Live analysis

997,440

997,440 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.).

997,440 (nine hundred ninety-seven thousand four hundred forty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 1,039. Its proper divisors sum to 2,172,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3840.

Abundant Number Evil Number Practical Number Semiperfect Number Smith Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

997,428 997,429 997,430 997,431 997,432 997,433 997,434 997,435 997,436 997,437 997,438 997,439 997,440 997,441 997,442 997,443 997,444 997,445 997,446 997,447 997,448 997,449 997,450 997,451 997,452

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 44,799
Square (n²): 994,886,553,600
Cube (n³): 992,339,644,022,784,000
Divisor count: 56
σ(n) — sum of divisors: 3,169,920
φ(n) — Euler's totient: 265,728
Sum of prime factors: 1,059

Primality

Prime factorization: 2 ⁶ × 3 × 5 × 1039

Nearest primes: 997,439 (−1) · 997,453 (+13)

Divisors & multiples

All divisors (56)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 160 · 192 · 240 · 320 · 480 · 960 · 1039 · 2078 · 3117 · 4156 · 5195 · 6234 · 8312 · 10390 · 12468 · 15585 · 16624 · 20780 · 24936 · 31170 · 33248 · 41560 · 49872 · 62340 · 66496 · 83120 · 99744 · 124680 · 166240 · 199488 · 249360 · 332480 · 498720 (half) · 997440

Aliquot sum (sum of proper divisors): 2,172,480

Factor pairs (a × b = 997,440)

1 × 997440

2 × 498720

3 × 332480

4 × 249360

5 × 199488

6 × 166240

8 × 124680

10 × 99744

12 × 83120

15 × 66496

16 × 62340

20 × 49872

24 × 41560

30 × 33248

32 × 31170

40 × 24936

48 × 20780

60 × 16624

64 × 15585

80 × 12468

96 × 10390

120 × 8312

160 × 6234

192 × 5195

240 × 4156

320 × 3117

480 × 2078

960 × 1039

First multiples

997,440 · 1,994,880 (double) · 2,992,320 · 3,989,760 · 4,987,200 · 5,984,640 · 6,982,080 · 7,979,520 · 8,976,960 · 9,974,400

Sums & aliquot sequence

As consecutive integers: 332,479 + 332,480 + 332,481 199,486 + 199,487 + 199,488 + 199,489 + 199,490 66,489 + 66,490 + … + 66,503 7,729 + 7,730 + … + 7,856

Aliquot sequence: 997,440 → 2,172,480 → 5,045,184 → 10,210,056 → 15,315,144 → 26,295,096 → 39,967,944 → 65,212,056 → 158,866,344 → 370,709,976 → 775,990,824 → 1,441,126,296 → 2,562,002,904 → 3,850,029,096 → 6,106,944,504 → 9,448,483,416 → 14,636,315,784 — keeps growing

Continued fraction of √n

√997,440 = [998; (1, 2, 1, 1, 3, 1, 1, 2, 27, 1, 2, 1, 7, 1, 1, 1, 1, 3, 1, 1, 10, 1, 3, 1, …)]

Representations

In words: nine hundred ninety-seven thousand four hundred forty
Ordinal: 997440th
Binary: 11110011100001000000
Octal: 3634100
Hexadecimal: 0xF3840
Base64: DzhA
One's complement: 4,293,969,855 (32-bit)
Scientific notation: 9.9744 × 10⁵
As a duration: 997,440 s = 11 days, 13 hours, 4 minutes

In other bases

ternary (3) 1212200020020

quaternary (4) 3303201000

quinary (5) 223404230

senary (6) 33213440

septenary (7) 11322663

nonary (9) 1780206

undecimal (11) 621434

duodecimal (12) 401280

tridecimal (13) 28c002

tetradecimal (14) 1bd6da

pentadecimal (15) 14a810

As an angle

997,440° = 2,770 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϡϟζυμʹ
Chinese: 九十九萬七千四百四十
Chinese (financial): 玖拾玖萬柒仟肆佰肆拾

In other modern scripts

Eastern Arabic ٩٩٧٤٤٠ Devanagari ९९७४४० Bengali ৯৯৭৪৪০ Tamil ௯௯௭௪௪௦ Thai ๙๙๗๔๔๐ Tibetan ༩༩༧༤༤༠ Khmer ៩៩៧៤៤០ Lao ໙໙໗໔໔໐ Burmese ၉၉၇၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997440, here are decompositions:

7 + 997433 = 997440
13 + 997427 = 997440
61 + 997379 = 997440
71 + 997369 = 997440
83 + 997357 = 997440
97 + 997343 = 997440
107 + 997333 = 997440
113 + 997327 = 997440

Showing the first eight; more decompositions exist.

Hex color

#0F3840

RGB(15, 56, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.56.64.

Address: 0.15.56.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.56.64

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 997,440 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 US997,440 on Google Patents ↗ Look up on USPTO ↗