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513,825

513,825 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.).

513,825 (five hundred thirteen thousand eight hundred twenty-five) is an odd 6-digit number. It is a composite number with 48 divisors, and factors as 3 × 5² × 13 × 17 × 31. Written other ways, in hexadecimal, 0x7D721.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
24
Digit product
1,200
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
528,315
Square (n²)
264,016,130,625
Cube (n³)
135,658,088,318,390,625
Divisor count
48
σ(n) — sum of divisors
999,936
φ(n) — Euler's totient
230,400
Sum of prime factors
74

Primality

Prime factorization: 3 × 5 2 × 13 × 17 × 31

Nearest primes: 513,781 (−44) · 513,829 (+4)

Divisors & multiples

All divisors (48)
1 · 3 · 5 · 13 · 15 · 17 · 25 · 31 · 39 · 51 · 65 · 75 · 85 · 93 · 155 · 195 · 221 · 255 · 325 · 403 · 425 · 465 · 527 · 663 · 775 · 975 · 1105 · 1209 · 1275 · 1581 · 2015 · 2325 · 2635 · 3315 · 5525 · 6045 · 6851 · 7905 · 10075 · 13175 · 16575 · 20553 · 30225 · 34255 · 39525 · 102765 · 171275 · 513825
Aliquot sum (sum of proper divisors): 486,111
Factor pairs (a × b = 513,825)
1 × 513825
3 × 171275
5 × 102765
13 × 39525
15 × 34255
17 × 30225
25 × 20553
31 × 16575
39 × 13175
51 × 10075
65 × 7905
75 × 6851
85 × 6045
93 × 5525
155 × 3315
195 × 2635
221 × 2325
255 × 2015
325 × 1581
403 × 1275
425 × 1209
465 × 1105
527 × 975
663 × 775
First multiples
513,825 · 1,027,650 (double) · 1,541,475 · 2,055,300 · 2,569,125 · 3,082,950 · 3,596,775 · 4,110,600 · 4,624,425 · 5,138,250

Sums & aliquot sequence

As consecutive integers: 256,912 + 256,913 171,274 + 171,275 + 171,276 102,763 + 102,764 + 102,765 + 102,766 + 102,767 85,635 + 85,636 + 85,637 + 85,638 + 85,639 + 85,640
Aliquot sequence: 513,825 486,111 183,073 32,387 373 1 0 — terminates at zero

Continued fraction of √n

√513,825 = [716; (1, 4, 2, 3, 7, 1, 2, 1, 1, 3, 4, 5, 2, 1, 2, 1, 2, 5, 4, 3, 1, 1, 2, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand eight hundred twenty-five
Ordinal
513825th
Binary
1111101011100100001
Octal
1753441
Hexadecimal
0x7D721
Base64
B9ch
One's complement
4,294,453,470 (32-bit)
Scientific notation
5.13825 × 10⁵
As a duration
513,825 s = 5 days, 22 hours, 43 minutes, 45 seconds
In other bases
ternary (3) 222002211120
quaternary (4) 1331130201
quinary (5) 112420300
senary (6) 15002453
septenary (7) 4240014
nonary (9) 862746
undecimal (11) 321054
duodecimal (12) 209429
tridecimal (13) 14cb50
tetradecimal (14) d537b
pentadecimal (15) a23a0

As an angle

513,825° = 1,427 × 360° + 105°
105° ≈ 1.833 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγωκεʹ
Chinese
五十一萬三千八百二十五
Chinese (financial)
伍拾壹萬參仟捌佰貳拾伍
In other modern scripts
Eastern Arabic ٥١٣٨٢٥ Devanagari ५१३८२५ Bengali ৫১৩৮২৫ Tamil ௫௧௩௮௨௫ Thai ๕๑๓๘๒๕ Tibetan ༥༡༣༨༢༥ Khmer ៥១៣៨២៥ Lao ໕໑໓໘໒໕ Burmese ၅၁၃၈၂၅

Also seen as

Hex color
#07D721
RGB(7, 215, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.33.

Address
0.7.215.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.215.33

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 513,825 and was likely granted around 1893.

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

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