Live analysis

988,704

988,704 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.).

988,704 (nine hundred eighty-eight thousand seven hundred four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 3² × 3,433. Its proper divisors sum to 1,823,742, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1620.

Abundant Number Evil Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

988,692 988,693 988,694 988,695 988,696 988,697 988,698 988,699 988,700 988,701 988,702 988,703 988,704 988,705 988,706 988,707 988,708 988,709 988,710 988,711 988,712 988,713 988,714 988,715 988,716

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 36
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 407,889
Square (n²): 977,535,599,616
Cube (n³): 966,493,357,482,737,664
Divisor count: 36
σ(n) — sum of divisors: 2,812,446
φ(n) — Euler's totient: 329,472
Sum of prime factors: 3,449

Primality

Prime factorization: 2 ⁵ × 3 ² × 3433

Nearest primes: 988,693 (−11) · 988,711 (+7)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 72 · 96 · 144 · 288 · 3433 · 6866 · 10299 · 13732 · 20598 · 27464 · 30897 · 41196 · 54928 · 61794 · 82392 · 109856 · 123588 · 164784 · 247176 · 329568 · 494352 (half) · 988704

Aliquot sum (sum of proper divisors): 1,823,742

Factor pairs (a × b = 988,704)

1 × 988704

2 × 494352

3 × 329568

4 × 247176

6 × 164784

8 × 123588

9 × 109856

12 × 82392

16 × 61794

18 × 54928

24 × 41196

32 × 30897

36 × 27464

48 × 20598

72 × 13732

96 × 10299

144 × 6866

288 × 3433

First multiples

988,704 · 1,977,408 (double) · 2,966,112 · 3,954,816 · 4,943,520 · 5,932,224 · 6,920,928 · 7,909,632 · 8,898,336 · 9,887,040

Sums & aliquot sequence

As a sum of two squares: 300² + 948²

As consecutive integers: 329,567 + 329,568 + 329,569 109,852 + 109,853 + … + 109,860 15,417 + 15,418 + … + 15,480 5,054 + 5,055 + … + 5,245

Aliquot sequence: 988,704 → 1,823,742 → 2,229,138 → 2,684,862 → 3,132,378 → 4,470,822 → 5,464,458 → 6,375,240 → 14,879,160 → 36,960,840 → 103,871,160 → 245,262,240 → 597,213,576 → 1,047,666,024 → 1,807,866,396 → 3,414,859,476 → 5,719,018,284 — unresolved within range

Continued fraction of √n

√988,704 = [994; (2, 1, 41, 1, 1, 1, 4, 1, 1, 3, 9, 3, 13, 2, 21, 7, 2, 5, 2, 3, 3, 3, 8, 55, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand seven hundred four
Ordinal: 988704th
Binary: 11110001011000100000
Octal: 3613040
Hexadecimal: 0xF1620
Base64: DxYg
One's complement: 4,293,978,591 (32-bit)
Scientific notation: 9.88704 × 10⁵
As a duration: 988,704 s = 11 days, 10 hours, 38 minutes, 24 seconds

In other bases

ternary (3) 1212020020200

quaternary (4) 3301120200

quinary (5) 223114304

senary (6) 33105200

septenary (7) 11255343

nonary (9) 1766220

undecimal (11) 615912

duodecimal (12) 3b8200

tridecimal (13) 288042

tetradecimal (14) 1ba45a

pentadecimal (15) 147e39

As an angle

988,704° = 2,746 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηψδʹ
Chinese: 九十八萬八千七百零四
Chinese (financial): 玖拾捌萬捌仟柒佰零肆

In other modern scripts

Eastern Arabic ٩٨٨٧٠٤ Devanagari ९८८७०४ Bengali ৯৮৮৭০৪ Tamil ௯௮௮௭௦௪ Thai ๙๘๘๗๐๔ Tibetan ༩༨༨༧༠༤ Khmer ៩៨៨៧០៤ Lao ໙໘໘໗໐໔ Burmese ၉၈၈၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988704, here are decompositions:

11 + 988693 = 988704
23 + 988681 = 988704
43 + 988661 = 988704
53 + 988651 = 988704
61 + 988643 = 988704
97 + 988607 = 988704
113 + 988591 = 988704
127 + 988577 = 988704

Showing the first eight; more decompositions exist.

Hex color

#0F1620

RGB(15, 22, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.22.32.

Address: 0.15.22.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.22.32

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 988,704 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 US988,704 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988704 first appears in π at position 753,929 of the decimal expansion (the 753,929ordinal-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 988704 on Pi Search ↗