Live analysis

988,400

988,400 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.).

988,400 (nine hundred eighty-eight thousand four hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 7 × 353. Its proper divisors sum to 1,733,152, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF14F0.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

988,388 988,389 988,390 988,391 988,392 988,393 988,394 988,395 988,396 988,397 988,398 988,399 988,400 988,401 988,402 988,403 988,404 988,405 988,406 988,407 988,408 988,409 988,410 988,411 988,412

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 29
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 4,889
Square (n²): 976,934,560,000
Cube (n³): 965,602,119,104,000,000
Divisor count: 60
σ(n) — sum of divisors: 2,721,552
φ(n) — Euler's totient: 337,920
Sum of prime factors: 378

Primality

Prime factorization: 2 ⁴ × 5 ² × 7 × 353

Nearest primes: 988,367 (−33) · 988,409 (+9)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 35 · 40 · 50 · 56 · 70 · 80 · 100 · 112 · 140 · 175 · 200 · 280 · 350 · 353 · 400 · 560 · 700 · 706 · 1400 · 1412 · 1765 · 2471 · 2800 · 2824 · 3530 · 4942 · 5648 · 7060 · 8825 · 9884 · 12355 · 14120 · 17650 · 19768 · 24710 · 28240 · 35300 · 39536 · 49420 · 61775 · 70600 · 98840 · 123550 · 141200 · 197680 · 247100 · 494200 (half) · 988400

Aliquot sum (sum of proper divisors): 1,733,152

Factor pairs (a × b = 988,400)

1 × 988400

2 × 494200

4 × 247100

5 × 197680

7 × 141200

8 × 123550

10 × 98840

14 × 70600

16 × 61775

20 × 49420

25 × 39536

28 × 35300

35 × 28240

40 × 24710

50 × 19768

56 × 17650

70 × 14120

80 × 12355

100 × 9884

112 × 8825

140 × 7060

175 × 5648

200 × 4942

280 × 3530

350 × 2824

353 × 2800

400 × 2471

560 × 1765

700 × 1412

706 × 1400

First multiples

988,400 · 1,976,800 (double) · 2,965,200 · 3,953,600 · 4,942,000 · 5,930,400 · 6,918,800 · 7,907,200 · 8,895,600 · 9,884,000

Sums & aliquot sequence

As consecutive integers: 197,678 + 197,679 + 197,680 + 197,681 + 197,682 141,197 + 141,198 + … + 141,203 39,524 + 39,525 + … + 39,548 30,872 + 30,873 + … + 30,903

Aliquot sequence: 988,400 → 1,733,152 → 1,764,860 → 1,991,620 → 2,190,824 → 2,231,776 → 2,213,504 → 2,196,466 → 1,098,236 → 831,076 → 623,314 → 384,686 → 192,346 → 167,654 → 98,674 → 51,086 → 39,634 — unresolved within range

Continued fraction of √n

√988,400 = [994; (5, 2, 6, 11, 1, 1, 1, 1, 3, 5, 4, 2, 1, 16, 2, 4, 2, 16, 1, 2, 4, 5, 3, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand four hundred
Ordinal: 988400th
Binary: 11110001010011110000
Octal: 3612360
Hexadecimal: 0xF14F0
Base64: DxTw
One's complement: 4,293,978,895 (32-bit)
Scientific notation: 9.884 × 10⁵
As a duration: 988,400 s = 11 days, 10 hours, 33 minutes, 20 seconds

In other bases

ternary (3) 1212012211102

quaternary (4) 3301103300

quinary (5) 223112100

senary (6) 33103532

septenary (7) 11254430

nonary (9) 1765742

undecimal (11) 615666

duodecimal (12) 3b7ba8

tridecimal (13) 287b6a

tetradecimal (14) 1ba2c0

pentadecimal (15) 147cd5

As an angle

988,400° = 2,745 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ϡπηυʹ
Chinese: 九十八萬八千四百
Chinese (financial): 玖拾捌萬捌仟肆佰

In other modern scripts

Eastern Arabic ٩٨٨٤٠٠ Devanagari ९८८४०० Bengali ৯৮৮৪০০ Tamil ௯௮௮௪௦௦ Thai ๙๘๘๔๐๐ Tibetan ༩༨༨༤༠༠ Khmer ៩៨៨៤០០ Lao ໙໘໘໔໐໐ Burmese ၉၈၈၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988400, here are decompositions:

43 + 988357 = 988400
79 + 988321 = 988400
103 + 988297 = 988400
157 + 988243 = 988400
163 + 988237 = 988400
181 + 988219 = 988400
271 + 988129 = 988400
307 + 988093 = 988400

Showing the first eight; more decompositions exist.

Hex color

#0F14F0

RGB(15, 20, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.240.

Address: 0.15.20.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.20.240

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 988,400 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 US988,400 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988400 first appears in π at position 180,354 of the decimal expansion (the 180,354ordinal-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 988400 on Pi Search ↗