Live analysis

988,100

988,100 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.).

988,100 (nine hundred eighty-eight thousand one hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 41 × 241. Its proper divisors sum to 1,217,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13C4.

Abundant Number Cube-Free Evil Number Flippable Practical Number Self Number Semiperfect Number Smith Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

988,088 988,089 988,090 988,091 988,092 988,093 988,094 988,095 988,096 988,097 988,098 988,099 988,100 988,101 988,102 988,103 988,104 988,105 988,106 988,107 988,108 988,109 988,110 988,111 988,112

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 26
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 1,889
Flips to (rotate 180°): 1,886
Square (n²): 976,341,610,000
Cube (n³): 964,723,144,841,000,000
Divisor count: 36
σ(n) — sum of divisors: 2,205,588
φ(n) — Euler's totient: 384,000
Sum of prime factors: 296

Primality

Prime factorization: 2 ² × 5 ² × 41 × 241

Nearest primes: 988,093 (−7) · 988,109 (+9)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 41 · 50 · 82 · 100 · 164 · 205 · 241 · 410 · 482 · 820 · 964 · 1025 · 1205 · 2050 · 2410 · 4100 · 4820 · 6025 · 9881 · 12050 · 19762 · 24100 · 39524 · 49405 · 98810 · 197620 · 247025 · 494050 (half) · 988100

Aliquot sum (sum of proper divisors): 1,217,488

Factor pairs (a × b = 988,100)

1 × 988100

2 × 494050

4 × 247025

5 × 197620

10 × 98810

20 × 49405

25 × 39524

41 × 24100

50 × 19762

82 × 12050

100 × 9881

164 × 6025

205 × 4820

241 × 4100

410 × 2410

482 × 2050

820 × 1205

964 × 1025

First multiples

988,100 · 1,976,200 (double) · 2,964,300 · 3,952,400 · 4,940,500 · 5,928,600 · 6,916,700 · 7,904,800 · 8,892,900 · 9,881,000

Sums & aliquot sequence

As a sum of two squares: 8² + 994² = 226² + 968² = 286² + 952² = 400² + 910²

As consecutive integers: 197,618 + 197,619 + 197,620 + 197,621 + 197,622 123,509 + 123,510 + … + 123,516 39,512 + 39,513 + … + 39,536 24,683 + 24,684 + … + 24,722

Aliquot sequence: 988,100 → 1,217,488 → 1,193,072 → 1,118,536 → 1,070,264 → 1,152,376 → 1,020,224 → 1,113,376 → 1,278,608 → 1,219,372 → 1,538,516 → 1,673,644 → 1,733,816 → 2,048,704 → 2,889,056 → 2,848,984 → 2,492,876 — unresolved within range

Continued fraction of √n

√988,100 = [994; (31, 15, 1, 6, 1, 4, 1, 4, 1, 1, 1, 2, 1, 1, 6, 1, 3, 9, 3, 1, 15, 1, 18, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand one hundred
Ordinal: 988100th
Binary: 11110001001111000100
Octal: 3611704
Hexadecimal: 0xF13C4
Base64: DxPE
One's complement: 4,293,979,195 (32-bit)
Scientific notation: 9.881 × 10⁵
As a duration: 988,100 s = 11 days, 10 hours, 28 minutes, 20 seconds

In other bases

ternary (3) 1212012102022

quaternary (4) 3301033010

quinary (5) 223104400

senary (6) 33102312

septenary (7) 11253521

nonary (9) 1765368

undecimal (11) 615413

duodecimal (12) 3b7998

tridecimal (13) 287999

tetradecimal (14) 1ba148

pentadecimal (15) 147b85

As an angle

988,100° = 2,744 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢
Greek (Milesian): ͵ϡπηρʹ
Chinese: 九十八萬八千一百
Chinese (financial): 玖拾捌萬捌仟壹佰

In other modern scripts

Eastern Arabic ٩٨٨١٠٠ Devanagari ९८८१०० Bengali ৯৮৮১০০ Tamil ௯௮௮௧௦௦ Thai ๙๘๘๑๐๐ Tibetan ༩༨༨༡༠༠ Khmer ៩៨៨១០០ Lao ໙໘໘໑໐໐ Burmese ၉၈၈၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988100, here are decompositions:

7 + 988093 = 988100
31 + 988069 = 988100
67 + 988033 = 988100
79 + 988021 = 988100
103 + 987997 = 988100
109 + 987991 = 988100
307 + 987793 = 988100
541 + 987559 = 988100

Showing the first eight; more decompositions exist.

Hex color

#0F13C4

RGB(15, 19, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.196.

Address: 0.15.19.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.196

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 988,100 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 US988,100 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988100 first appears in π at position 812,557 of the decimal expansion (the 812,557ordinal-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 988100 on Pi Search ↗