Live analysis

988,120

988,120 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.).

988,120 (nine hundred eighty-eight thousand one hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 3,529. Its proper divisors sum to 1,553,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13D8.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

988,108 988,109 988,110 988,111 988,112 988,113 988,114 988,115 988,116 988,117 988,118 988,119 988,120 988,121 988,122 988,123 988,124 988,125 988,126 988,127 988,128 988,129 988,130 988,131 988,132

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 28
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 21,889
Square (n²): 976,381,134,400
Cube (n³): 964,781,726,523,328,000
Divisor count: 32
σ(n) — sum of divisors: 2,541,600
φ(n) — Euler's totient: 338,688
Sum of prime factors: 3,547

Primality

Prime factorization: 2 ³ × 5 × 7 × 3529

Nearest primes: 988,111 (−9) · 988,129 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 56 · 70 · 140 · 280 · 3529 · 7058 · 14116 · 17645 · 24703 · 28232 · 35290 · 49406 · 70580 · 98812 · 123515 · 141160 · 197624 · 247030 · 494060 (half) · 988120

Aliquot sum (sum of proper divisors): 1,553,480

Factor pairs (a × b = 988,120)

1 × 988120

2 × 494060

4 × 247030

5 × 197624

7 × 141160

8 × 123515

10 × 98812

14 × 70580

20 × 49406

28 × 35290

35 × 28232

40 × 24703

56 × 17645

70 × 14116

140 × 7058

280 × 3529

First multiples

988,120 · 1,976,240 (double) · 2,964,360 · 3,952,480 · 4,940,600 · 5,928,720 · 6,916,840 · 7,904,960 · 8,893,080 · 9,881,200

Sums & aliquot sequence

As consecutive integers: 197,622 + 197,623 + 197,624 + 197,625 + 197,626 141,157 + 141,158 + … + 141,163 61,750 + 61,751 + … + 61,765 28,215 + 28,216 + … + 28,249

Aliquot sequence: 988,120 → 1,553,480 → 1,997,560 → 2,497,040 → 4,796,764 → 4,864,804 → 4,864,860 → 15,682,212 → 33,117,084 → 79,402,596 → 168,968,604 → 281,614,564 → 343,793,996 → 429,017,932 → 473,500,916 → 492,028,012 → 526,455,188 — unresolved within range

Continued fraction of √n

√988,120 = [994; (23, 1, 2, 220, 1, 1, 3, 1, 1, 1, 5, 1, 3, 24, 3, 1, 1, 15, 1, 6, 7, 2, 1, 1, …)]

Representations

In words: nine hundred eighty-eight thousand one hundred twenty
Ordinal: 988120th
Binary: 11110001001111011000
Octal: 3611730
Hexadecimal: 0xF13D8
Base64: DxPY
One's complement: 4,293,979,175 (32-bit)
Scientific notation: 9.8812 × 10⁵
As a duration: 988,120 s = 11 days, 10 hours, 28 minutes, 40 seconds

In other bases

ternary (3) 1212012110001

quaternary (4) 3301033120

quinary (5) 223104440

senary (6) 33102344

septenary (7) 11253550

nonary (9) 1765401

undecimal (11) 615431

duodecimal (12) 3b79b4

tridecimal (13) 2879b3

tetradecimal (14) 1ba160

pentadecimal (15) 147b9a

As an angle

988,120° = 2,744 × 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 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵ϡπηρκʹ
Chinese: 九十八萬八千一百二十
Chinese (financial): 玖拾捌萬捌仟壹佰貳拾

In other modern scripts

Eastern Arabic ٩٨٨١٢٠ Devanagari ९८८१२० Bengali ৯৮৮১২০ Tamil ௯௮௮௧௨௦ Thai ๙๘๘๑๒๐ Tibetan ༩༨༨༡༢༠ Khmer ៩៨៨១២០ Lao ໙໘໘໑໒໐ Burmese ၉၈၈၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988120, here are decompositions:

11 + 988109 = 988120
53 + 988067 = 988120
59 + 988061 = 988120
113 + 988007 = 988120
137 + 987983 = 988120
149 + 987971 = 988120
179 + 987941 = 988120
191 + 987929 = 988120

Showing the first eight; more decompositions exist.

Hex color

#0F13D8

RGB(15, 19, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.216.

Address: 0.15.19.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.216

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 988,120 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 US988,120 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988120 first appears in π at position 895,253 of the decimal expansion (the 895,253ordinal-suffix:rd 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 988120 on Pi Search ↗