Live analysis

988,832

988,832 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.).

988,832 (nine hundred eighty-eight thousand eight hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 13 × 2,377. Its proper divisors sum to 1,108,564, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF16A0.

Abundant Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

988,820 988,821 988,822 988,823 988,824 988,825 988,826 988,827 988,828 988,829 988,830 988,831 988,832 988,833 988,834 988,835 988,836 988,837 988,838 988,839 988,840 988,841 988,842 988,843 988,844

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 38
Digit product: 27,648
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 238,889
Square (n²): 977,788,724,224
Cube (n³): 966,868,779,751,866,368
Divisor count: 24
σ(n) — sum of divisors: 2,097,396
φ(n) — Euler's totient: 456,192
Sum of prime factors: 2,400

Primality

Prime factorization: 2 ⁵ × 13 × 2377

Nearest primes: 988,829 (−3) · 988,837 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 104 · 208 · 416 · 2377 · 4754 · 9508 · 19016 · 30901 · 38032 · 61802 · 76064 · 123604 · 247208 · 494416 (half) · 988832

Aliquot sum (sum of proper divisors): 1,108,564

Factor pairs (a × b = 988,832)

1 × 988832

2 × 494416

4 × 247208

8 × 123604

13 × 76064

16 × 61802

26 × 38032

32 × 30901

52 × 19016

104 × 9508

208 × 4754

416 × 2377

First multiples

988,832 · 1,977,664 (double) · 2,966,496 · 3,955,328 · 4,944,160 · 5,932,992 · 6,921,824 · 7,910,656 · 8,899,488 · 9,888,320

Sums & aliquot sequence

As a sum of two squares: 244² + 964² = 596² + 796²

As consecutive integers: 76,058 + 76,059 + … + 76,070 15,419 + 15,420 + … + 15,482 773 + 774 + … + 1,604

Aliquot sequence: 988,832 → 1,108,564 → 842,924 → 632,200 → 902,300 → 1,337,140 → 1,872,332 → 2,213,428 → 2,497,964 → 2,498,020 → 3,606,680 → 6,519,400 → 9,065,540 → 11,981,500 → 15,065,156 → 11,660,536 → 10,302,704 — unresolved within range

Continued fraction of √n

√988,832 = [994; (2, 2, 123, 1, 9, 497, 9, 1, 123, 2, 2, 1988)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand eight hundred thirty-two
Ordinal: 988832nd
Binary: 11110001011010100000
Octal: 3613240
Hexadecimal: 0xF16A0
Base64: Dxag
One's complement: 4,293,978,463 (32-bit)
Scientific notation: 9.88832 × 10⁵
As a duration: 988,832 s = 11 days, 10 hours, 40 minutes, 32 seconds

In other bases

ternary (3) 1212020102102

quaternary (4) 3301122200

quinary (5) 223120312

senary (6) 33105532

septenary (7) 11255615

nonary (9) 1766372

undecimal (11) 615a19

duodecimal (12) 3b82a8

tridecimal (13) 288110

tetradecimal (14) 1ba50c

pentadecimal (15) 147ec2

As an angle

988,832° = 2,746 × 360° + 272°

272° ≈ 4.747 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡπηωλβʹ
Chinese: 九十八萬八千八百三十二
Chinese (financial): 玖拾捌萬捌仟捌佰參拾貳

In other modern scripts

Eastern Arabic ٩٨٨٨٣٢ Devanagari ९८८८३२ Bengali ৯৮৮৮৩২ Tamil ௯௮௮௮௩௨ Thai ๙๘๘๘๓๒ Tibetan ༩༨༨༨༣༢ Khmer ៩៨៨៨៣២ Lao ໙໘໘໘໓໒ Burmese ၉၈၈၈၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988832, here are decompositions:

3 + 988829 = 988832
43 + 988789 = 988832
73 + 988759 = 988832
139 + 988693 = 988832
151 + 988681 = 988832
181 + 988651 = 988832
241 + 988591 = 988832
283 + 988549 = 988832

Showing the first eight; more decompositions exist.

Hex color

#0F16A0

RGB(15, 22, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.22.160.

Address: 0.15.22.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.22.160

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 988,832 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 US988,832 on Google Patents ↗ Look up on USPTO ↗