Live analysis

988,338

988,338 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.).

988,338 (nine hundred eighty-eight thousand three hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 13 × 12,671. Its proper divisors sum to 1,140,558, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF14B2.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

988,326 988,327 988,328 988,329 988,330 988,331 988,332 988,333 988,334 988,335 988,336 988,337 988,338 988,339 988,340 988,341 988,342 988,343 988,344 988,345 988,346 988,347 988,348 988,349 988,350

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 39
Digit product: 41,472
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 833,889
Square (n²): 976,812,002,244
Cube (n³): 965,420,420,673,830,472
Divisor count: 16
σ(n) — sum of divisors: 2,128,896
φ(n) — Euler's totient: 304,080
Sum of prime factors: 12,689

Primality

Prime factorization: 2 × 3 × 13 × 12671

Nearest primes: 988,321 (−17) · 988,343 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 13 · 26 · 39 · 78 · 12671 · 25342 · 38013 · 76026 · 164723 · 329446 · 494169 (half) · 988338

Aliquot sum (sum of proper divisors): 1,140,558

Factor pairs (a × b = 988,338)

1 × 988338

2 × 494169

3 × 329446

6 × 164723

13 × 76026

26 × 38013

39 × 25342

78 × 12671

First multiples

988,338 · 1,976,676 (double) · 2,965,014 · 3,953,352 · 4,941,690 · 5,930,028 · 6,918,366 · 7,906,704 · 8,895,042 · 9,883,380

Sums & aliquot sequence

As consecutive integers: 329,445 + 329,446 + 329,447 247,083 + 247,084 + 247,085 + 247,086 82,356 + 82,357 + … + 82,367 76,020 + 76,021 + … + 76,032

Aliquot sequence: 988,338 → 1,140,558 → 1,140,570 → 2,229,030 → 3,566,682 → 5,265,414 → 9,560,826 → 13,296,294 → 18,131,778 → 27,110,718 → 32,594,538 → 37,009,302 → 48,663,978 → 64,278,102 → 97,911,978 → 108,218,742 → 108,218,754 — unresolved within range

Continued fraction of √n

√988,338 = [994; (6, 1, 1, 2, 1, 1, 141, 2, 3, 1, 1, 1, 2, 7, 1, 39, 1, 2, 3, 3, 116, 1, 1, 1, …)]

Representations

In words: nine hundred eighty-eight thousand three hundred thirty-eight
Ordinal: 988338th
Binary: 11110001010010110010
Octal: 3612262
Hexadecimal: 0xF14B2
Base64: DxSy
One's complement: 4,293,978,957 (32-bit)
Scientific notation: 9.88338 × 10⁵
As a duration: 988,338 s = 11 days, 10 hours, 32 minutes, 18 seconds

In other bases

ternary (3) 1212012202010

quaternary (4) 3301102302

quinary (5) 223111323

senary (6) 33103350

septenary (7) 11254311

nonary (9) 1765663

undecimal (11) 61560a

duodecimal (12) 3b7b56

tridecimal (13) 287b20

tetradecimal (14) 1ba278

pentadecimal (15) 147c93

As an angle

988,338° = 2,745 × 360° + 138°

138° ≈ 2.409 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπητληʹ
Chinese: 九十八萬八千三百三十八
Chinese (financial): 玖拾捌萬捌仟參佰參拾捌

In other modern scripts

Eastern Arabic ٩٨٨٣٣٨ Devanagari ९८८३३८ Bengali ৯৮৮৩৩৮ Tamil ௯௮௮௩௩௮ Thai ๙๘๘๓๓๘ Tibetan ༩༨༨༣༣༨ Khmer ៩៨៨៣៣៨ Lao ໙໘໘໓໓໘ Burmese ၉၈၈၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988338, here are decompositions:

17 + 988321 = 988338
19 + 988319 = 988338
41 + 988297 = 988338
59 + 988279 = 988338
67 + 988271 = 988338
101 + 988237 = 988338
107 + 988231 = 988338
139 + 988199 = 988338

Showing the first eight; more decompositions exist.

Hex color

#0F14B2

RGB(15, 20, 178)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.178.

Address: 0.15.20.178
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.20.178

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 988,338 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 US988,338 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988338 first appears in π at position 632,179 of the decimal expansion (the 632,179ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 988338 on Pi Search ↗