Live analysis

998,120

998,120 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.).

998,120 (nine hundred ninety-eight thousand one hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 24,953. Its proper divisors sum to 1,247,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3AE8.

Abundant Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

998,108 998,109 998,110 998,111 998,112 998,113 998,114 998,115 998,116 998,117 998,118 998,119 998,120 998,121 998,122 998,123 998,124 998,125 998,126 998,127 998,128 998,129 998,130 998,131 998,132

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 29
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 21,899
Square (n²): 996,243,534,400
Cube (n³): 994,370,596,555,328,000
Divisor count: 16
σ(n) — sum of divisors: 2,245,860
φ(n) — Euler's totient: 399,232
Sum of prime factors: 24,964

Primality

Prime factorization: 2 ³ × 5 × 24953

Nearest primes: 998,117 (−3) · 998,147 (+27)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 24953 · 49906 · 99812 · 124765 · 199624 · 249530 · 499060 (half) · 998120

Aliquot sum (sum of proper divisors): 1,247,740

Factor pairs (a × b = 998,120)

1 × 998120

2 × 499060

4 × 249530

5 × 199624

8 × 124765

10 × 99812

20 × 49906

40 × 24953

First multiples

998,120 · 1,996,240 (double) · 2,994,360 · 3,992,480 · 4,990,600 · 5,988,720 · 6,986,840 · 7,984,960 · 8,983,080 · 9,981,200

Sums & aliquot sequence

As a sum of two squares: 46² + 998² = 562² + 826²

As consecutive integers: 199,622 + 199,623 + 199,624 + 199,625 + 199,626 62,375 + 62,376 + … + 62,390 12,437 + 12,438 + … + 12,516

Aliquot sequence: 998,120 → 1,247,740 → 1,574,660 → 1,810,876 → 1,530,644 → 1,147,990 → 918,410 → 734,746 → 397,274 → 198,640 → 301,328 → 299,452 → 237,084 → 340,836 → 454,476 → 714,860 → 836,116 — unresolved within range

Continued fraction of √n

√998,120 = [999; (16, 1, 3, 1, 3, 2, 1, 2, 12, 1, 6, 4, 1, 2, 1, 6, 5, 1, 1, 1, 16, 6, 1, 39, …)]

Representations

In words: nine hundred ninety-eight thousand one hundred twenty
Ordinal: 998120th
Binary: 11110011101011101000
Octal: 3635350
Hexadecimal: 0xF3AE8
Base64: Dzro
One's complement: 4,293,969,175 (32-bit)
Scientific notation: 9.9812 × 10⁵
As a duration: 998,120 s = 11 days, 13 hours, 15 minutes, 20 seconds

In other bases

ternary (3) 1212201011102

quaternary (4) 3303223220

quinary (5) 223414440

senary (6) 33220532

septenary (7) 11324654

nonary (9) 1781142

undecimal (11) 6219a2

duodecimal (12) 401748

tridecimal (13) 28c406

tetradecimal (14) 1bda64

pentadecimal (15) 14ab15

As an angle

998,120° = 2,772 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵ϡϟηρκʹ
Chinese: 九十九萬八千一百二十
Chinese (financial): 玖拾玖萬捌仟壹佰貳拾

In other modern scripts

Eastern Arabic ٩٩٨١٢٠ Devanagari ९९८१२० Bengali ৯৯৮১২০ Tamil ௯௯௮௧௨௦ Thai ๙๙๘๑๒๐ Tibetan ༩༩༨༡༢༠ Khmer ៩៩៨១២០ Lao ໙໙໘໑໒໐ Burmese ၉၉၈၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998120, here are decompositions:

3 + 998117 = 998120
37 + 998083 = 998120
43 + 998077 = 998120
103 + 998017 = 998120
157 + 997963 = 998120
223 + 997897 = 998120
229 + 997891 = 998120
241 + 997879 = 998120

Showing the first eight; more decompositions exist.

Hex color

#0F3AE8

RGB(15, 58, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.232.

Address: 0.15.58.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.232

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 998,120 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 US998,120 on Google Patents ↗ Look up on USPTO ↗