Live analysis

998,748

998,748 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.).

998,748 (nine hundred ninety-eight thousand seven hundred forty-eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 27,743. Its proper divisors sum to 1,525,956, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3D5C.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

998,736 998,737 998,738 998,739 998,740 998,741 998,742 998,743 998,744 998,745 998,746 998,747 998,748 998,749 998,750 998,751 998,752 998,753 998,754 998,755 998,756 998,757 998,758 998,759 998,760

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: 847,899
Square (n²): 997,497,567,504
Cube (n³): 996,248,700,549,484,992
Divisor count: 18
σ(n) — sum of divisors: 2,524,704
φ(n) — Euler's totient: 332,904
Sum of prime factors: 27,753

Primality

Prime factorization: 2 ² × 3 ² × 27743

Nearest primes: 998,743 (−5) · 998,749 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 27743 · 55486 · 83229 · 110972 · 166458 · 249687 · 332916 · 499374 (half) · 998748

Aliquot sum (sum of proper divisors): 1,525,956

Factor pairs (a × b = 998,748)

1 × 998748

2 × 499374

3 × 332916

4 × 249687

6 × 166458

9 × 110972

12 × 83229

18 × 55486

36 × 27743

First multiples

998,748 · 1,997,496 (double) · 2,996,244 · 3,994,992 · 4,993,740 · 5,992,488 · 6,991,236 · 7,989,984 · 8,988,732 · 9,987,480

Sums & aliquot sequence

As consecutive integers: 332,915 + 332,916 + 332,917 124,840 + 124,841 + … + 124,847 110,968 + 110,969 + … + 110,976 41,603 + 41,604 + … + 41,626

Aliquot sequence: 998,748 → 1,525,956 → 2,034,636 → 2,712,876 → 3,645,588 → 4,892,172 → 6,892,020 → 14,551,500 → 28,691,700 → 55,782,060 → 102,978,612 → 180,993,804 → 250,311,924 → 399,814,476 → 536,390,388 → 822,013,932 → 1,162,158,468 — unresolved within range

Continued fraction of √n

√998,748 = [999; (2, 1, 2, 12, 1, 2, 4, 1, 2, 2, 1, 1, 8, 4, 1, 1, 2, 16, 7, 1, 6, 1, 2, 1, …)]

Representations

In words: nine hundred ninety-eight thousand seven hundred forty-eight
Ordinal: 998748th
Binary: 11110011110101011100
Octal: 3636534
Hexadecimal: 0xF3D5C
Base64: Dz1c
One's complement: 4,293,968,547 (32-bit)
Scientific notation: 9.98748 × 10⁵
As a duration: 998,748 s = 11 days, 13 hours, 25 minutes, 48 seconds

In other bases

ternary (3) 1212202000200

quaternary (4) 3303311130

quinary (5) 223424443

senary (6) 33223500

septenary (7) 11326542

nonary (9) 1782020

undecimal (11) 622413

duodecimal (12) 401b90

tridecimal (13) 28c79a

tetradecimal (14) 1bdd92

pentadecimal (15) 14add3

As an angle

998,748° = 2,774 × 360° + 108°

108° ≈ 1.885 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟηψμηʹ
Chinese: 九十九萬八千七百四十八
Chinese (financial): 玖拾玖萬捌仟柒佰肆拾捌

In other modern scripts

Eastern Arabic ٩٩٨٧٤٨ Devanagari ९९८७४८ Bengali ৯৯৮৭৪৮ Tamil ௯௯௮௭௪௮ Thai ๙๙๘๗๔๘ Tibetan ༩༩༨༧༤༨ Khmer ៩៩៨៧៤៨ Lao ໙໙໘໗໔໘ Burmese ၉၉၈၇၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998748, here are decompositions:

5 + 998743 = 998748
11 + 998737 = 998748
31 + 998717 = 998748
59 + 998689 = 998748
61 + 998687 = 998748
67 + 998681 = 998748
97 + 998651 = 998748
131 + 998617 = 998748

Showing the first eight; more decompositions exist.

Hex color

#0F3D5C

RGB(15, 61, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.92.

Address: 0.15.61.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.61.92

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 998,748 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 US998,748 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998748 first appears in π at position 32,300 of the decimal expansion (the 32,300ordinal-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 998748 on Pi Search ↗