Live analysis

501,438

501,438 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.).

501,438 (five hundred one thousand four hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 11,939. Its proper divisors sum to 644,802, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A6BE.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

501,426 501,427 501,428 501,429 501,430 501,431 501,432 501,433 501,434 501,435 501,436 501,437 501,438 501,439 501,440 501,441 501,442 501,443 501,444 501,445 501,446 501,447 501,448 501,449 501,450

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 834,105
Square (n²): 251,440,067,844
Cube (n³): 126,081,604,739,559,672
Divisor count: 16
σ(n) — sum of divisors: 1,146,240
φ(n) — Euler's totient: 143,256
Sum of prime factors: 11,951

Primality

Prime factorization: 2 × 3 × 7 × 11939

Nearest primes: 501,427 (−11) · 501,451 (+13)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 11939 · 23878 · 35817 · 71634 · 83573 · 167146 · 250719 (half) · 501438

Aliquot sum (sum of proper divisors): 644,802

Factor pairs (a × b = 501,438)

1 × 501438

2 × 250719

3 × 167146

6 × 83573

7 × 71634

14 × 35817

21 × 23878

42 × 11939

First multiples

501,438 · 1,002,876 (double) · 1,504,314 · 2,005,752 · 2,507,190 · 3,008,628 · 3,510,066 · 4,011,504 · 4,512,942 · 5,014,380

Sums & aliquot sequence

As consecutive integers: 167,145 + 167,146 + 167,147 125,358 + 125,359 + 125,360 + 125,361 71,631 + 71,632 + … + 71,637 41,781 + 41,782 + … + 41,792

Aliquot sequence: 501,438 → 644,802 → 644,814 → 788,226 → 788,238 → 1,124,082 → 1,331,514 → 1,553,472 → 3,323,328 → 5,942,592 → 12,548,608 → 12,525,122 → 6,262,564 → 7,401,884 → 7,401,940 → 12,354,860 → 17,918,740 — unresolved within range

Continued fraction of √n

√501,438 = [708; (8, 7, 4, 1, 2, 3, 1, 5, 2, 63, 1, 10, 1, 2, 1, 1, 2, 1, 66, 1, 2, 1, 1, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: five hundred one thousand four hundred thirty-eight
Ordinal: 501438th
Binary: 1111010011010111110
Octal: 1723276
Hexadecimal: 0x7A6BE
Base64: B6a+
One's complement: 4,294,465,857 (32-bit)
Scientific notation: 5.01438 × 10⁵
As a duration: 501,438 s = 5 days, 19 hours, 17 minutes, 18 seconds

In other bases

ternary (3) 221110211210

quaternary (4) 1322122332

quinary (5) 112021223

senary (6) 14425250

septenary (7) 4155630

nonary (9) 843753

undecimal (11) 312813

duodecimal (12) 202226

tridecimal (13) 147312

tetradecimal (14) d0a50

pentadecimal (15) 9d893

As an angle

501,438° = 1,392 × 360° + 318°

318° ≈ 5.55 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵φαυληʹ
Chinese: 五十萬一千四百三十八
Chinese (financial): 伍拾萬壹仟肆佰參拾捌

In other modern scripts

Eastern Arabic ٥٠١٤٣٨ Devanagari ५०१४३८ Bengali ৫০১৪৩৮ Tamil ௫௦௧௪௩௮ Thai ๕๐๑๔๓๘ Tibetan ༥༠༡༤༣༨ Khmer ៥០១៤៣៨ Lao ໕໐໑໔໓໘ Burmese ၅၀၁၄၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 501438, here are decompositions:

11 + 501427 = 501438
19 + 501419 = 501438
29 + 501409 = 501438
37 + 501401 = 501438
71 + 501367 = 501438
97 + 501341 = 501438
139 + 501299 = 501438
151 + 501287 = 501438

Showing the first eight; more decompositions exist.

Hex color

#07A6BE

RGB(7, 166, 190)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.166.190.

Address: 0.7.166.190
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.166.190

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 501,438 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 US501,438 on Google Patents ↗ Look up on USPTO ↗