Live analysis

501,380

501,380 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.).

501,380 (five hundred one thousand three hundred eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 43 × 53. Its proper divisors sum to 696,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A684.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

501,368 501,369 501,370 501,371 501,372 501,373 501,374 501,375 501,376 501,377 501,378 501,379 501,380 501,381 501,382 501,383 501,384 501,385 501,386 501,387 501,388 501,389 501,390 501,391 501,392

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 83,105
Square (n²): 251,381,904,400
Cube (n³): 126,037,859,228,072,000
Divisor count: 48
σ(n) — sum of divisors: 1,197,504
φ(n) — Euler's totient: 174,720
Sum of prime factors: 116

Primality

Prime factorization: 2 ² × 5 × 11 × 43 × 53

Nearest primes: 501,367 (−13) · 501,383 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 43 · 44 · 53 · 55 · 86 · 106 · 110 · 172 · 212 · 215 · 220 · 265 · 430 · 473 · 530 · 583 · 860 · 946 · 1060 · 1166 · 1892 · 2279 · 2332 · 2365 · 2915 · 4558 · 4730 · 5830 · 9116 · 9460 · 11395 · 11660 · 22790 · 25069 · 45580 · 50138 · 100276 · 125345 · 250690 (half) · 501380

Aliquot sum (sum of proper divisors): 696,124

Factor pairs (a × b = 501,380)

1 × 501380

2 × 250690

4 × 125345

5 × 100276

10 × 50138

11 × 45580

20 × 25069

22 × 22790

43 × 11660

44 × 11395

53 × 9460

55 × 9116

86 × 5830

106 × 4730

110 × 4558

172 × 2915

212 × 2365

215 × 2332

220 × 2279

265 × 1892

430 × 1166

473 × 1060

530 × 946

583 × 860

First multiples

501,380 · 1,002,760 (double) · 1,504,140 · 2,005,520 · 2,506,900 · 3,008,280 · 3,509,660 · 4,011,040 · 4,512,420 · 5,013,800

Sums & aliquot sequence

As consecutive integers: 100,274 + 100,275 + 100,276 + 100,277 + 100,278 62,669 + 62,670 + … + 62,676 45,575 + 45,576 + … + 45,585 12,515 + 12,516 + … + 12,554

Aliquot sequence: 501,380 → 696,124 → 736,244 → 565,420 → 692,564 → 519,430 → 425,210 → 349,582 → 180,194 → 135,262 → 67,634 → 48,334 → 37,346 → 19,678 → 9,842 → 8,398 → 6,722 — unresolved within range

Continued fraction of √n

√501,380 = [708; (12, 4, 1, 4, 2, 5, 1, 21, 3, 1, 1, 5, 1, 5, 6, 1, 1, 5, 1, 1, 1, 4, 1, 7, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: five hundred one thousand three hundred eighty
Ordinal: 501380th
Binary: 1111010011010000100
Octal: 1723204
Hexadecimal: 0x7A684
Base64: B6aE
One's complement: 4,294,465,915 (32-bit)
Scientific notation: 5.0138 × 10⁵
As a duration: 501,380 s = 5 days, 19 hours, 16 minutes, 20 seconds

In other bases

ternary (3) 221110202122

quaternary (4) 1322122010

quinary (5) 112021010

senary (6) 14425112

septenary (7) 4155515

nonary (9) 843678

undecimal (11) 312770

duodecimal (12) 202198

tridecimal (13) 147299

tetradecimal (14) d0a0c

pentadecimal (15) 9d855

As an angle

501,380° = 1,392 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵φατπʹ
Chinese: 五十萬一千三百八十
Chinese (financial): 伍拾萬壹仟參佰捌拾

In other modern scripts

Eastern Arabic ٥٠١٣٨٠ Devanagari ५०१३८० Bengali ৫০১৩৮০ Tamil ௫௦௧௩௮௦ Thai ๕๐๑๓๘๐ Tibetan ༥༠༡༣༨༠ Khmer ៥០១៣៨០ Lao ໕໐໑໓໘໐ Burmese ၅၀၁၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 501380, here are decompositions:

13 + 501367 = 501380
37 + 501343 = 501380
109 + 501271 = 501380
151 + 501229 = 501380
157 + 501223 = 501380
163 + 501217 = 501380
193 + 501187 = 501380
223 + 501157 = 501380

Showing the first eight; more decompositions exist.

Hex color

#07A684

RGB(7, 166, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.166.132.

Address: 0.7.166.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.166.132

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 501,380 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 US501,380 on Google Patents ↗ Look up on USPTO ↗