Live analysis

472,964

472,964 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.).

472,964 (four hundred seventy-two thousand nine hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 317 × 373. Written other ways, in hexadecimal, 0x73784.

Arithmetic Number Cube-Free Deficient Number Evil Number Self Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

472,952 472,953 472,954 472,955 472,956 472,957 472,958 472,959 472,960 472,961 472,962 472,963 472,964 472,965 472,966 472,967 472,968 472,969 472,970 472,971 472,972 472,973 472,974 472,975 472,976

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 32
Digit product: 12,096
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 469,274
Square (n²): 223,694,945,296
Cube (n³): 105,799,656,106,977,344
Divisor count: 12
σ(n) — sum of divisors: 832,524
φ(n) — Euler's totient: 235,104
Sum of prime factors: 694

Primality

Prime factorization: 2 ² × 317 × 373

Nearest primes: 472,963 (−1) · 472,993 (+29)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 317 · 373 · 634 · 746 · 1268 · 1492 · 118241 · 236482 (half) · 472964

Aliquot sum (sum of proper divisors): 359,560

Factor pairs (a × b = 472,964)

1 × 472964

2 × 236482

4 × 118241

317 × 1492

373 × 1268

634 × 746

First multiples

472,964 · 945,928 (double) · 1,418,892 · 1,891,856 · 2,364,820 · 2,837,784 · 3,310,748 · 3,783,712 · 4,256,676 · 4,729,640

Sums & aliquot sequence

As a sum of two squares: 200² + 658² = 350² + 592²

As consecutive integers: 59,117 + 59,118 + … + 59,124 1,334 + 1,335 + … + 1,650 1,082 + 1,083 + … + 1,454

Aliquot sequence: 472,964 → 359,560 → 466,640 → 679,120 → 1,023,896 → 912,544 → 884,090 → 718,630 → 732,890 → 603,718 → 313,562 → 156,784 → 155,696 → 155,296 → 165,248 → 164,212 → 128,304 — unresolved within range

Continued fraction of √n

√472,964 = [687; (1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 5, 3, 1, 1, 1, 2, 2, 3, 5, 54, 1, 4, …)]

Representations

In words: four hundred seventy-two thousand nine hundred sixty-four
Ordinal: 472964th
Binary: 1110011011110000100
Octal: 1633604
Hexadecimal: 0x73784
Base64: BzeE
One's complement: 4,294,494,331 (32-bit)
Scientific notation: 4.72964 × 10⁵
As a duration: 472,964 s = 5 days, 11 hours, 22 minutes, 44 seconds

In other bases

ternary (3) 220000210012

quaternary (4) 1303132010

quinary (5) 110113324

senary (6) 14045352

septenary (7) 4006622

nonary (9) 800705

undecimal (11) 2a3388

duodecimal (12) 1a9858

tridecimal (13) 13737b

tetradecimal (14) c4512

pentadecimal (15) 9520e

As an angle

472,964° = 1,313 × 360° + 284°

284° ≈ 4.957 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβϡξδʹ
Chinese: 四十七萬二千九百六十四
Chinese (financial): 肆拾柒萬貳仟玖佰陸拾肆

In other modern scripts

Eastern Arabic ٤٧٢٩٦٤ Devanagari ४७२९६४ Bengali ৪৭২৯৬৪ Tamil ௪௭௨௯௬௪ Thai ๔๗๒๙๖๔ Tibetan ༤༧༢༩༦༤ Khmer ៤៧២៩៦៤ Lao ໔໗໒໙໖໔ Burmese ၄၇၂၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472964, here are decompositions:

43 + 472921 = 472964
127 + 472837 = 472964
223 + 472741 = 472964
277 + 472687 = 472964
367 + 472597 = 472964
421 + 472543 = 472964
487 + 472477 = 472964
571 + 472393 = 472964

Showing the first eight; more decompositions exist.

Hex color

#073784

RGB(7, 55, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.132.

Address: 0.7.55.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.55.132

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 472,964 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 US472,964 on Google Patents ↗ Look up on USPTO ↗