Live analysis

988,480

988,480 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.).

988,480 (nine hundred eighty-eight thousand four hundred eighty) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 3,089. Its proper divisors sum to 1,366,100, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1540.

Abundant Number Evil Number Semiperfect Number Smith Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

988,468 988,469 988,470 988,471 988,472 988,473 988,474 988,475 988,476 988,477 988,478 988,479 988,480 988,481 988,482 988,483 988,484 988,485 988,486 988,487 988,488 988,489 988,490 988,491 988,492

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 37
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 84,889
Square (n²): 977,092,710,400
Cube (n³): 965,836,602,376,192,000
Divisor count: 28
σ(n) — sum of divisors: 2,354,580
φ(n) — Euler's totient: 395,264
Sum of prime factors: 3,106

Primality

Prime factorization: 2 ⁶ × 5 × 3089

Nearest primes: 988,459 (−21) · 988,483 (+3)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 320 · 3089 · 6178 · 12356 · 15445 · 24712 · 30890 · 49424 · 61780 · 98848 · 123560 · 197696 · 247120 · 494240 (half) · 988480

Aliquot sum (sum of proper divisors): 1,366,100

Factor pairs (a × b = 988,480)

1 × 988480

2 × 494240

4 × 247120

5 × 197696

8 × 123560

10 × 98848

16 × 61780

20 × 49424

32 × 30890

40 × 24712

64 × 15445

80 × 12356

160 × 6178

320 × 3089

First multiples

988,480 · 1,976,960 (double) · 2,965,440 · 3,953,920 · 4,942,400 · 5,930,880 · 6,919,360 · 7,907,840 · 8,896,320 · 9,884,800

Sums & aliquot sequence

As a sum of two squares: 312² + 944² = 568² + 816²

As consecutive integers: 197,694 + 197,695 + 197,696 + 197,697 + 197,698 7,659 + 7,660 + … + 7,786 1,225 + 1,226 + … + 1,864

Aliquot sequence: 988,480 → 1,366,100 → 1,758,700 → 2,155,980 → 3,880,932 → 5,998,140 → 12,609,540 → 28,718,460 → 59,296,740 → 106,734,300 → 206,495,652 → 319,129,980 → 655,538,820 → 1,179,970,044 → 1,823,590,404 → 2,786,040,986 → 1,393,020,496 — unresolved within range

Continued fraction of √n

√988,480 = [994; (4, 2, 10, 1, 5, 1, 4, 1, 4, 3, 1, 9, 7, 1, 1, 1, 63, 2, 27, 1, 1, 24, 25, 7, …)]

Representations

In words: nine hundred eighty-eight thousand four hundred eighty
Ordinal: 988480th
Binary: 11110001010101000000
Octal: 3612500
Hexadecimal: 0xF1540
Base64: DxVA
One's complement: 4,293,978,815 (32-bit)
Scientific notation: 9.8848 × 10⁵
As a duration: 988,480 s = 11 days, 10 hours, 34 minutes, 40 seconds

In other bases

ternary (3) 1212012221101

quaternary (4) 3301111000

quinary (5) 223112410

senary (6) 33104144

septenary (7) 11254603

nonary (9) 1765841

undecimal (11) 615729

duodecimal (12) 3b8054

tridecimal (13) 287bcc

tetradecimal (14) 1ba33a

pentadecimal (15) 147d3a

As an angle

988,480° = 2,745 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϡπηυπʹ
Chinese: 九十八萬八千四百八十
Chinese (financial): 玖拾捌萬捌仟肆佰捌拾

In other modern scripts

Eastern Arabic ٩٨٨٤٨٠ Devanagari ९८८४८० Bengali ৯৮৮৪৮০ Tamil ௯௮௮௪௮௦ Thai ๙๘๘๔๘๐ Tibetan ༩༨༨༤༨༠ Khmer ៩៨៨៤៨០ Lao ໙໘໘໔໘໐ Burmese ၉၈၈၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988480, here are decompositions:

41 + 988439 = 988480
71 + 988409 = 988480
113 + 988367 = 988480
137 + 988343 = 988480
167 + 988313 = 988480
263 + 988217 = 988480
281 + 988199 = 988480
419 + 988061 = 988480

Showing the first eight; more decompositions exist.

Hex color

#0F1540

RGB(15, 21, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.21.64.

Address: 0.15.21.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.21.64

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 988,480 and was likely granted around 1911.

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

Look up US988,480 on Google Patents ↗ Look up on USPTO ↗