Live analysis

988,064

988,064 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.).

988,064 (nine hundred eighty-eight thousand sixty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 7 × 11 × 401. Its proper divisors sum to 1,443,232, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13A0.

Abundant Number Arithmetic Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

988,052 988,053 988,054 988,055 988,056 988,057 988,058 988,059 988,060 988,061 988,062 988,063 988,064 988,065 988,066 988,067 988,068 988,069 988,070 988,071 988,072 988,073 988,074 988,075 988,076

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 35
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 460,889
Square (n²): 976,270,468,096
Cube (n³): 964,617,703,788,806,144
Divisor count: 48
σ(n) — sum of divisors: 2,431,296
φ(n) — Euler's totient: 384,000
Sum of prime factors: 429

Primality

Prime factorization: 2 ⁵ × 7 × 11 × 401

Nearest primes: 988,061 (−3) · 988,067 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 7 · 8 · 11 · 14 · 16 · 22 · 28 · 32 · 44 · 56 · 77 · 88 · 112 · 154 · 176 · 224 · 308 · 352 · 401 · 616 · 802 · 1232 · 1604 · 2464 · 2807 · 3208 · 4411 · 5614 · 6416 · 8822 · 11228 · 12832 · 17644 · 22456 · 30877 · 35288 · 44912 · 61754 · 70576 · 89824 · 123508 · 141152 · 247016 · 494032 (half) · 988064

Aliquot sum (sum of proper divisors): 1,443,232

Factor pairs (a × b = 988,064)

1 × 988064

2 × 494032

4 × 247016

7 × 141152

8 × 123508

11 × 89824

14 × 70576

16 × 61754

22 × 44912

28 × 35288

32 × 30877

44 × 22456

56 × 17644

77 × 12832

88 × 11228

112 × 8822

154 × 6416

176 × 5614

224 × 4411

308 × 3208

352 × 2807

401 × 2464

616 × 1604

802 × 1232

First multiples

988,064 · 1,976,128 (double) · 2,964,192 · 3,952,256 · 4,940,320 · 5,928,384 · 6,916,448 · 7,904,512 · 8,892,576 · 9,880,640

Sums & aliquot sequence

As consecutive integers: 141,149 + 141,150 + … + 141,155 89,819 + 89,820 + … + 89,829 15,407 + 15,408 + … + 15,470 12,794 + 12,795 + … + 12,870

Aliquot sequence: 988,064 → 1,443,232 → 2,004,128 → 2,713,312 → 3,392,144 → 4,369,264 → 4,773,008 → 4,774,000 → 10,082,192 → 10,083,184 → 10,808,336 → 16,237,552 → 17,966,608 → 22,745,072 → 29,251,600 → 53,901,808 → 54,999,952 — unresolved within range

Continued fraction of √n

√988,064 = [994; (71, 1988)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand sixty-four
Ordinal: 988064th
Binary: 11110001001110100000
Octal: 3611640
Hexadecimal: 0xF13A0
Base64: DxOg
One's complement: 4,293,979,231 (32-bit)
Scientific notation: 9.88064 × 10⁵
As a duration: 988,064 s = 11 days, 10 hours, 27 minutes, 44 seconds

In other bases

ternary (3) 1212012100222

quaternary (4) 3301032200

quinary (5) 223104224

senary (6) 33102212

septenary (7) 11253440

nonary (9) 1765328

undecimal (11) 615390

duodecimal (12) 3b7968

tridecimal (13) 28796c

tetradecimal (14) 1ba120

pentadecimal (15) 147b5e

As an angle

988,064° = 2,744 × 360° + 224°

224° ≈ 3.91 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηξδʹ
Chinese: 九十八萬八千零六十四
Chinese (financial): 玖拾捌萬捌仟零陸拾肆

In other modern scripts

Eastern Arabic ٩٨٨٠٦٤ Devanagari ९८८०६४ Bengali ৯৮৮০৬৪ Tamil ௯௮௮௦௬௪ Thai ๙๘๘๐๖๔ Tibetan ༩༨༨༠༦༤ Khmer ៩៨៨០៦៤ Lao ໙໘໘໐໖໔ Burmese ၉၈၈၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988064, here are decompositions:

3 + 988061 = 988064
13 + 988051 = 988064
31 + 988033 = 988064
43 + 988021 = 988064
67 + 987997 = 988064
73 + 987991 = 988064
151 + 987913 = 988064
271 + 987793 = 988064

Showing the first eight; more decompositions exist.

Hex color

#0F13A0

RGB(15, 19, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.160.

Address: 0.15.19.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.160

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 988,064 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 US988,064 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988064 first appears in π at position 741,981 of the decimal expansion (the 741,981ordinal-suffix:st 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 988064 on Pi Search ↗