Live analysis

988,960

988,960 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.).

988,960 (nine hundred eighty-eight thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 7 × 883. Its proper divisors sum to 1,684,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1720.

Abundant Number Arithmetic Number Flippable Happy Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

988,948 988,949 988,950 988,951 988,952 988,953 988,954 988,955 988,956 988,957 988,958 988,959 988,960 988,961 988,962 988,963 988,964 988,965 988,966 988,967 988,968 988,969 988,970 988,971 988,972

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Properties

Parity: Even
Digit count: 6
Digit sum: 40
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 69,889
Flips to (rotate 180°): 96,886
Square (n²): 978,041,881,600
Cube (n³): 967,244,299,227,136,000
Divisor count: 48
σ(n) — sum of divisors: 2,673,216
φ(n) — Euler's totient: 338,688
Sum of prime factors: 905

Primality

Prime factorization: 2 ⁵ × 5 × 7 × 883

Nearest primes: 988,951 (−9) · 988,963 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 32 · 35 · 40 · 56 · 70 · 80 · 112 · 140 · 160 · 224 · 280 · 560 · 883 · 1120 · 1766 · 3532 · 4415 · 6181 · 7064 · 8830 · 12362 · 14128 · 17660 · 24724 · 28256 · 30905 · 35320 · 49448 · 61810 · 70640 · 98896 · 123620 · 141280 · 197792 · 247240 · 494480 (half) · 988960

Aliquot sum (sum of proper divisors): 1,684,256

Factor pairs (a × b = 988,960)

1 × 988960

2 × 494480

4 × 247240

5 × 197792

7 × 141280

8 × 123620

10 × 98896

14 × 70640

16 × 61810

20 × 49448

28 × 35320

32 × 30905

35 × 28256

40 × 24724

56 × 17660

70 × 14128

80 × 12362

112 × 8830

140 × 7064

160 × 6181

224 × 4415

280 × 3532

560 × 1766

883 × 1120

First multiples

988,960 · 1,977,920 (double) · 2,966,880 · 3,955,840 · 4,944,800 · 5,933,760 · 6,922,720 · 7,911,680 · 8,900,640 · 9,889,600

Sums & aliquot sequence

As consecutive integers: 197,790 + 197,791 + 197,792 + 197,793 + 197,794 141,277 + 141,278 + … + 141,283 28,239 + 28,240 + … + 28,273 15,421 + 15,422 + … + 15,484

Aliquot sequence: 988,960 → 1,684,256 → 2,194,528 → 2,843,456 → 4,203,520 → 5,892,284 → 4,441,900 → 5,430,732 → 7,908,468 → 11,630,604 → 15,586,404 → 21,222,396 → 37,147,188 → 56,697,612 → 75,596,844 → 100,795,820 → 111,395,908 — unresolved within range

Continued fraction of √n

√988,960 = [994; (2, 6, 1, 1, 2, 1, 2, 3, 5, 1, 1, 1, 3, 1, 1, 7, 1, 2, 1, 1, 1, 23, 1, 11, …)]

Representations

In words: nine hundred eighty-eight thousand nine hundred sixty
Ordinal: 988960th
Binary: 11110001011100100000
Octal: 3613440
Hexadecimal: 0xF1720
Base64: Dxcg
One's complement: 4,293,978,335 (32-bit)
Scientific notation: 9.8896 × 10⁵
As a duration: 988,960 s = 11 days, 10 hours, 42 minutes, 40 seconds

In other bases

ternary (3) 1212020121011

quaternary (4) 3301130200

quinary (5) 223121320

senary (6) 33110304

septenary (7) 11256160

nonary (9) 1766534

undecimal (11) 616025

duodecimal (12) 3b8394

tridecimal (13) 2881ab

tetradecimal (14) 1ba5a0

pentadecimal (15) 14805a

As an angle

988,960° = 2,747 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϡπηϡξʹ
Chinese: 九十八萬八千九百六十
Chinese (financial): 玖拾捌萬捌仟玖佰陸拾

In other modern scripts

Eastern Arabic ٩٨٨٩٦٠ Devanagari ९८८९६० Bengali ৯৮৮৯৬০ Tamil ௯௮௮௯௬௦ Thai ๙๘๘๙๖๐ Tibetan ༩༨༨༩༦༠ Khmer ៩៨៨៩៦០ Lao ໙໘໘໙໖໐ Burmese ၉၈၈၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988960, here are decompositions:

23 + 988937 = 988960
59 + 988901 = 988960
83 + 988877 = 988960
101 + 988859 = 988960
131 + 988829 = 988960
197 + 988763 = 988960
227 + 988733 = 988960
233 + 988727 = 988960

Showing the first eight; more decompositions exist.

Hex color

#0F1720

RGB(15, 23, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.23.32.

Address: 0.15.23.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.23.32

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 988,960 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 US988,960 on Google Patents ↗ Look up on USPTO ↗