Live analysis

473,940

473,940 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.).

473,940 (four hundred seventy-three thousand nine hundred forty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 2,633. Its proper divisors sum to 964,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73B54.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

473,928 473,929 473,930 473,931 473,932 473,933 473,934 473,935 473,936 473,937 473,938 473,939 473,940 473,941 473,942 473,943 473,944 473,945 473,946 473,947 473,948 473,949 473,950 473,951 473,952

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Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 49,374
Recamán's sequence: a(138,348) = 473,940
Square (n²): 224,619,123,600
Cube (n³): 106,455,987,438,984,000
Divisor count: 36
σ(n) — sum of divisors: 1,438,164
φ(n) — Euler's totient: 126,336
Sum of prime factors: 2,648

Primality

Prime factorization: 2 ² × 3 ² × 5 × 2633

Nearest primes: 473,939 (−1) · 473,951 (+11)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 180 · 2633 · 5266 · 7899 · 10532 · 13165 · 15798 · 23697 · 26330 · 31596 · 39495 · 47394 · 52660 · 78990 · 94788 · 118485 · 157980 · 236970 (half) · 473940

Aliquot sum (sum of proper divisors): 964,224

Factor pairs (a × b = 473,940)

1 × 473940

2 × 236970

3 × 157980

4 × 118485

5 × 94788

6 × 78990

9 × 52660

10 × 47394

12 × 39495

15 × 31596

18 × 26330

20 × 23697

30 × 15798

36 × 13165

45 × 10532

60 × 7899

90 × 5266

180 × 2633

First multiples

473,940 · 947,880 (double) · 1,421,820 · 1,895,760 · 2,369,700 · 2,843,640 · 3,317,580 · 3,791,520 · 4,265,460 · 4,739,400

Sums & aliquot sequence

As a sum of two squares: 78² + 684² = 348² + 594²

As consecutive integers: 157,979 + 157,980 + 157,981 94,786 + 94,787 + 94,788 + 94,789 + 94,790 59,239 + 59,240 + … + 59,246 52,656 + 52,657 + … + 52,664

Aliquot sequence: 473,940 → 964,224 → 2,006,016 → 3,348,936 → 5,805,924 → 7,741,260 → 16,566,660 → 39,679,740 → 84,727,620 → 181,071,144 → 309,330,066 → 332,267,694 → 398,173,626 → 515,284,218 → 684,967,302 → 799,128,558 → 990,284,562 — unresolved within range

Continued fraction of √n

√473,940 = [688; (2, 3, 4, 3, 7, 1, 1, 17, 1, 1, 2, 2, 4, 1, 7, 4, 4, 2, 1, 3, 8, 8, 38, 8, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-three thousand nine hundred forty
Ordinal: 473940th
Binary: 1110011101101010100
Octal: 1635524
Hexadecimal: 0x73B54
Base64: BztU
One's complement: 4,294,493,355 (32-bit)
Scientific notation: 4.7394 × 10⁵
As a duration: 473,940 s = 5 days, 11 hours, 39 minutes

In other bases

ternary (3) 220002010100

quaternary (4) 1303231110

quinary (5) 110131230

senary (6) 14054100

septenary (7) 4012515

nonary (9) 802110

undecimal (11) 2a4095

duodecimal (12) 1aa330

tridecimal (13) 13794c

tetradecimal (14) c4a0c

pentadecimal (15) 95660

As an angle

473,940° = 1,316 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υογϡμʹ
Chinese: 四十七萬三千九百四十
Chinese (financial): 肆拾柒萬參仟玖佰肆拾

In other modern scripts

Eastern Arabic ٤٧٣٩٤٠ Devanagari ४७३९४० Bengali ৪৭৩৯৪০ Tamil ௪௭௩௯௪௦ Thai ๔๗๓๙๔๐ Tibetan ༤༧༣༩༤༠ Khmer ៤៧៣៩៤០ Lao ໔໗໓໙໔໐ Burmese ၄၇၃၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473940, here are decompositions:

11 + 473929 = 473940
13 + 473927 = 473940
17 + 473923 = 473940
29 + 473911 = 473940
41 + 473899 = 473940
53 + 473887 = 473940
73 + 473867 = 473940
79 + 473861 = 473940

Showing the first eight; more decompositions exist.

Hex color

#073B54

RGB(7, 59, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.59.84.

Address: 0.7.59.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.59.84

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 473,940 and was likely granted around 1892.

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

Look up US473,940 on Google Patents ↗ Look up on USPTO ↗