Live analysis

988,488

988,488 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.).

988,488 (nine hundred eighty-eight thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 13,729. Its proper divisors sum to 1,688,862, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1548.

Abundant Number Odious Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

988,476 988,477 988,478 988,479 988,480 988,481 988,482 988,483 988,484 988,485 988,486 988,487 988,488 988,489 988,490 988,491 988,492 988,493 988,494 988,495 988,496 988,497 988,498 988,499 988,500

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 45
Digit product: 147,456
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 884,889
Square (n²): 977,108,526,144
Cube (n³): 965,860,052,791,030,272
Divisor count: 24
σ(n) — sum of divisors: 2,677,350
φ(n) — Euler's totient: 329,472
Sum of prime factors: 13,741

Primality

Prime factorization: 2 ³ × 3 ² × 13729

Nearest primes: 988,483 (−5) · 988,489 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 13729 · 27458 · 41187 · 54916 · 82374 · 109832 · 123561 · 164748 · 247122 · 329496 · 494244 (half) · 988488

Aliquot sum (sum of proper divisors): 1,688,862

Factor pairs (a × b = 988,488)

1 × 988488

2 × 494244

3 × 329496

4 × 247122

6 × 164748

8 × 123561

9 × 109832

12 × 82374

18 × 54916

24 × 41187

36 × 27458

72 × 13729

First multiples

988,488 · 1,976,976 (double) · 2,965,464 · 3,953,952 · 4,942,440 · 5,930,928 · 6,919,416 · 7,907,904 · 8,896,392 · 9,884,880

Sums & aliquot sequence

As a sum of two squares: 318² + 942²

As consecutive integers: 329,495 + 329,496 + 329,497 109,828 + 109,829 + … + 109,836 61,773 + 61,774 + … + 61,788 20,570 + 20,571 + … + 20,617

Aliquot sequence: 988,488 → 1,688,862 → 2,227,938 → 2,243,262 → 2,884,290 → 4,131,390 → 5,784,018 → 6,527,982 → 7,336,338 → 7,336,350 → 16,688,898 → 19,470,420 → 42,170,796 → 67,031,388 → 108,202,748 → 82,134,532 → 61,600,906 — unresolved within range

Continued fraction of √n

√988,488 = [994; (4, 2, 1, 1, 30, 1, 34, 1, 1, 5, 1, 3, 1, 1, 1, 26, 1, 39, 1, 1, 1, 1, 1, 1, …)]

Representations

In words: nine hundred eighty-eight thousand four hundred eighty-eight
Ordinal: 988488th
Binary: 11110001010101001000
Octal: 3612510
Hexadecimal: 0xF1548
Base64: DxVI
One's complement: 4,293,978,807 (32-bit)
Scientific notation: 9.88488 × 10⁵
As a duration: 988,488 s = 11 days, 10 hours, 34 minutes, 48 seconds

In other bases

ternary (3) 1212012221200

quaternary (4) 3301111020

quinary (5) 223112423

senary (6) 33104200

septenary (7) 11254614

nonary (9) 1765850

undecimal (11) 615736

duodecimal (12) 3b8060

tridecimal (13) 287c07

tetradecimal (14) 1ba344

pentadecimal (15) 147d43

As an angle

988,488° = 2,745 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηυπηʹ
Chinese: 九十八萬八千四百八十八
Chinese (financial): 玖拾捌萬捌仟肆佰捌拾捌

In other modern scripts

Eastern Arabic ٩٨٨٤٨٨ Devanagari ९८८४८८ Bengali ৯৮৮৪৮৮ Tamil ௯௮௮௪௮௮ Thai ๙๘๘๔๘๘ Tibetan ༩༨༨༤༨༨ Khmer ៩៨៨៤៨៨ Lao ໙໘໘໔໘໘ Burmese ၉၈၈၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988488, here are decompositions:

5 + 988483 = 988488
29 + 988459 = 988488
71 + 988417 = 988488
79 + 988409 = 988488
131 + 988357 = 988488
167 + 988321 = 988488
191 + 988297 = 988488
251 + 988237 = 988488

Showing the first eight; more decompositions exist.

Hex color

#0F1548

RGB(15, 21, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.21.72.

Address: 0.15.21.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.21.72

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 988,488 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 US988,488 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988488 first appears in π at position 498,162 of the decimal expansion (the 498,162ordinal-suffix:nd 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 988488 on Pi Search ↗