Live analysis

998,720

998,720 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.).

998,720 (nine hundred ninety-eight thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 3,121. Its proper divisors sum to 1,380,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3D40.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

998,708 998,709 998,710 998,711 998,712 998,713 998,714 998,715 998,716 998,717 998,718 998,719 998,720 998,721 998,722 998,723 998,724 998,725 998,726 998,727 998,728 998,729 998,730 998,731 998,732

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 35
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 27,899
Square (n²): 997,441,638,400
Cube (n³): 996,164,913,102,848,000
Divisor count: 28
σ(n) — sum of divisors: 2,378,964
φ(n) — Euler's totient: 399,360
Sum of prime factors: 3,138

Primality

Prime factorization: 2 ⁶ × 5 × 3121

Nearest primes: 998,717 (−3) · 998,737 (+17)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 320 · 3121 · 6242 · 12484 · 15605 · 24968 · 31210 · 49936 · 62420 · 99872 · 124840 · 199744 · 249680 · 499360 (half) · 998720

Aliquot sum (sum of proper divisors): 1,380,244

Factor pairs (a × b = 998,720)

1 × 998720

2 × 499360

4 × 249680

5 × 199744

8 × 124840

10 × 99872

16 × 62420

20 × 49936

32 × 31210

40 × 24968

64 × 15605

80 × 12484

160 × 6242

320 × 3121

First multiples

998,720 · 1,997,440 (double) · 2,996,160 · 3,994,880 · 4,993,600 · 5,992,320 · 6,991,040 · 7,989,760 · 8,988,480 · 9,987,200

Sums & aliquot sequence

As a sum of two squares: 304² + 952² = 328² + 944²

As consecutive integers: 199,742 + 199,743 + 199,744 + 199,745 + 199,746 7,739 + 7,740 + … + 7,866 1,241 + 1,242 + … + 1,880

Aliquot sequence: 998,720 → 1,380,244 → 1,113,324 → 1,639,020 → 3,038,100 → 7,169,580 → 18,957,780 → 40,023,660 → 72,872,340 → 133,642,668 → 186,619,204 → 139,964,410 → 111,971,546 → 61,602,118 → 36,236,594 → 18,118,300 → 21,198,628 — unresolved within range

Continued fraction of √n

√998,720 = [999; (2, 1, 3, 1, 1, 7, 4, 24, 1, 2, 1, 7, 16, 1, 2, 499, 2, 1, 16, 7, 1, 2, 1, 24, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-eight thousand seven hundred twenty
Ordinal: 998720th
Binary: 11110011110101000000
Octal: 3636500
Hexadecimal: 0xF3D40
Base64: Dz1A
One's complement: 4,293,968,575 (32-bit)
Scientific notation: 9.9872 × 10⁵
As a duration: 998,720 s = 11 days, 13 hours, 25 minutes, 20 seconds

In other bases

ternary (3) 1212201222122

quaternary (4) 3303311000

quinary (5) 223424340

senary (6) 33223412

septenary (7) 11326502

nonary (9) 1781878

undecimal (11) 622398

duodecimal (12) 401b68

tridecimal (13) 28c778

tetradecimal (14) 1bdd72

pentadecimal (15) 14adb5

As an angle

998,720° = 2,774 × 360° + 80°

80° ≈ 1.396 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ϡϟηψκʹ
Chinese: 九十九萬八千七百二十
Chinese (financial): 玖拾玖萬捌仟柒佰貳拾

In other modern scripts

Eastern Arabic ٩٩٨٧٢٠ Devanagari ९९८७२० Bengali ৯৯৮৭২০ Tamil ௯௯௮௭௨௦ Thai ๙๙๘๗๒๐ Tibetan ༩༩༨༧༢༠ Khmer ៩៩៨៧២០ Lao ໙໙໘໗໒໐ Burmese ၉၉၈၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998720, here are decompositions:

3 + 998717 = 998720
31 + 998689 = 998720
67 + 998653 = 998720
97 + 998623 = 998720
103 + 998617 = 998720
181 + 998539 = 998720
193 + 998527 = 998720
223 + 998497 = 998720

Showing the first eight; more decompositions exist.

Hex color

#0F3D40

RGB(15, 61, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.64.

Address: 0.15.61.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.61.64

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 998,720 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 US998,720 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998720 first appears in π at position 780,362 of the decimal expansion (the 780,362ordinal-suffix:nd 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 998720 on Pi Search ↗