Live analysis

997,362

997,362 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.).

997,362 (nine hundred ninety-seven thousand three hundred sixty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 67 × 827. Its proper divisors sum to 1,198,494, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF37F2.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

997,350 997,351 997,352 997,353 997,354 997,355 997,356 997,357 997,358 997,359 997,360 997,361 997,362 997,363 997,364 997,365 997,366 997,367 997,368 997,369 997,370 997,371 997,372 997,373 997,374

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 36
Digit product: 20,412
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 263,799
Square (n²): 994,730,959,044
Cube (n³): 992,106,858,774,041,928
Divisor count: 24
σ(n) — sum of divisors: 2,195,856
φ(n) — Euler's totient: 327,096
Sum of prime factors: 902

Primality

Prime factorization: 2 × 3 ² × 67 × 827

Nearest primes: 997,357 (−5) · 997,369 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 67 · 134 · 201 · 402 · 603 · 827 · 1206 · 1654 · 2481 · 4962 · 7443 · 14886 · 55409 · 110818 · 166227 · 332454 · 498681 (half) · 997362

Aliquot sum (sum of proper divisors): 1,198,494

Factor pairs (a × b = 997,362)

1 × 997362

2 × 498681

3 × 332454

6 × 166227

9 × 110818

18 × 55409

67 × 14886

134 × 7443

201 × 4962

402 × 2481

603 × 1654

827 × 1206

First multiples

997,362 · 1,994,724 (double) · 2,992,086 · 3,989,448 · 4,986,810 · 5,984,172 · 6,981,534 · 7,978,896 · 8,976,258 · 9,973,620

Sums & aliquot sequence

As consecutive integers: 332,453 + 332,454 + 332,455 249,339 + 249,340 + 249,341 + 249,342 110,814 + 110,815 + … + 110,822 83,108 + 83,109 + … + 83,119

Aliquot sequence: 997,362 → 1,198,494 → 1,634,778 → 1,907,280 → 4,669,680 → 9,807,072 → 19,150,752 → 31,120,224 → 51,072,096 → 82,992,408 → 131,227,752 → 205,710,648 → 403,163,352 → 723,312,648 → 1,328,062,392 → 2,398,060,008 → 4,197,969,432 — unresolved within range

Continued fraction of √n

√997,362 = [998; (1, 2, 7, 1, 11, 1, 1, 9, 7, 1, 3, 7, 31, 1, 1, 3, 3, 1, 2, 1, 3, 10, 12, 3, …)]

Representations

In words: nine hundred ninety-seven thousand three hundred sixty-two
Ordinal: 997362nd
Binary: 11110011011111110010
Octal: 3633762
Hexadecimal: 0xF37F2
Base64: Dzfy
One's complement: 4,293,969,933 (32-bit)
Scientific notation: 9.97362 × 10⁵
As a duration: 997,362 s = 11 days, 13 hours, 2 minutes, 42 seconds

In other bases

ternary (3) 1212200010100

quaternary (4) 3303133302

quinary (5) 223403422

senary (6) 33213230

septenary (7) 11322522

nonary (9) 1780110

undecimal (11) 621373

duodecimal (12) 401216

tridecimal (13) 28bc72

tetradecimal (14) 1bd682

pentadecimal (15) 14a7ac

As an angle

997,362° = 2,770 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡϟζτξβʹ
Chinese: 九十九萬七千三百六十二
Chinese (financial): 玖拾玖萬柒仟參佰陸拾貳

In other modern scripts

Eastern Arabic ٩٩٧٣٦٢ Devanagari ९९७३६२ Bengali ৯৯৭৩৬২ Tamil ௯௯௭௩௬௨ Thai ๙๙๗๓๖๒ Tibetan ༩༩༧༣༦༢ Khmer ៩៩៧៣៦២ Lao ໙໙໗໓໖໒ Burmese ၉၉၇၃၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997362, here are decompositions:

5 + 997357 = 997362
19 + 997343 = 997362
29 + 997333 = 997362
43 + 997319 = 997362
53 + 997309 = 997362
83 + 997279 = 997362
89 + 997273 = 997362
103 + 997259 = 997362

Showing the first eight; more decompositions exist.

Hex color

#0F37F2

RGB(15, 55, 242)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.55.242.

Address: 0.15.55.242
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.55.242

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 997,362 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 US997,362 on Google Patents ↗ Look up on USPTO ↗