · 9 · 15 · 21 · 27 · 35 · 45 · 63 · 81 · 105 · 135 · 181 · 189 · 315 · 405 · 543 · 567 · 905 · 945 · 1267 · 1629 · 2715 · 2835 · 3801 · 4887 · 6335 · 8145 · 11403 · 14661 · 19005 · 24435 · 34209 · 57015 · 73305 · 102627 · 171045 · 513135
Aliquot sum (sum of proper divisors): 543,921
Factor pairs (a × b = 513,135)
1 × 513135
3 × 171045
5 × 102627
7 × 73305
9 × 57015
15 × 34209
21 × 24435
27 × 19005
35 × 14661
45 × 11403
63 × 8145
81 × 6335
105 × 4887
135 × 3801
181 × 2835
189 × 2715
315 × 1629
405 × 1267
543 × 945
567 × 905
First multiples
513,135 · 1,026,270 (double) · 1,539,405 · 2,052,540 · 2,565,675 · 3,078,810 · 3,591,945 · 4,105,080 · 4,618,215 · 5,131,350

Sums & aliquot sequence

As consecutive integers: 256,567 + 256,568 171,044 + 171,045 + 171,046 102,625 + 102,626 + 102,627 + 102,628 + 102,629 85,520 + 85,521 + 85,522 + 85,523 + 85,524 + 85,525
Aliquot sequence: 513,135 543,921 300,879 139,353 46,455 32,265 25,335 18,657 9,023 1,297 1 0 — terminates at zero

Continued fraction of √n

√513,135 = [716; (2, 1, 101, 1, 2, 1432)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand one hundred thirty-five
Ordinal
513135th
Binary
1111101010001101111
Octal
1752157
Hexadecimal
0x7D46F
Base64
B9Rv
One's complement
4,294,454,160 (32-bit)
Scientific notation
5.13135 × 10⁵
As a duration
513,135 s = 5 days, 22 hours, 32 minutes, 15 seconds
In other bases
ternary (3) 222001220000
quaternary (4) 1331101233
quinary (5) 112410020
senary (6) 14555343
septenary (7) 4235010
nonary (9) 861800
undecimal (11) 320587
duodecimal (12) 208b53
tridecimal (13) 14c73c
tetradecimal (14) d5007
pentadecimal (15) a2090

As an angle

513,135° = 1,425 × 360° + 135°
135° ≈ 2.356 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγρλεʹ
Chinese
五十一萬三千一百三十五
Chinese (financial)
伍拾壹萬參仟壹佰參拾伍
In other modern scripts
Eastern Arabic ٥١٣١٣٥ Devanagari ५१३१३५ Bengali ৫১৩১৩৫ Tamil ௫௧௩௧௩௫ Thai ๕๑๓๑๓๕ Tibetan ༥༡༣༡༣༥ Khmer ៥១៣១៣៥ Lao ໕໑໓໑໓໕ Burmese ၅၁၃၁၃၅

Also seen as

Hex color
#07D46F
RGB(7, 212, 111)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.111.

Address
0.7.212.111
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.111

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 513,135 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 513135 first appears in π at position 655,674 of the decimal expansion (the 655,674ordinal-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