Live analysis

504,072

504,072 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.).

504,072 (five hundred four thousand seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 7,001. Its proper divisors sum to 861,318, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7B108.

Abundant Number Evil Number Happy Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

504,060 504,061 504,062 504,063 504,064 504,065 504,066 504,067 504,068 504,069 504,070 504,071 504,072 504,073 504,074 504,075 504,076 504,077 504,078 504,079 504,080 504,081 504,082 504,083 504,084

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 270,405
Square (n²): 254,088,581,184
Cube (n³): 128,078,939,294,581,248
Divisor count: 24
σ(n) — sum of divisors: 1,365,390
φ(n) — Euler's totient: 168,000
Sum of prime factors: 7,013

Primality

Prime factorization: 2 ³ × 3 ² × 7001

Nearest primes: 504,061 (−11) · 504,073 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 7001 · 14002 · 21003 · 28004 · 42006 · 56008 · 63009 · 84012 · 126018 · 168024 · 252036 (half) · 504072

Aliquot sum (sum of proper divisors): 861,318

Factor pairs (a × b = 504,072)

1 × 504072

2 × 252036

3 × 168024

4 × 126018

6 × 84012

8 × 63009

9 × 56008

12 × 42006

18 × 28004

24 × 21003

36 × 14002

72 × 7001

First multiples

504,072 · 1,008,144 (double) · 1,512,216 · 2,016,288 · 2,520,360 · 3,024,432 · 3,528,504 · 4,032,576 · 4,536,648 · 5,040,720

Sums & aliquot sequence

As a sum of two squares: 246² + 666²

As consecutive integers: 168,023 + 168,024 + 168,025 56,004 + 56,005 + … + 56,012 31,497 + 31,498 + … + 31,512 10,478 + 10,479 + … + 10,525

Aliquot sequence: 504,072 → 861,318 → 1,026,282 → 1,026,294 → 1,026,306 → 1,392,318 → 1,624,410 → 2,599,290 → 4,392,090 → 7,320,870 → 11,713,626 → 14,316,774 → 14,527,434 → 15,574,326 → 15,748,602 → 15,748,614 → 24,963,066 — unresolved within range

Continued fraction of √n

√504,072 = [709; (1, 49, 1, 2, 2, 28, 1, 1, 4, 2, 3, 1, 1, 2, 8, 3, 1, 2, 1, 2, 4, 1, 1, 2, …)]

Representations

In words: five hundred four thousand seventy-two
Ordinal: 504072nd
Binary: 1111011000100001000
Octal: 1730410
Hexadecimal: 0x7B108
Base64: B7EI
One's complement: 4,294,463,223 (32-bit)
Scientific notation: 5.04072 × 10⁵
As a duration: 504,072 s = 5 days, 20 hours, 1 minute, 12 seconds

In other bases

ternary (3) 221121110100

quaternary (4) 1323010020

quinary (5) 112112242

senary (6) 14445400

septenary (7) 4166412

nonary (9) 847410

undecimal (11) 314798

duodecimal (12) 203860

tridecimal (13) 14858a

tetradecimal (14) d19b2

pentadecimal (15) 9e54c

As an angle

504,072° = 1,400 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵φδοβʹ
Chinese: 五十萬四千零七十二
Chinese (financial): 伍拾萬肆仟零柒拾貳

In other modern scripts

Eastern Arabic ٥٠٤٠٧٢ Devanagari ५०४०७२ Bengali ৫০৪০৭২ Tamil ௫௦௪௦௭௨ Thai ๕๐๔๐๗๒ Tibetan ༥༠༤༠༧༢ Khmer ៥០៤០៧២ Lao ໕໐໔໐໗໒ Burmese ၅၀၄၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 504072, here are decompositions:

11 + 504061 = 504072
61 + 504011 = 504072
71 + 504001 = 504072
83 + 503989 = 504072
89 + 503983 = 504072
103 + 503969 = 504072
109 + 503963 = 504072
113 + 503959 = 504072

Showing the first eight; more decompositions exist.

Hex color

#07B108

RGB(7, 177, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.177.8.

Address: 0.7.177.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.177.8

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 504,072 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 US504,072 on Google Patents ↗ Look up on USPTO ↗