Live analysis

998,040

998,040 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.).

998,040 (nine hundred ninety-eight thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 8,317. Its proper divisors sum to 1,996,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3A98.

Abundant Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

998,028 998,029 998,030 998,031 998,032 998,033 998,034 998,035 998,036 998,037 998,038 998,039 998,040 998,041 998,042 998,043 998,044 998,045 998,046 998,047 998,048 998,049 998,050 998,051 998,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 40,899
Square (n²): 996,083,841,600
Cube (n³): 994,131,517,270,464,000
Divisor count: 32
σ(n) — sum of divisors: 2,994,480
φ(n) — Euler's totient: 266,112
Sum of prime factors: 8,331

Primality

Prime factorization: 2 ³ × 3 × 5 × 8317

Nearest primes: 998,029 (−11) · 998,069 (+29)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 8317 · 16634 · 24951 · 33268 · 41585 · 49902 · 66536 · 83170 · 99804 · 124755 · 166340 · 199608 · 249510 · 332680 · 499020 (half) · 998040

Aliquot sum (sum of proper divisors): 1,996,440

Factor pairs (a × b = 998,040)

1 × 998040

2 × 499020

3 × 332680

4 × 249510

5 × 199608

6 × 166340

8 × 124755

10 × 99804

12 × 83170

15 × 66536

20 × 49902

24 × 41585

30 × 33268

40 × 24951

60 × 16634

120 × 8317

First multiples

998,040 · 1,996,080 (double) · 2,994,120 · 3,992,160 · 4,990,200 · 5,988,240 · 6,986,280 · 7,984,320 · 8,982,360 · 9,980,400

Sums & aliquot sequence

As consecutive integers: 332,679 + 332,680 + 332,681 199,606 + 199,607 + 199,608 + 199,609 + 199,610 66,529 + 66,530 + … + 66,543 62,370 + 62,371 + … + 62,385

Aliquot sequence: 998,040 → 1,996,440 → 4,086,120 → 8,899,800 → 25,264,680 → 65,973,720 → 133,441,800 → 280,229,640 → 560,459,640 → 1,258,194,120 → 2,524,812,600 → 5,323,256,520 → 10,729,327,800 — keeps growing

Continued fraction of √n

√998,040 = [999; (51, 4, 3, 11, 1, 1, 16, 3, 1, 2, 1, 1, 8, 1, 2, 1, 1, 9, 4, 1, 1, 7, 2, 7, …)]

Representations

In words: nine hundred ninety-eight thousand forty
Ordinal: 998040th
Binary: 11110011101010011000
Octal: 3635230
Hexadecimal: 0xF3A98
Base64: DzqY
One's complement: 4,293,969,255 (32-bit)
Scientific notation: 9.9804 × 10⁵
As a duration: 998,040 s = 11 days, 13 hours, 14 minutes

In other bases

ternary (3) 1212201001110

quaternary (4) 3303222120

quinary (5) 223414130

senary (6) 33220320

septenary (7) 11324511

nonary (9) 1781043

undecimal (11) 62192a

duodecimal (12) 4016a0

tridecimal (13) 28c374

tetradecimal (14) 1bda08

pentadecimal (15) 14aab0

As an angle

998,040° = 2,772 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϡϟημʹ
Chinese: 九十九萬八千零四十
Chinese (financial): 玖拾玖萬捌仟零肆拾

In other modern scripts

Eastern Arabic ٩٩٨٠٤٠ Devanagari ९९८०४० Bengali ৯৯৮০৪০ Tamil ௯௯௮௦௪௦ Thai ๙๙๘๐๔๐ Tibetan ༩༩༨༠༤༠ Khmer ៩៩៨០៤០ Lao ໙໙໘໐໔໐ Burmese ၉၉၈၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998040, here are decompositions:

11 + 998029 = 998040
13 + 998027 = 998040
23 + 998017 = 998040
31 + 998009 = 998040
67 + 997973 = 998040
79 + 997961 = 998040
107 + 997933 = 998040
149 + 997891 = 998040

Showing the first eight; more decompositions exist.

Hex color

#0F3A98

RGB(15, 58, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.152.

Address: 0.15.58.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.152

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 998,040 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 US998,040 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998040 first appears in π at position 265,037 of the decimal expansion (the 265,037ordinal-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 998040 on Pi Search ↗