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514,001

514,001 is a prime, 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.).

514,001 (five hundred fourteen thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D7D1.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
100,415
Square (n²)
264,197,028,001
Cube (n³)
135,797,536,589,542,001
Divisor count
2
σ(n) — sum of divisors
514,002
φ(n) — Euler's totient
514,000

Primality

514,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 514001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 514,001)
1 × 514001
First multiples
514,001 · 1,028,002 (double) · 1,542,003 · 2,056,004 · 2,570,005 · 3,084,006 · 3,598,007 · 4,112,008 · 4,626,009 · 5,140,010

Sums & aliquot sequence

As a sum of two squares: 176² + 695²
As consecutive integers: 257,000 + 257,001

Continued fraction of √n

√514,001 = [716; (1, 15, 3, 2, 1, 1, 4, 1, 4, 1, 1, 1, 2, 2, 3, 1, 19, 2, 2, 1, 2, 4, 8, 1, …)]

Representations

In words
five hundred fourteen thousand one
Ordinal
514001st
Binary
1111101011111010001
Octal
1753721
Hexadecimal
0x7D7D1
Base64
B9fR
One's complement
4,294,453,294 (32-bit)
Scientific notation
5.14001 × 10⁵
As a duration
514,001 s = 5 days, 22 hours, 46 minutes, 41 seconds
In other bases
ternary (3) 222010002002
quaternary (4) 1331133101
quinary (5) 112422001
senary (6) 15003345
septenary (7) 4240355
nonary (9) 863062
undecimal (11) 3211a4
duodecimal (12) 209555
tridecimal (13) 14cc57
tetradecimal (14) d5465
pentadecimal (15) a246b

As an angle

514,001° = 1,427 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵φιδαʹ
Chinese
五十一萬四千零一
Chinese (financial)
伍拾壹萬肆仟零壹
In other modern scripts
Eastern Arabic ٥١٤٠٠١ Devanagari ५१४००१ Bengali ৫১৪০০১ Tamil ௫௧௪௦௦௧ Thai ๕๑๔๐๐๑ Tibetan ༥༡༤༠༠༡ Khmer ៥១៤០០១ Lao ໕໑໔໐໐໑ Burmese ၅၁၄၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07D7D1
RGB(7, 215, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.209.

Address
0.7.215.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.215.209

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 514,001 and was likely granted around 1894.

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

Position in π

The digit sequence 514001 first appears in π at position 22,054 of the decimal expansion (the 22,054ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.