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514,008

514,008 is a composite number, even.

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.).

514,008 (five hundred fourteen thousand eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3² × 11² × 59. Its proper divisors sum to 1,042,092, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D7D8.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
800,415
Square (n²)
264,204,224,064
Cube (n³)
135,803,084,802,688,512
Divisor count
72
σ(n) — sum of divisors
1,556,100
φ(n) — Euler's totient
153,120
Sum of prime factors
93

Primality

Prime factorization: 2 3 × 3 2 × 11 2 × 59

Nearest primes: 514,001 (−7) · 514,009 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 18 · 22 · 24 · 33 · 36 · 44 · 59 · 66 · 72 · 88 · 99 · 118 · 121 · 132 · 177 · 198 · 236 · 242 · 264 · 354 · 363 · 396 · 472 · 484 · 531 · 649 · 708 · 726 · 792 · 968 · 1062 · 1089 · 1298 · 1416 · 1452 · 1947 · 2124 · 2178 · 2596 · 2904 · 3894 · 4248 · 4356 · 5192 · 5841 · 7139 · 7788 · 8712 · 11682 · 14278 · 15576 · 21417 · 23364 · 28556 · 42834 · 46728 · 57112 · 64251 · 85668 · 128502 · 171336 · 257004 (half) · 514008
Aliquot sum (sum of proper divisors): 1,042,092
Factor pairs (a × b = 514,008)
1 × 514008
2 × 257004
3 × 171336
4 × 128502
6 × 85668
8 × 64251
9 × 57112
11 × 46728
12 × 42834
18 × 28556
22 × 23364
24 × 21417
33 × 15576
36 × 14278
44 × 11682
59 × 8712
66 × 7788
72 × 7139
88 × 5841
99 × 5192
118 × 4356
121 × 4248
132 × 3894
177 × 2904
198 × 2596
236 × 2178
242 × 2124
264 × 1947
354 × 1452
363 × 1416
396 × 1298
472 × 1089
484 × 1062
531 × 968
649 × 792
708 × 726
First multiples
514,008 · 1,028,016 (double) · 1,542,024 · 2,056,032 · 2,570,040 · 3,084,048 · 3,598,056 · 4,112,064 · 4,626,072 · 5,140,080

Sums & aliquot sequence

As consecutive integers: 171,335 + 171,336 + 171,337 57,108 + 57,109 + … + 57,116 46,723 + 46,724 + … + 46,733 32,118 + 32,119 + … + 32,133
Aliquot sequence: 514,008 1,042,092 1,659,908 1,244,938 632,822 357,754 178,880 290,512 282,864 467,088 776,880 2,066,688 4,801,152 7,952,928 13,497,312 22,548,768 42,914,784 — unresolved within range

Continued fraction of √n

√514,008 = [716; (1, 16, 1, 2, 2, 1, 2, 1, 1, 1, 2, 11, 2, 8, 179, 8, 2, 11, 2, 1, 1, 1, 2, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
five hundred fourteen thousand eight
Ordinal
514008th
Binary
1111101011111011000
Octal
1753730
Hexadecimal
0x7D7D8
Base64
B9fY
One's complement
4,294,453,287 (32-bit)
Scientific notation
5.14008 × 10⁵
As a duration
514,008 s = 5 days, 22 hours, 46 minutes, 48 seconds
In other bases
ternary (3) 222010002100
quaternary (4) 1331133120
quinary (5) 112422013
senary (6) 15003400
septenary (7) 4240365
nonary (9) 863070
undecimal (11) 321200
duodecimal (12) 209560
tridecimal (13) 14cc61
tetradecimal (14) d546c
pentadecimal (15) a2473

As an angle

514,008° = 1,427 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιδηʹ
Chinese
五十一萬四千零八
Chinese (financial)
伍拾壹萬肆仟零捌
In other modern scripts
Eastern Arabic ٥١٤٠٠٨ Devanagari ५१४००८ Bengali ৫১৪০০৮ Tamil ௫௧௪௦௦௮ Thai ๕๑๔๐๐๘ Tibetan ༥༡༤༠༠༨ Khmer ៥១៤០០៨ Lao ໕໑໔໐໐໘ Burmese ၅၁၄၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 514008, here are decompositions:

  • 7 + 514001 = 514008
  • 17 + 513991 = 514008
  • 31 + 513977 = 514008
  • 71 + 513937 = 514008
  • 109 + 513899 = 514008
  • 127 + 513881 = 514008
  • 137 + 513871 = 514008
  • 167 + 513841 = 514008

Showing the first eight; more decompositions exist.

Hex color
#07D7D8
RGB(7, 215, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.216.

Address
0.7.215.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.215.216

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 514,008 and was likely granted around 1894.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.