Live analysis

998,142

998,142 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.).

998,142 (nine hundred ninety-eight thousand one hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 166,357. Its proper divisors sum to 998,154, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3AFE.

Abundant Number Arithmetic Number Cube-Free Odious Number Semiperfect Number Smith Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

998,130 998,131 998,132 998,133 998,134 998,135 998,136 998,137 998,138 998,139 998,140 998,141 998,142 998,143 998,144 998,145 998,146 998,147 998,148 998,149 998,150 998,151 998,152 998,153 998,154

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 5,184
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 241,899
Square (n²): 996,287,452,164
Cube (n³): 994,436,350,077,879,288
Divisor count: 8
σ(n) — sum of divisors: 1,996,296
φ(n) — Euler's totient: 332,712
Sum of prime factors: 166,362

Primality

Prime factorization: 2 × 3 × 166357

Nearest primes: 998,117 (−25) · 998,147 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 166357 · 332714 · 499071 (half) · 998142

Aliquot sum (sum of proper divisors): 998,154

Factor pairs (a × b = 998,142)

1 × 998142

2 × 499071

3 × 332714

6 × 166357

First multiples

998,142 · 1,996,284 (double) · 2,994,426 · 3,992,568 · 4,990,710 · 5,988,852 · 6,986,994 · 7,985,136 · 8,983,278 · 9,981,420

Sums & aliquot sequence

As consecutive integers: 332,713 + 332,714 + 332,715 249,534 + 249,535 + 249,536 + 249,537 83,173 + 83,174 + … + 83,184

Aliquot sequence: 998,142 → 998,154 → 1,259,478 → 1,717,938 → 2,004,300 → 4,698,396 → 7,805,004 → 11,199,156 → 14,932,236 → 23,077,428 → 35,665,452 → 54,488,976 → 86,274,336 → 140,196,048 → 221,977,200 → 495,820,608 → 816,038,592 — unresolved within range

Continued fraction of √n

√998,142 = [999; (14, 5, 1, 6, 32, 12, 4, 2, 1, 1, 12, 1, 4, 1, 1, 7, 12, 2, 3, 3, 4, 1, 2, 1, …)]

Representations

In words: nine hundred ninety-eight thousand one hundred forty-two
Ordinal: 998142nd
Binary: 11110011101011111110
Octal: 3635376
Hexadecimal: 0xF3AFE
Base64: Dzr+
One's complement: 4,293,969,153 (32-bit)
Scientific notation: 9.98142 × 10⁵
As a duration: 998,142 s = 11 days, 13 hours, 15 minutes, 42 seconds

In other bases

ternary (3) 1212201012020

quaternary (4) 3303223332

quinary (5) 223420032

senary (6) 33221010

septenary (7) 11325015

nonary (9) 1781166

undecimal (11) 621a12

duodecimal (12) 401766

tridecimal (13) 28c422

tetradecimal (14) 1bda7c

pentadecimal (15) 14ab2c

As an angle

998,142° = 2,772 × 360° + 222°

222° ≈ 3.875 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡϟηρμβʹ
Chinese: 九十九萬八千一百四十二
Chinese (financial): 玖拾玖萬捌仟壹佰肆拾貳

In other modern scripts

Eastern Arabic ٩٩٨١٤٢ Devanagari ९९८१४२ Bengali ৯৯৮১৪২ Tamil ௯௯௮௧௪௨ Thai ๙๙๘๑๔๒ Tibetan ༩༩༨༡༤༢ Khmer ៩៩៨១៤២ Lao ໙໙໘໑໔໒ Burmese ၉၉၈၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998142, here are decompositions:

31 + 998111 = 998142
59 + 998083 = 998142
71 + 998071 = 998142
73 + 998069 = 998142
113 + 998029 = 998142
151 + 997991 = 998142
179 + 997963 = 998142
181 + 997961 = 998142

Showing the first eight; more decompositions exist.

Hex color

#0F3AFE

RGB(15, 58, 254)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.254.

Address: 0.15.58.254
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.254

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 998,142 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 US998,142 on Google Patents ↗ Look up on USPTO ↗