Live analysis

508,040

508,040 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.).

508,040 (five hundred eight thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 13 × 977. Its proper divisors sum to 724,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7C088.

Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

508,028 508,029 508,030 508,031 508,032 508,033 508,034 508,035 508,036 508,037 508,038 508,039 508,040 508,041 508,042 508,043 508,044 508,045 508,046 508,047 508,048 508,049 508,050 508,051 508,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 40,805
Square (n²): 258,104,641,600
Cube (n³): 131,127,482,118,464,000
Divisor count: 32
σ(n) — sum of divisors: 1,232,280
φ(n) — Euler's totient: 187,392
Sum of prime factors: 1,001

Primality

Prime factorization: 2 ³ × 5 × 13 × 977

Nearest primes: 508,037 (−3) · 508,073 (+33)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 40 · 52 · 65 · 104 · 130 · 260 · 520 · 977 · 1954 · 3908 · 4885 · 7816 · 9770 · 12701 · 19540 · 25402 · 39080 · 50804 · 63505 · 101608 · 127010 · 254020 (half) · 508040

Aliquot sum (sum of proper divisors): 724,240

Factor pairs (a × b = 508,040)

1 × 508040

2 × 254020

4 × 127010

5 × 101608

8 × 63505

10 × 50804

13 × 39080

20 × 25402

26 × 19540

40 × 12701

52 × 9770

65 × 7816

104 × 4885

130 × 3908

260 × 1954

520 × 977

First multiples

508,040 · 1,016,080 (double) · 1,524,120 · 2,032,160 · 2,540,200 · 3,048,240 · 3,556,280 · 4,064,320 · 4,572,360 · 5,080,400

Sums & aliquot sequence

As a sum of two squares: 98² + 706² = 274² + 658² = 362² + 614² = 502² + 506²

As consecutive integers: 101,606 + 101,607 + 101,608 + 101,609 + 101,610 39,074 + 39,075 + … + 39,086 31,745 + 31,746 + … + 31,760 7,784 + 7,785 + … + 7,848

Aliquot sequence: 508,040 → 724,240 → 1,114,928 → 1,172,872 → 1,026,278 → 653,122 → 326,564 → 338,716 → 338,772 → 597,548 → 597,604 → 619,346 → 566,062 → 404,354 → 206,074 → 182,726 → 93,298 — unresolved within range

Continued fraction of √n

√508,040 = [712; (1, 3, 2, 1, 355, 1, 2, 3, 1, 1424)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: five hundred eight thousand forty
Ordinal: 508040th
Binary: 1111100000010001000
Octal: 1740210
Hexadecimal: 0x7C088
Base64: B8CI
One's complement: 4,294,459,255 (32-bit)
Scientific notation: 5.0804 × 10⁵
As a duration: 508,040 s = 5 days, 21 hours, 7 minutes, 20 seconds

In other bases

ternary (3) 221210220022

quaternary (4) 1330002020

quinary (5) 112224130

senary (6) 14520012

septenary (7) 4214111

nonary (9) 853808

undecimal (11) 317775

duodecimal (12) 206008

tridecimal (13) 14a320

tetradecimal (14) d3208

pentadecimal (15) a07e5

As an angle

508,040° = 1,411 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵φημʹ
Chinese: 五十萬八千零四十
Chinese (financial): 伍拾萬捌仟零肆拾

In other modern scripts

Eastern Arabic ٥٠٨٠٤٠ Devanagari ५०८०४० Bengali ৫০৮০৪০ Tamil ௫௦௮௦௪௦ Thai ๕๐๘๐๔๐ Tibetan ༥༠༨༠༤༠ Khmer ៥០៨០៤០ Lao ໕໐໘໐໔໐ Burmese ၅၀၈၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 508040, here are decompositions:

3 + 508037 = 508040
7 + 508033 = 508040
19 + 508021 = 508040
31 + 508009 = 508040
61 + 507979 = 508040
79 + 507961 = 508040
103 + 507937 = 508040
139 + 507901 = 508040

Showing the first eight; more decompositions exist.

Hex color

#07C088

RGB(7, 192, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.192.136.

Address: 0.7.192.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.192.136

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 508,040 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 US508,040 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 508040 first appears in π at position 240,291 of the decimal expansion (the 240,291ordinal-suffix:st 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 508040 on Pi Search ↗