Live analysis

504,040

504,040 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.).

504,040 (five hundred four thousand forty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 12,601. Its proper divisors sum to 630,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7B0E8.

Abundant Number Evil Number Self Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

504,028 504,029 504,030 504,031 504,032 504,033 504,034 504,035 504,036 504,037 504,038 504,039 504,040 504,041 504,042 504,043 504,044 504,045 504,046 504,047 504,048 504,049 504,050 504,051 504,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 40,405
Square (n²): 254,056,321,600
Cube (n³): 128,054,548,339,264,000
Divisor count: 16
σ(n) — sum of divisors: 1,134,180
φ(n) — Euler's totient: 201,600
Sum of prime factors: 12,612

Primality

Prime factorization: 2 ³ × 5 × 12601

Nearest primes: 504,017 (−23) · 504,047 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 12601 · 25202 · 50404 · 63005 · 100808 · 126010 · 252020 (half) · 504040

Aliquot sum (sum of proper divisors): 630,140

Factor pairs (a × b = 504,040)

1 × 504040

2 × 252020

4 × 126010

5 × 100808

8 × 63005

10 × 50404

20 × 25202

40 × 12601

First multiples

504,040 · 1,008,080 (double) · 1,512,120 · 2,016,160 · 2,520,200 · 3,024,240 · 3,528,280 · 4,032,320 · 4,536,360 · 5,040,400

Sums & aliquot sequence

As a sum of two squares: 106² + 702² = 498² + 506²

As consecutive integers: 100,806 + 100,807 + 100,808 + 100,809 + 100,810 31,495 + 31,496 + … + 31,510 6,261 + 6,262 + … + 6,340

Aliquot sequence: 504,040 → 630,140 → 911,596 → 944,552 → 1,111,768 → 1,270,712 → 1,127,128 → 986,252 → 837,976 → 872,024 → 849,376 → 1,085,984 → 1,052,110 → 841,706 → 420,856 → 394,184 → 450,616 — unresolved within range

Continued fraction of √n

√504,040 = [709; (1, 22, 1, 1, 1, 157, 9, 2, 1, 1, 13, 17, 2, 5, 4, 1, 1, 1, 1, 2, 8, 1, 1, 4, …)]

Representations

In words: five hundred four thousand forty
Ordinal: 504040th
Binary: 1111011000011101000
Octal: 1730350
Hexadecimal: 0x7B0E8
Base64: B7Do
One's complement: 4,294,463,255 (32-bit)
Scientific notation: 5.0404 × 10⁵
As a duration: 504,040 s = 5 days, 20 hours, 40 seconds

In other bases

ternary (3) 221121102011

quaternary (4) 1323003220

quinary (5) 112112130

senary (6) 14445304

septenary (7) 4166335

nonary (9) 847364

undecimal (11) 314769

duodecimal (12) 203834

tridecimal (13) 148564

tetradecimal (14) d198c

pentadecimal (15) 9e52a

As an angle

504,040° = 1,400 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋 · 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵φδμʹ
Chinese: 五十萬四千零四十
Chinese (financial): 伍拾萬肆仟零肆拾

In other modern scripts

Eastern Arabic ٥٠٤٠٤٠ Devanagari ५०४०४० Bengali ৫০৪০৪০ Tamil ௫௦௪௦௪௦ Thai ๕๐๔๐๔๐ Tibetan ༥༠༤༠༤༠ Khmer ៥០៤០៤០ Lao ໕໐໔໐໔໐ Burmese ၅၀၄၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 504040, here are decompositions:

23 + 504017 = 504040
29 + 504011 = 504040
71 + 503969 = 504040
101 + 503939 = 504040
113 + 503927 = 504040
263 + 503777 = 504040
269 + 503771 = 504040
419 + 503621 = 504040

Showing the first eight; more decompositions exist.

Hex color

#07B0E8

RGB(7, 176, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.176.232.

Address: 0.7.176.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.176.232

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 504,040 and was likely granted around 1893.

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

Look up US504,040 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 504040 first appears in π at position 71,003 of the decimal expansion (the 71,003ordinal-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.

Look up 504040 on Pi Search ↗