Live analysis

988,464

988,464 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.).

988,464 (nine hundred eighty-eight thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 20,593. Its proper divisors sum to 1,565,192, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1530.

Abundant Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

988,452 988,453 988,454 988,455 988,456 988,457 988,458 988,459 988,460 988,461 988,462 988,463 988,464 988,465 988,466 988,467 988,468 988,469 988,470 988,471 988,472 988,473 988,474 988,475 988,476

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 39
Digit product: 55,296
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 464,889
Square (n²): 977,061,079,296
Cube (n³): 965,789,702,685,241,344
Divisor count: 20
σ(n) — sum of divisors: 2,553,656
φ(n) — Euler's totient: 329,472
Sum of prime factors: 20,604

Primality

Prime factorization: 2 ⁴ × 3 × 20593

Nearest primes: 988,459 (−5) · 988,483 (+19)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 20593 · 41186 · 61779 · 82372 · 123558 · 164744 · 247116 · 329488 · 494232 (half) · 988464

Aliquot sum (sum of proper divisors): 1,565,192

Factor pairs (a × b = 988,464)

1 × 988464

2 × 494232

3 × 329488

4 × 247116

6 × 164744

8 × 123558

12 × 82372

16 × 61779

24 × 41186

48 × 20593

First multiples

988,464 · 1,976,928 (double) · 2,965,392 · 3,953,856 · 4,942,320 · 5,930,784 · 6,919,248 · 7,907,712 · 8,896,176 · 9,884,640

Sums & aliquot sequence

As consecutive integers: 329,487 + 329,488 + 329,489 30,874 + 30,875 + … + 30,905 10,249 + 10,250 + … + 10,344

Aliquot sequence: 988,464 → 1,565,192 → 1,401,268 → 1,273,964 → 965,140 → 1,321,004 → 1,009,324 → 861,020 → 947,164 → 726,620 → 833,764 → 625,330 → 500,282 → 268,570 → 221,318 → 118,882 → 59,444 — unresolved within range

Continued fraction of √n

√988,464 = [994; (4, 1, 1, 1, 4, 1, 1, 4, 1, 1, 1, 1, 1, 1, 7, 5, 1, 1, 13, 1, 1, 1, 13, 4, …)]

Representations

In words: nine hundred eighty-eight thousand four hundred sixty-four
Ordinal: 988464th
Binary: 11110001010100110000
Octal: 3612460
Hexadecimal: 0xF1530
Base64: DxUw
One's complement: 4,293,978,831 (32-bit)
Scientific notation: 9.88464 × 10⁵
As a duration: 988,464 s = 11 days, 10 hours, 34 minutes, 24 seconds

In other bases

ternary (3) 1212012220210

quaternary (4) 3301110300

quinary (5) 223112324

senary (6) 33104120

septenary (7) 11254551

nonary (9) 1765823

undecimal (11) 615714

duodecimal (12) 3b8040

tridecimal (13) 287bb9

tetradecimal (14) 1ba328

pentadecimal (15) 147d29

As an angle

988,464° = 2,745 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηυξδʹ
Chinese: 九十八萬八千四百六十四
Chinese (financial): 玖拾捌萬捌仟肆佰陸拾肆

In other modern scripts

Eastern Arabic ٩٨٨٤٦٤ Devanagari ९८८४६४ Bengali ৯৮৮৪৬৪ Tamil ௯௮௮௪௬௪ Thai ๙๘๘๔๖๔ Tibetan ༩༨༨༤༦༤ Khmer ៩៨៨៤៦៤ Lao ໙໘໘໔໖໔ Burmese ၉၈၈၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988464, here are decompositions:

5 + 988459 = 988464
11 + 988453 = 988464
47 + 988417 = 988464
97 + 988367 = 988464
107 + 988357 = 988464
151 + 988313 = 988464
167 + 988297 = 988464
193 + 988271 = 988464

Showing the first eight; more decompositions exist.

Hex color

#0F1530

RGB(15, 21, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.21.48.

Address: 0.15.21.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.21.48

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 988,464 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 US988,464 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988464 first appears in π at position 77,256 of the decimal expansion (the 77,256ordinal-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 988464 on Pi Search ↗