Live analysis

998,480

998,480 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.).

998,480 (nine hundred ninety-eight thousand four hundred eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 1,783. Its proper divisors sum to 1,656,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3C50.

Abundant Number Evil Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

998,468 998,469 998,470 998,471 998,472 998,473 998,474 998,475 998,476 998,477 998,478 998,479 998,480 998,481 998,482 998,483 998,484 998,485 998,486 998,487 998,488 998,489 998,490 998,491 998,492

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 38
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 84,899
Square (n²): 996,962,310,400
Cube (n³): 995,446,927,688,192,000
Divisor count: 40
σ(n) — sum of divisors: 2,654,592
φ(n) — Euler's totient: 342,144
Sum of prime factors: 1,803

Primality

Prime factorization: 2 ⁴ × 5 × 7 × 1783

Nearest primes: 998,471 (−9) · 998,497 (+17)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 35 · 40 · 56 · 70 · 80 · 112 · 140 · 280 · 560 · 1783 · 3566 · 7132 · 8915 · 12481 · 14264 · 17830 · 24962 · 28528 · 35660 · 49924 · 62405 · 71320 · 99848 · 124810 · 142640 · 199696 · 249620 · 499240 (half) · 998480

Aliquot sum (sum of proper divisors): 1,656,112

Factor pairs (a × b = 998,480)

1 × 998480

2 × 499240

4 × 249620

5 × 199696

7 × 142640

8 × 124810

10 × 99848

14 × 71320

16 × 62405

20 × 49924

28 × 35660

35 × 28528

40 × 24962

56 × 17830

70 × 14264

80 × 12481

112 × 8915

140 × 7132

280 × 3566

560 × 1783

First multiples

998,480 · 1,996,960 (double) · 2,995,440 · 3,993,920 · 4,992,400 · 5,990,880 · 6,989,360 · 7,987,840 · 8,986,320 · 9,984,800

Sums & aliquot sequence

As consecutive integers: 199,694 + 199,695 + 199,696 + 199,697 + 199,698 142,637 + 142,638 + … + 142,643 31,187 + 31,188 + … + 31,218 28,511 + 28,512 + … + 28,545

Aliquot sequence: 998,480 → 1,656,112 → 1,591,448 → 1,406,512 → 1,479,464 → 1,803,736 → 1,940,264 → 1,697,746 → 963,374 → 493,114 → 246,560 → 370,336 → 373,568 → 426,532 → 345,848 → 341,032 → 312,728 — unresolved within range

Continued fraction of √n

√998,480 = [999; (4, 5, 1, 4, 1, 2, 3, 2, 5, 1, 4, 3, 1, 3, 64, 4, 1, 30, 2, 2, 1, 6, 4, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-eight thousand four hundred eighty
Ordinal: 998480th
Binary: 11110011110001010000
Octal: 3636120
Hexadecimal: 0xF3C50
Base64: DzxQ
One's complement: 4,293,968,815 (32-bit)
Scientific notation: 9.9848 × 10⁵
As a duration: 998,480 s = 11 days, 13 hours, 21 minutes, 20 seconds

In other bases

ternary (3) 1212201122202

quaternary (4) 3303301100

quinary (5) 223422410

senary (6) 33222332

septenary (7) 11326010

nonary (9) 1781582

undecimal (11) 62219a

duodecimal (12) 4019a8

tridecimal (13) 28c622

tetradecimal (14) 1bdc40

pentadecimal (15) 14aca5

As an angle

998,480° = 2,773 × 360° + 200°

200° ≈ 3.491 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϡϟηυπʹ
Chinese: 九十九萬八千四百八十
Chinese (financial): 玖拾玖萬捌仟肆佰捌拾

In other modern scripts

Eastern Arabic ٩٩٨٤٨٠ Devanagari ९९८४८० Bengali ৯৯৮৪৮০ Tamil ௯௯௮௪௮௦ Thai ๙๙๘๔๘๐ Tibetan ༩༩༨༤༨༠ Khmer ៩៩៨៤៨០ Lao ໙໙໘໔໘໐ Burmese ၉၉၈၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998480, here are decompositions:

37 + 998443 = 998480
61 + 998419 = 998480
103 + 998377 = 998480
127 + 998353 = 998480
151 + 998329 = 998480
193 + 998287 = 998480
199 + 998281 = 998480
283 + 998197 = 998480

Showing the first eight; more decompositions exist.

Hex color

#0F3C50

RGB(15, 60, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.80.

Address: 0.15.60.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.60.80

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 998,480 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 US998,480 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998480 first appears in π at position 574,006 of the decimal expansion (the 574,006ordinal-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 998480 on Pi Search ↗