Live analysis

488,472

488,472 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.).

488,472 (four hundred eighty-eight thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 20,353. Its proper divisors sum to 732,768, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77418.

Abundant Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

488,460 488,461 488,462 488,463 488,464 488,465 488,466 488,467 488,468 488,469 488,470 488,471 488,472 488,473 488,474 488,475 488,476 488,477 488,478 488,479 488,480 488,481 488,482 488,483 488,484

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 14,336
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 274,884
Recamán's sequence: a(146,860) = 488,472
Square (n²): 238,604,894,784
Cube (n³): 116,551,810,164,930,048
Divisor count: 16
σ(n) — sum of divisors: 1,221,240
φ(n) — Euler's totient: 162,816
Sum of prime factors: 20,362

Primality

Prime factorization: 2 ³ × 3 × 20353

Nearest primes: 488,459 (−13) · 488,473 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 20353 · 40706 · 61059 · 81412 · 122118 · 162824 · 244236 (half) · 488472

Aliquot sum (sum of proper divisors): 732,768

Factor pairs (a × b = 488,472)

1 × 488472

2 × 244236

3 × 162824

4 × 122118

6 × 81412

8 × 61059

12 × 40706

24 × 20353

First multiples

488,472 · 976,944 (double) · 1,465,416 · 1,953,888 · 2,442,360 · 2,930,832 · 3,419,304 · 3,907,776 · 4,396,248 · 4,884,720

Sums & aliquot sequence

As consecutive integers: 162,823 + 162,824 + 162,825 30,522 + 30,523 + … + 30,537 10,153 + 10,154 + … + 10,200

Aliquot sequence: 488,472 → 732,768 → 1,308,432 → 2,071,808 → 2,064,226 → 1,043,978 → 642,490 → 539,462 → 511,162 → 261,830 → 209,482 → 177,590 → 202,570 → 170,678 → 89,722 → 46,394 → 23,200 — unresolved within range

Continued fraction of √n

√488,472 = [698; (1, 9, 1, 5, 8, 1, 1, 1, 1, 1, 4, 1, 2, 4, 8, 1, 28, 1, 5, 1, 1, 1, 2, 7, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: four hundred eighty-eight thousand four hundred seventy-two
Ordinal: 488472nd
Binary: 1110111010000011000
Octal: 1672030
Hexadecimal: 0x77418
Base64: B3QY
One's complement: 4,294,478,823 (32-bit)
Scientific notation: 4.88472 × 10⁵
As a duration: 488,472 s = 5 days, 15 hours, 41 minutes, 12 seconds

In other bases

ternary (3) 220211001120

quaternary (4) 1313100120

quinary (5) 111112342

senary (6) 14245240

septenary (7) 4103055

nonary (9) 824046

undecimal (11) 303aa6

duodecimal (12) 1b6820

tridecimal (13) 14144a

tetradecimal (14) ca02c

pentadecimal (15) 99aec

As an angle

488,472° = 1,356 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υπηυοβʹ
Chinese: 四十八萬八千四百七十二
Chinese (financial): 肆拾捌萬捌仟肆佰柒拾貳

In other modern scripts

Eastern Arabic ٤٨٨٤٧٢ Devanagari ४८८४७२ Bengali ৪৮৮৪৭২ Tamil ௪௮௮௪௭௨ Thai ๔๘๘๔๗๒ Tibetan ༤༨༨༤༧༢ Khmer ៤៨៨៤៧២ Lao ໔໘໘໔໗໒ Burmese ၄၈၈၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488472, here are decompositions:

13 + 488459 = 488472
31 + 488441 = 488472
53 + 488419 = 488472
71 + 488401 = 488472
73 + 488399 = 488472
139 + 488333 = 488472
151 + 488321 = 488472
163 + 488309 = 488472

Showing the first eight; more decompositions exist.

Hex color

#077418

RGB(7, 116, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.116.24.

Address: 0.7.116.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.116.24

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 488,472 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 US488,472 on Google Patents ↗ Look up on USPTO ↗