Live analysis

998,478

998,478 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.).

998,478 (nine hundred ninety-eight thousand four hundred seventy-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 13 × 17 × 251. Its proper divisors sum to 1,478,178, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3C4E.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

998,466 998,467 998,468 998,469 998,470 998,471 998,472 998,473 998,474 998,475 998,476 998,477 998,478 998,479 998,480 998,481 998,482 998,483 998,484 998,485 998,486 998,487 998,488 998,489 998,490

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 45
Digit product: 145,152
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 874,899
Square (n²): 996,958,316,484
Cube (n³): 995,440,945,926,311,352
Divisor count: 48
σ(n) — sum of divisors: 2,476,656
φ(n) — Euler's totient: 288,000
Sum of prime factors: 289

Primality

Prime factorization: 2 × 3 ² × 13 × 17 × 251

Nearest primes: 998,471 (−7) · 998,497 (+19)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 6 · 9 · 13 · 17 · 18 · 26 · 34 · 39 · 51 · 78 · 102 · 117 · 153 · 221 · 234 · 251 · 306 · 442 · 502 · 663 · 753 · 1326 · 1506 · 1989 · 2259 · 3263 · 3978 · 4267 · 4518 · 6526 · 8534 · 9789 · 12801 · 19578 · 25602 · 29367 · 38403 · 55471 · 58734 · 76806 · 110942 · 166413 · 332826 · 499239 (half) · 998478

Aliquot sum (sum of proper divisors): 1,478,178

Factor pairs (a × b = 998,478)

1 × 998478

2 × 499239

3 × 332826

6 × 166413

9 × 110942

13 × 76806

17 × 58734

18 × 55471

26 × 38403

34 × 29367

39 × 25602

51 × 19578

78 × 12801

102 × 9789

117 × 8534

153 × 6526

221 × 4518

234 × 4267

251 × 3978

306 × 3263

442 × 2259

502 × 1989

663 × 1506

753 × 1326

First multiples

998,478 · 1,996,956 (double) · 2,995,434 · 3,993,912 · 4,992,390 · 5,990,868 · 6,989,346 · 7,987,824 · 8,986,302 · 9,984,780

Sums & aliquot sequence

As consecutive integers: 332,825 + 332,826 + 332,827 249,618 + 249,619 + 249,620 + 249,621 110,938 + 110,939 + … + 110,946 83,201 + 83,202 + … + 83,212

Aliquot sequence: 998,478 → 1,478,178 → 1,971,450 → 3,749,538 → 4,487,838 → 4,960,482 → 5,692,638 → 8,241,954 → 10,911,582 → 14,879,898 → 20,553,318 → 25,329,402 → 39,677,958 → 48,979,962 → 57,143,328 → 109,745,184 → 179,445,984 — unresolved within range

Continued fraction of √n

√998,478 = [999; (4, 5, 3, 2, 76, 2, 3, 5, 4, 1998)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-eight thousand four hundred seventy-eight
Ordinal: 998478th
Binary: 11110011110001001110
Octal: 3636116
Hexadecimal: 0xF3C4E
Base64: DzxO
One's complement: 4,293,968,817 (32-bit)
Scientific notation: 9.98478 × 10⁵
As a duration: 998,478 s = 11 days, 13 hours, 21 minutes, 18 seconds

In other bases

ternary (3) 1212201122200

quaternary (4) 3303301032

quinary (5) 223422403

senary (6) 33222330

septenary (7) 11326005

nonary (9) 1781580

undecimal (11) 622198

duodecimal (12) 4019a6

tridecimal (13) 28c620

tetradecimal (14) 1bdc3c

pentadecimal (15) 14aca3

As an angle

998,478° = 2,773 × 360° + 198°

198° ≈ 3.456 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟηυοηʹ
Chinese: 九十九萬八千四百七十八
Chinese (financial): 玖拾玖萬捌仟肆佰柒拾捌

In other modern scripts

Eastern Arabic ٩٩٨٤٧٨ Devanagari ९९८४७८ Bengali ৯৯৮৪৭৮ Tamil ௯௯௮௪௭௮ Thai ๙๙๘๔๗๘ Tibetan ༩༩༨༤༧༨ Khmer ៩៩៨៤៧៨ Lao ໙໙໘໔໗໘ Burmese ၉၉၈၄၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998478, here are decompositions:

7 + 998471 = 998478
59 + 998419 = 998478
67 + 998411 = 998478
79 + 998399 = 998478
97 + 998381 = 998478
101 + 998377 = 998478
149 + 998329 = 998478
167 + 998311 = 998478

Showing the first eight; more decompositions exist.

Hex color

#0F3C4E

RGB(15, 60, 78)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.78.

Address: 0.15.60.78
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.60.78

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 998,478 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 US998,478 on Google Patents ↗ Look up on USPTO ↗