Live analysis

988,820

988,820 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.).

988,820 (nine hundred eighty-eight thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5 × 7² × 1,009. Its proper divisors sum to 1,429,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1694.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

988,808 988,809 988,810 988,811 988,812 988,813 988,814 988,815 988,816 988,817 988,818 988,819 988,820 988,821 988,822 988,823 988,824 988,825 988,826 988,827 988,828 988,829 988,830 988,831 988,832

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 35
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 28,889
Square (n²): 977,764,992,400
Cube (n³): 966,833,579,784,968,000
Divisor count: 36
σ(n) — sum of divisors: 2,417,940
φ(n) — Euler's totient: 338,688
Sum of prime factors: 1,032

Primality

Prime factorization: 2 ² × 5 × 7 ² × 1009

Nearest primes: 988,789 (−31) · 988,829 (+9)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 49 · 70 · 98 · 140 · 196 · 245 · 490 · 980 · 1009 · 2018 · 4036 · 5045 · 7063 · 10090 · 14126 · 20180 · 28252 · 35315 · 49441 · 70630 · 98882 · 141260 · 197764 · 247205 · 494410 (half) · 988820

Aliquot sum (sum of proper divisors): 1,429,120

Factor pairs (a × b = 988,820)

1 × 988820

2 × 494410

4 × 247205

5 × 197764

7 × 141260

10 × 98882

14 × 70630

20 × 49441

28 × 35315

35 × 28252

49 × 20180

70 × 14126

98 × 10090

140 × 7063

196 × 5045

245 × 4036

490 × 2018

980 × 1009

First multiples

988,820 · 1,977,640 (double) · 2,966,460 · 3,955,280 · 4,944,100 · 5,932,920 · 6,921,740 · 7,910,560 · 8,899,380 · 9,888,200

Sums & aliquot sequence

As a sum of two squares: 28² + 994² = 574² + 812²

As consecutive integers: 197,762 + 197,763 + 197,764 + 197,765 + 197,766 141,257 + 141,258 + … + 141,263 123,599 + 123,600 + … + 123,606 28,235 + 28,236 + … + 28,269

Aliquot sequence: 988,820 → 1,429,120 → 2,977,280 → 4,167,352 → 4,923,008 → 4,884,802 → 3,006,074 → 1,503,040 → 3,032,384 → 2,985,130 → 2,388,122 → 1,575,910 → 1,741,850 → 1,793,638 → 1,743,002 → 889,498 → 475,910 — unresolved within range

Continued fraction of √n

√988,820 = [994; (2, 1, 1, 6, 2, 2, 13, 1, 9, 4, 1, 1, 1, 1, 1, 8, 2, 1, 1, 1, 6, 40, 2, 3, …)]

Representations

In words: nine hundred eighty-eight thousand eight hundred twenty
Ordinal: 988820th
Binary: 11110001011010010100
Octal: 3613224
Hexadecimal: 0xF1694
Base64: DxaU
One's complement: 4,293,978,475 (32-bit)
Scientific notation: 9.8882 × 10⁵
As a duration: 988,820 s = 11 days, 10 hours, 40 minutes, 20 seconds

In other bases

ternary (3) 1212020101222

quaternary (4) 3301122110

quinary (5) 223120240

senary (6) 33105512

septenary (7) 11255600

nonary (9) 1766358

undecimal (11) 615a08

duodecimal (12) 3b8298

tridecimal (13) 288101

tetradecimal (14) 1ba500

pentadecimal (15) 147eb5

As an angle

988,820° = 2,746 × 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 𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ϡπηωκʹ
Chinese: 九十八萬八千八百二十
Chinese (financial): 玖拾捌萬捌仟捌佰貳拾

In other modern scripts

Eastern Arabic ٩٨٨٨٢٠ Devanagari ९८८८२० Bengali ৯৮৮৮২০ Tamil ௯௮௮௮௨௦ Thai ๙๘๘๘๒๐ Tibetan ༩༨༨༨༢༠ Khmer ៩៨៨៨២០ Lao ໙໘໘໘໒໐ Burmese ၉၈၈၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988820, here are decompositions:

31 + 988789 = 988820
37 + 988783 = 988820
61 + 988759 = 988820
109 + 988711 = 988820
127 + 988693 = 988820
139 + 988681 = 988820
229 + 988591 = 988820
241 + 988579 = 988820

Showing the first eight; more decompositions exist.

Hex color

#0F1694

RGB(15, 22, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.22.148.

Address: 0.15.22.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.22.148

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 988,820 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 US988,820 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988820 first appears in π at position 918,064 of the decimal expansion (the 918,064ordinal-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 988820 on Pi Search ↗