Live analysis

988,404

988,404 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.).

988,404 (nine hundred eighty-eight thousand four hundred four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 31 × 2,657. Its proper divisors sum to 1,393,164, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF14F4.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

988,392 988,393 988,394 988,395 988,396 988,397 988,398 988,399 988,400 988,401 988,402 988,403 988,404 988,405 988,406 988,407 988,408 988,409 988,410 988,411 988,412 988,413 988,414 988,415 988,416

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 404,889
Square (n²): 976,942,467,216
Cube (n³): 965,613,842,366,163,264
Divisor count: 24
σ(n) — sum of divisors: 2,381,568
φ(n) — Euler's totient: 318,720
Sum of prime factors: 2,695

Primality

Prime factorization: 2 ² × 3 × 31 × 2657

Nearest primes: 988,367 (−37) · 988,409 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 31 · 62 · 93 · 124 · 186 · 372 · 2657 · 5314 · 7971 · 10628 · 15942 · 31884 · 82367 · 164734 · 247101 · 329468 · 494202 (half) · 988404

Aliquot sum (sum of proper divisors): 1,393,164

Factor pairs (a × b = 988,404)

1 × 988404

2 × 494202

3 × 329468

4 × 247101

6 × 164734

12 × 82367

31 × 31884

62 × 15942

93 × 10628

124 × 7971

186 × 5314

372 × 2657

First multiples

988,404 · 1,976,808 (double) · 2,965,212 · 3,953,616 · 4,942,020 · 5,930,424 · 6,918,828 · 7,907,232 · 8,895,636 · 9,884,040

Sums & aliquot sequence

As consecutive integers: 329,467 + 329,468 + 329,469 123,547 + 123,548 + … + 123,554 41,172 + 41,173 + … + 41,195 31,869 + 31,870 + … + 31,899

Aliquot sequence: 988,404 → 1,393,164 → 2,128,536 → 4,273,704 → 7,301,106 → 8,567,838 → 9,995,850 → 17,255,010 → 24,729,630 → 36,538,338 → 40,837,182 → 42,176,850 → 62,869,998 → 62,949,138 → 80,934,702 → 80,934,714 → 128,153,286 — unresolved within range

Continued fraction of √n

√988,404 = [994; (5, 2, 2, 14, 1, 1, 5, 2, 1, 6, 1, 1, 2, 17, 2, 1, 3, 1, 2, 3, 3, 6, 4, 4, …)]

Representations

In words: nine hundred eighty-eight thousand four hundred four
Ordinal: 988404th
Binary: 11110001010011110100
Octal: 3612364
Hexadecimal: 0xF14F4
Base64: DxT0
One's complement: 4,293,978,891 (32-bit)
Scientific notation: 9.88404 × 10⁵
As a duration: 988,404 s = 11 days, 10 hours, 33 minutes, 24 seconds

In other bases

ternary (3) 1212012211120

quaternary (4) 3301103310

quinary (5) 223112104

senary (6) 33103540

septenary (7) 11254434

nonary (9) 1765746

undecimal (11) 61566a

duodecimal (12) 3b7bb0

tridecimal (13) 287b71

tetradecimal (14) 1ba2c4

pentadecimal (15) 147cd9

As an angle

988,404° = 2,745 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηυδʹ
Chinese: 九十八萬八千四百零四
Chinese (financial): 玖拾捌萬捌仟肆佰零肆

In other modern scripts

Eastern Arabic ٩٨٨٤٠٤ Devanagari ९८८४०४ Bengali ৯৮৮৪০৪ Tamil ௯௮௮௪௦௪ Thai ๙๘๘๔๐๔ Tibetan ༩༨༨༤༠༤ Khmer ៩៨៨៤០៤ Lao ໙໘໘໔໐໔ Burmese ၉၈၈၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988404, here are decompositions:

37 + 988367 = 988404
47 + 988357 = 988404
61 + 988343 = 988404
83 + 988321 = 988404
107 + 988297 = 988404
167 + 988237 = 988404
173 + 988231 = 988404
191 + 988213 = 988404

Showing the first eight; more decompositions exist.

Hex color

#0F14F4

RGB(15, 20, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.244.

Address: 0.15.20.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.20.244

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 988,404 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 US988,404 on Google Patents ↗ Look up on USPTO ↗