Live analysis

998,732

998,732 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.).

998,732 (nine hundred ninety-eight thousand seven hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 53 × 673. Its proper divisors sum to 1,039,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3D4C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

998,720 998,721 998,722 998,723 998,724 998,725 998,726 998,727 998,728 998,729 998,730 998,731 998,732 998,733 998,734 998,735 998,736 998,737 998,738 998,739 998,740 998,741 998,742 998,743 998,744

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 38
Digit product: 27,216
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 237,899
Square (n²): 997,465,607,824
Cube (n³): 996,200,821,433,279,168
Divisor count: 24
σ(n) — sum of divisors: 2,038,176
φ(n) — Euler's totient: 419,328
Sum of prime factors: 737

Primality

Prime factorization: 2 ² × 7 × 53 × 673

Nearest primes: 998,717 (−15) · 998,737 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 28 · 53 · 106 · 212 · 371 · 673 · 742 · 1346 · 1484 · 2692 · 4711 · 9422 · 18844 · 35669 · 71338 · 142676 · 249683 · 499366 (half) · 998732

Aliquot sum (sum of proper divisors): 1,039,444

Factor pairs (a × b = 998,732)

1 × 998732

2 × 499366

4 × 249683

7 × 142676

14 × 71338

28 × 35669

53 × 18844

106 × 9422

212 × 4711

371 × 2692

673 × 1484

742 × 1346

First multiples

998,732 · 1,997,464 (double) · 2,996,196 · 3,994,928 · 4,993,660 · 5,992,392 · 6,991,124 · 7,989,856 · 8,988,588 · 9,987,320

Sums & aliquot sequence

As consecutive integers: 142,673 + 142,674 + … + 142,679 124,838 + 124,839 + … + 124,845 18,818 + 18,819 + … + 18,870 17,807 + 17,808 + … + 17,862

Aliquot sequence: 998,732 → 1,039,444 → 1,039,500 → 3,153,780 → 7,783,692 → 14,069,748 → 26,863,116 → 45,653,748 → 76,089,804 → 131,144,244 → 250,368,972 → 417,281,844 → 715,341,900 → 1,832,106,164 → 1,832,106,220 → 2,564,949,044 → 2,566,026,316 — unresolved within range

Continued fraction of √n

√998,732 = [999; (2, 1, 2, 1, 3, 10, 1, 1, 2, 6, 1, 2, 1, 1, 8, 4, 2, 1, 70, 1, 2, 4, 8, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-eight thousand seven hundred thirty-two
Ordinal: 998732nd
Binary: 11110011110101001100
Octal: 3636514
Hexadecimal: 0xF3D4C
Base64: Dz1M
One's complement: 4,293,968,563 (32-bit)
Scientific notation: 9.98732 × 10⁵
As a duration: 998,732 s = 11 days, 13 hours, 25 minutes, 32 seconds

In other bases

ternary (3) 1212202000002

quaternary (4) 3303311030

quinary (5) 223424412

senary (6) 33223432

septenary (7) 11326520

nonary (9) 1782002

undecimal (11) 6223a9

duodecimal (12) 401b78

tridecimal (13) 28c787

tetradecimal (14) 1bdd80

pentadecimal (15) 14adc2

As an angle

998,732° = 2,774 × 360° + 92°

92° ≈ 1.606 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡϟηψλβʹ
Chinese: 九十九萬八千七百三十二
Chinese (financial): 玖拾玖萬捌仟柒佰參拾貳

In other modern scripts

Eastern Arabic ٩٩٨٧٣٢ Devanagari ९९८७३२ Bengali ৯৯৮৭৩২ Tamil ௯௯௮௭௩௨ Thai ๙๙๘๗๓๒ Tibetan ༩༩༨༧༣༢ Khmer ៩៩៨៧៣២ Lao ໙໙໘໗໓໒ Burmese ၉၉၈၇၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998732, here are decompositions:

43 + 998689 = 998732
79 + 998653 = 998732
103 + 998629 = 998732
109 + 998623 = 998732
181 + 998551 = 998732
193 + 998539 = 998732
313 + 998419 = 998732
379 + 998353 = 998732

Showing the first eight; more decompositions exist.

Hex color

#0F3D4C

RGB(15, 61, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.76.

Address: 0.15.61.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.61.76

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 998,732 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 US998,732 on Google Patents ↗ Look up on USPTO ↗