Live analysis

473,772

473,772 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.).

473,772 (four hundred seventy-three thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 3,037. Its proper divisors sum to 717,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73AAC.

Abundant Number Cube-Free Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

473,760 473,761 473,762 473,763 473,764 473,765 473,766 473,767 473,768 473,769 473,770 473,771 473,772 473,773 473,774 473,775 473,776 473,777 473,778 473,779 473,780 473,781 473,782 473,783 473,784

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 8,232
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 277,374
Square (n²): 224,459,907,984
Cube (n³): 106,342,819,525,395,648
Divisor count: 24
σ(n) — sum of divisors: 1,190,896
φ(n) — Euler's totient: 145,728
Sum of prime factors: 3,057

Primality

Prime factorization: 2 ² × 3 × 13 × 3037

Nearest primes: 473,761 (−11) · 473,789 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 3037 · 6074 · 9111 · 12148 · 18222 · 36444 · 39481 · 78962 · 118443 · 157924 · 236886 (half) · 473772

Aliquot sum (sum of proper divisors): 717,124

Factor pairs (a × b = 473,772)

1 × 473772

2 × 236886

3 × 157924

4 × 118443

6 × 78962

12 × 39481

13 × 36444

26 × 18222

39 × 12148

52 × 9111

78 × 6074

156 × 3037

First multiples

473,772 · 947,544 (double) · 1,421,316 · 1,895,088 · 2,368,860 · 2,842,632 · 3,316,404 · 3,790,176 · 4,263,948 · 4,737,720

Sums & aliquot sequence

As consecutive integers: 157,923 + 157,924 + 157,925 59,218 + 59,219 + … + 59,225 36,438 + 36,439 + … + 36,450 19,729 + 19,730 + … + 19,752

Aliquot sequence: 473,772 → 717,124 → 537,850 → 497,798 → 407,818 → 203,912 → 184,888 → 198,152 → 216,568 → 249,992 → 218,758 → 109,382 → 92,890 → 98,342 → 49,174 → 27,866 → 13,936 — unresolved within range

Continued fraction of √n

√473,772 = [688; (3, 4, 1, 1, 1, 3, 59, 1, 1, 2, 1, 2, 12, 1, 6, 1, 1, 2, 14, 1, 1, 3, 6, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-three thousand seven hundred seventy-two
Ordinal: 473772nd
Binary: 1110011101010101100
Octal: 1635254
Hexadecimal: 0x73AAC
Base64: Bzqs
One's complement: 4,294,493,523 (32-bit)
Scientific notation: 4.73772 × 10⁵
As a duration: 473,772 s = 5 days, 11 hours, 36 minutes, 12 seconds

In other bases

ternary (3) 220001220010

quaternary (4) 1303222230

quinary (5) 110130042

senary (6) 14053220

septenary (7) 4012155

nonary (9) 801803

undecimal (11) 2a3a52

duodecimal (12) 1aa210

tridecimal (13) 137850

tetradecimal (14) c492c

pentadecimal (15) 9559c

As an angle

473,772° = 1,316 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υογψοβʹ
Chinese: 四十七萬三千七百七十二
Chinese (financial): 肆拾柒萬參仟柒佰柒拾貳

In other modern scripts

Eastern Arabic ٤٧٣٧٧٢ Devanagari ४७३७७२ Bengali ৪৭৩৭৭২ Tamil ௪௭௩௭௭௨ Thai ๔๗๓๗๗๒ Tibetan ༤༧༣༧༧༢ Khmer ៤៧៣៧៧២ Lao ໔໗໓໗໗໒ Burmese ၄၇၃၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473772, here are decompositions:

11 + 473761 = 473772
29 + 473743 = 473772
31 + 473741 = 473772
43 + 473729 = 473772
53 + 473719 = 473772
113 + 473659 = 473772
139 + 473633 = 473772
193 + 473579 = 473772

Showing the first eight; more decompositions exist.

Hex color

#073AAC

RGB(7, 58, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.58.172.

Address: 0.7.58.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.58.172

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 473,772 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US473,772 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 473772 first appears in π at position 317,766 of the decimal expansion (the 317,766ordinal-suffix:th 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 473772 on Pi Search ↗