Live analysis

471,996

471,996 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.).

471,996 (four hundred seventy-one thousand nine hundred ninety-six) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 7 × 1,873. Its proper divisors sum to 892,276, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733BC.

Abundant Number Cube-Free Evil Number Harshad / Niven Refactorable Number Self Number Semiperfect Number Smith Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

471,984 471,985 471,986 471,987 471,988 471,989 471,990 471,991 471,992 471,993 471,994 471,995 471,996 471,997 471,998 471,999 472,000 472,001 472,002 472,003 472,004 472,005 472,006 472,007 472,008

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Properties

Parity: Even
Digit count: 6
Digit sum: 36
Digit product: 13,608
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 699,174
Square (n²): 222,780,224,016
Cube (n³): 105,151,374,614,655,936
Divisor count: 36
σ(n) — sum of divisors: 1,364,272
φ(n) — Euler's totient: 134,784
Sum of prime factors: 1,890

Primality

Prime factorization: 2 ² × 3 ² × 7 × 1873

Nearest primes: 471,959 (−37) · 471,997 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 63 · 84 · 126 · 252 · 1873 · 3746 · 5619 · 7492 · 11238 · 13111 · 16857 · 22476 · 26222 · 33714 · 39333 · 52444 · 67428 · 78666 · 117999 · 157332 · 235998 (half) · 471996

Aliquot sum (sum of proper divisors): 892,276

Factor pairs (a × b = 471,996)

1 × 471996

2 × 235998

3 × 157332

4 × 117999

6 × 78666

7 × 67428

9 × 52444

12 × 39333

14 × 33714

18 × 26222

21 × 22476

28 × 16857

36 × 13111

42 × 11238

63 × 7492

84 × 5619

126 × 3746

252 × 1873

First multiples

471,996 · 943,992 (double) · 1,415,988 · 1,887,984 · 2,359,980 · 2,831,976 · 3,303,972 · 3,775,968 · 4,247,964 · 4,719,960

Sums & aliquot sequence

As consecutive integers: 157,331 + 157,332 + 157,333 67,425 + 67,426 + … + 67,431 58,996 + 58,997 + … + 59,003 52,440 + 52,441 + … + 52,448

Aliquot sequence: 471,996 → 892,276 → 1,055,180 → 1,477,588 → 1,510,124 → 1,785,364 → 1,849,526 → 1,321,114 → 660,560 → 946,480 → 1,254,272 → 1,316,128 → 1,511,312 → 1,798,000 → 2,844,560 → 4,173,964 → 3,559,412 — unresolved within range

Continued fraction of √n

√471,996 = [687; (50, 1, 8, 16, 1, 5, 1, 3, 5, 2, 1, 1, 7, 1, 1, 1, 2, 1, 4, 1, 2, 1, 1, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-one thousand nine hundred ninety-six
Ordinal: 471996th
Binary: 1110011001110111100
Octal: 1631674
Hexadecimal: 0x733BC
Base64: BzO8
One's complement: 4,294,495,299 (32-bit)
Scientific notation: 4.71996 × 10⁵
As a duration: 471,996 s = 5 days, 11 hours, 6 minutes, 36 seconds

In other bases

ternary (3) 212222110100

quaternary (4) 1303032330

quinary (5) 110100441

senary (6) 14041100

septenary (7) 4004040

nonary (9) 788410

undecimal (11) 2a2688

duodecimal (12) 1a9190

tridecimal (13) 136ab5

tetradecimal (14) c4020

pentadecimal (15) 94cb6

As an angle

471,996° = 1,311 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοαϡϟϛʹ
Chinese: 四十七萬一千九百九十六
Chinese (financial): 肆拾柒萬壹仟玖佰玖拾陸

In other modern scripts

Eastern Arabic ٤٧١٩٩٦ Devanagari ४७१९९६ Bengali ৪৭১৯৯৬ Tamil ௪௭௧௯௯௬ Thai ๔๗๑๙๙๖ Tibetan ༤༧༡༩༩༦ Khmer ៤៧១៩៩៦ Lao ໔໗໑໙໙໖ Burmese ၄၇၁၉၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471996, here are decompositions:

37 + 471959 = 471996
47 + 471949 = 471996
53 + 471943 = 471996
67 + 471929 = 471996
73 + 471923 = 471996
89 + 471907 = 471996
103 + 471893 = 471996
149 + 471847 = 471996

Showing the first eight; more decompositions exist.

Hex color

#0733BC

RGB(7, 51, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.188.

Address: 0.7.51.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.188

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 471,996 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 US471,996 on Google Patents ↗ Look up on USPTO ↗