Live analysis

998,124

998,124 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.).

998,124 (nine hundred ninety-eight thousand one hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 83,177. Its proper divisors sum to 1,330,860, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3AEC.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Refactorable Number Semiperfect Number Smith Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

998,112 998,113 998,114 998,115 998,116 998,117 998,118 998,119 998,120 998,121 998,122 998,123 998,124 998,125 998,126 998,127 998,128 998,129 998,130 998,131 998,132 998,133 998,134 998,135 998,136

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: 421,899
Square (n²): 996,251,519,376
Cube (n³): 994,382,551,525,650,624
Divisor count: 12
σ(n) — sum of divisors: 2,328,984
φ(n) — Euler's totient: 332,704
Sum of prime factors: 83,184

Primality

Prime factorization: 2 ² × 3 × 83177

Nearest primes: 998,117 (−7) · 998,147 (+23)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 83177 · 166354 · 249531 · 332708 · 499062 (half) · 998124

Aliquot sum (sum of proper divisors): 1,330,860

Factor pairs (a × b = 998,124)

1 × 998124

2 × 499062

3 × 332708

4 × 249531

6 × 166354

12 × 83177

First multiples

998,124 · 1,996,248 (double) · 2,994,372 · 3,992,496 · 4,990,620 · 5,988,744 · 6,986,868 · 7,984,992 · 8,983,116 · 9,981,240

Sums & aliquot sequence

As consecutive integers: 332,707 + 332,708 + 332,709 124,762 + 124,763 + … + 124,769 41,577 + 41,578 + … + 41,600

Aliquot sequence: 998,124 → 1,330,860 → 2,493,492 → 3,695,628 → 4,927,532 → 3,695,656 → 3,233,714 → 2,057,854 → 1,035,194 → 517,600 → 747,944 → 654,466 → 385,034 → 250,006 → 125,006 → 89,314 → 44,660 — unresolved within range

Continued fraction of √n

√998,124 = [999; (16, 4, 10, 1, 10, 1, 56, 5, 1, 3, 2, 2, 1, 9, 2, 16, 5, 1, 2, 3, 3, 1, 5, 5, …)]

Representations

In words: nine hundred ninety-eight thousand one hundred twenty-four
Ordinal: 998124th
Binary: 11110011101011101100
Octal: 3635354
Hexadecimal: 0xF3AEC
Base64: Dzrs
One's complement: 4,293,969,171 (32-bit)
Scientific notation: 9.98124 × 10⁵
As a duration: 998,124 s = 11 days, 13 hours, 15 minutes, 24 seconds

In other bases

ternary (3) 1212201011120

quaternary (4) 3303223230

quinary (5) 223414444

senary (6) 33220540

septenary (7) 11324661

nonary (9) 1781146

undecimal (11) 6219a6

duodecimal (12) 401750

tridecimal (13) 28c40a

tetradecimal (14) 1bda68

pentadecimal (15) 14ab19

As an angle

998,124° = 2,772 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟηρκδʹ
Chinese: 九十九萬八千一百二十四
Chinese (financial): 玖拾玖萬捌仟壹佰貳拾肆

In other modern scripts

Eastern Arabic ٩٩٨١٢٤ Devanagari ९९८१२४ Bengali ৯৯৮১২৪ Tamil ௯௯௮௧௨௪ Thai ๙๙๘๑๒๔ Tibetan ༩༩༨༡༢༤ Khmer ៩៩៨១២៤ Lao ໙໙໘໑໒໔ Burmese ၉၉၈၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998124, here are decompositions:

7 + 998117 = 998124
13 + 998111 = 998124
41 + 998083 = 998124
47 + 998077 = 998124
53 + 998071 = 998124
97 + 998027 = 998124
107 + 998017 = 998124
151 + 997973 = 998124

Showing the first eight; more decompositions exist.

Hex color

#0F3AEC

RGB(15, 58, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.236.

Address: 0.15.58.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.236

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 998,124 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 US998,124 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998124 first appears in π at position 292,580 of the decimal expansion (the 292,580ordinal-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 998124 on Pi Search ↗