Live analysis

501,480

501,480 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.).

501,480 (five hundred one thousand four hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 7 × 199. Its proper divisors sum to 1,370,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A6E8.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

501,468 501,469 501,470 501,471 501,472 501,473 501,474 501,475 501,476 501,477 501,478 501,479 501,480 501,481 501,482 501,483 501,484 501,485 501,486 501,487 501,488 501,489 501,490 501,491 501,492

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 84,105
Square (n²): 251,482,190,400
Cube (n³): 126,113,288,841,792,000
Divisor count: 96
σ(n) — sum of divisors: 1,872,000
φ(n) — Euler's totient: 114,048
Sum of prime factors: 223

Primality

Prime factorization: 2 ³ × 3 ² × 5 × 7 × 199

Nearest primes: 501,463 (−17) · 501,493 (+13)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 24 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 56 · 60 · 63 · 70 · 72 · 84 · 90 · 105 · 120 · 126 · 140 · 168 · 180 · 199 · 210 · 252 · 280 · 315 · 360 · 398 · 420 · 504 · 597 · 630 · 796 · 840 · 995 · 1194 · 1260 · 1393 · 1592 · 1791 · 1990 · 2388 · 2520 · 2786 · 2985 · 3582 · 3980 · 4179 · 4776 · 5572 · 5970 · 6965 · 7164 · 7960 · 8358 · 8955 · 11144 · 11940 · 12537 · 13930 · 14328 · 16716 · 17910 · 20895 · 23880 · 25074 · 27860 · 33432 · 35820 · 41790 · 50148 · 55720 · 62685 · 71640 · 83580 · 100296 · 125370 · 167160 · 250740 (half) · 501480

Aliquot sum (sum of proper divisors): 1,370,520

Factor pairs (a × b = 501,480)

1 × 501480

2 × 250740

3 × 167160

4 × 125370

5 × 100296

6 × 83580

7 × 71640

8 × 62685

9 × 55720

10 × 50148

12 × 41790

14 × 35820

15 × 33432

18 × 27860

20 × 25074

21 × 23880

24 × 20895

28 × 17910

30 × 16716

35 × 14328

36 × 13930

40 × 12537

42 × 11940

45 × 11144

56 × 8955

60 × 8358

63 × 7960

70 × 7164

72 × 6965

84 × 5970

90 × 5572

105 × 4776

120 × 4179

126 × 3980

140 × 3582

168 × 2985

180 × 2786

199 × 2520

210 × 2388

252 × 1990

280 × 1791

315 × 1592

360 × 1393

398 × 1260

420 × 1194

504 × 995

597 × 840

630 × 796

First multiples

501,480 · 1,002,960 (double) · 1,504,440 · 2,005,920 · 2,507,400 · 3,008,880 · 3,510,360 · 4,011,840 · 4,513,320 · 5,014,800

Sums & aliquot sequence

As consecutive integers: 167,159 + 167,160 + 167,161 100,294 + 100,295 + 100,296 + 100,297 + 100,298 71,637 + 71,638 + … + 71,643 55,716 + 55,717 + … + 55,724

Aliquot sequence: 501,480 → 1,370,520 → 3,351,240 → 8,312,760 → 20,199,240 → 48,488,760 → 132,951,240 → 312,872,760 → 791,448,840 → 2,455,923,960 → 6,686,924,040 → 15,124,361,040 — keeps growing

Continued fraction of √n

√501,480 = [708; (6, 1, 1, 3, 1, 16, 1, 2, 2, 1, 1, 11, 8, 1, 1, 4, 1, 1, 8, 11, 1, 1, 2, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: five hundred one thousand four hundred eighty
Ordinal: 501480th
Binary: 1111010011011101000
Octal: 1723350
Hexadecimal: 0x7A6E8
Base64: B6bo
One's complement: 4,294,465,815 (32-bit)
Scientific notation: 5.0148 × 10⁵
As a duration: 501,480 s = 5 days, 19 hours, 18 minutes

In other bases

ternary (3) 221110220100

quaternary (4) 1322123220

quinary (5) 112021410

senary (6) 14425400

septenary (7) 4156020

nonary (9) 843810

undecimal (11) 312851

duodecimal (12) 202260

tridecimal (13) 147345

tetradecimal (14) d0a80

pentadecimal (15) 9d8c0

As an angle

501,480° = 1,393 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵φαυπʹ
Chinese: 五十萬一千四百八十
Chinese (financial): 伍拾萬壹仟肆佰捌拾

In other modern scripts

Eastern Arabic ٥٠١٤٨٠ Devanagari ५०१४८० Bengali ৫০১৪৮০ Tamil ௫௦௧௪௮௦ Thai ๕๐๑๔๘๐ Tibetan ༥༠༡༤༨༠ Khmer ៥០១៤៨០ Lao ໕໐໑໔໘໐ Burmese ၅၀၁၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 501480, here are decompositions:

17 + 501463 = 501480
29 + 501451 = 501480
53 + 501427 = 501480
61 + 501419 = 501480
71 + 501409 = 501480
79 + 501401 = 501480
97 + 501383 = 501480
113 + 501367 = 501480

Showing the first eight; more decompositions exist.

Hex color

#07A6E8

RGB(7, 166, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.166.232.

Address: 0.7.166.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.166.232

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 501,480 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 US501,480 on Google Patents ↗ Look up on USPTO ↗