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504,121

504,121 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.).

504,121 (five hundred four thousand one hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7B139.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
121,405
Square (n²)
254,137,982,641
Cube (n³)
128,116,293,946,963,561
Divisor count
2
σ(n) — sum of divisors
504,122
φ(n) — Euler's totient
504,120

Primality

504,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 504121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 504,121)
1 × 504121
First multiples
504,121 · 1,008,242 (double) · 1,512,363 · 2,016,484 · 2,520,605 · 3,024,726 · 3,528,847 · 4,032,968 · 4,537,089 · 5,041,210

Sums & aliquot sequence

As a sum of two squares: 461² + 540²
As consecutive integers: 252,060 + 252,061

Continued fraction of √n

√504,121 = [710; (67, 1, 1, 1, 1, 1, 2, 2, 1, 5, 4, 1, 2, 2, 1, 1, 1, 1, 18, 3, 8, 7, 1, 176, …)]

Representations

In words
five hundred four thousand one hundred twenty-one
Ordinal
504121st
Binary
1111011000100111001
Octal
1730471
Hexadecimal
0x7B139
Base64
B7E5
One's complement
4,294,463,174 (32-bit)
Scientific notation
5.04121 × 10⁵
As a duration
504,121 s = 5 days, 20 hours, 2 minutes, 1 second
In other bases
ternary (3) 221121112011
quaternary (4) 1323010321
quinary (5) 112112441
senary (6) 14445521
septenary (7) 4166512
nonary (9) 847464
undecimal (11) 314832
duodecimal (12) 2038a1
tridecimal (13) 1485c7
tetradecimal (14) d1a09
pentadecimal (15) 9e581

As an angle

504,121° = 1,400 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋 𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵φδρκαʹ
Chinese
五十萬四千一百二十一
Chinese (financial)
伍拾萬肆仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ٥٠٤١٢١ Devanagari ५०४१२१ Bengali ৫০৪১২১ Tamil ௫௦௪௧௨௧ Thai ๕๐๔๑๒๑ Tibetan ༥༠༤༡༢༡ Khmer ៥០៤១២១ Lao ໕໐໔໑໒໑ Burmese ၅၀၄၁၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07B139
RGB(7, 177, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.177.57.

Address
0.7.177.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.177.57

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 504,121 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 504121 first appears in π at position 387,183 of the decimal expansion (the 387,183ordinal-suffix:rd 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.