Live analysis

998,742

998,742 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.).

998,742 (nine hundred ninety-eight thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 166,457. Its proper divisors sum to 998,754, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3D56.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Self Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

998,730 998,731 998,732 998,733 998,734 998,735 998,736 998,737 998,738 998,739 998,740 998,741 998,742 998,743 998,744 998,745 998,746 998,747 998,748 998,749 998,750 998,751 998,752 998,753 998,754

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 39
Digit product: 36,288
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 247,899
Square (n²): 997,485,582,564
Cube (n³): 996,230,745,701,134,488
Divisor count: 8
σ(n) — sum of divisors: 1,997,496
φ(n) — Euler's totient: 332,912
Sum of prime factors: 166,462

Primality

Prime factorization: 2 × 3 × 166457

Nearest primes: 998,737 (−5) · 998,743 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 166457 · 332914 · 499371 (half) · 998742

Aliquot sum (sum of proper divisors): 998,754

Factor pairs (a × b = 998,742)

1 × 998742

2 × 499371

3 × 332914

6 × 166457

First multiples

998,742 · 1,997,484 (double) · 2,996,226 · 3,994,968 · 4,993,710 · 5,992,452 · 6,991,194 · 7,989,936 · 8,988,678 · 9,987,420

Sums & aliquot sequence

As consecutive integers: 332,913 + 332,914 + 332,915 249,684 + 249,685 + 249,686 + 249,687 83,223 + 83,224 + … + 83,234

Aliquot sequence: 998,742 → 998,754 → 1,104,126 → 1,142,274 → 1,468,734 → 1,710,786 → 2,828,238 → 3,636,402 → 5,985,102 → 6,009,090 → 8,912,190 → 17,021,634 → 21,885,054 → 22,440,066 → 27,665,022 → 41,883,522 → 41,883,534 — unresolved within range

Continued fraction of √n

√998,742 = [999; (2, 1, 2, 3, 2, 1, 7, 2, 2, 1, 86, 5, 3, 1, 4, 2, 1, 1, 1, 11, 1, 1, 1, 2, …)]

Representations

In words: nine hundred ninety-eight thousand seven hundred forty-two
Ordinal: 998742nd
Binary: 11110011110101010110
Octal: 3636526
Hexadecimal: 0xF3D56
Base64: Dz1W
One's complement: 4,293,968,553 (32-bit)
Scientific notation: 9.98742 × 10⁵
As a duration: 998,742 s = 11 days, 13 hours, 25 minutes, 42 seconds

In other bases

ternary (3) 1212202000110

quaternary (4) 3303311112

quinary (5) 223424432

senary (6) 33223450

septenary (7) 11326533

nonary (9) 1782013

undecimal (11) 622408

duodecimal (12) 401b86

tridecimal (13) 28c794

tetradecimal (14) 1bdd8a

pentadecimal (15) 14adcc

As an angle

998,742° = 2,774 × 360° + 102°

102° ≈ 1.78 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡϟηψμβʹ
Chinese: 九十九萬八千七百四十二
Chinese (financial): 玖拾玖萬捌仟柒佰肆拾貳

In other modern scripts

Eastern Arabic ٩٩٨٧٤٢ Devanagari ९९८७४२ Bengali ৯৯৮৭৪২ Tamil ௯௯௮௭௪௨ Thai ๙๙๘๗๔๒ Tibetan ༩༩༨༧༤༢ Khmer ៩៩៨៧៤២ Lao ໙໙໘໗໔໒ Burmese ၉၉၈၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998742, here are decompositions:

5 + 998737 = 998742
53 + 998689 = 998742
61 + 998681 = 998742
89 + 998653 = 998742
109 + 998633 = 998742
113 + 998629 = 998742
181 + 998561 = 998742
191 + 998551 = 998742

Showing the first eight; more decompositions exist.

Hex color

#0F3D56

RGB(15, 61, 86)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.86.

Address: 0.15.61.86
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.61.86

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 998,742 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 US998,742 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998742 first appears in π at position 950,723 of the decimal expansion (the 950,723ordinal-suffix:rd 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 998742 on Pi Search ↗