Live analysis

997,332

997,332 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.).

997,332 (nine hundred ninety-seven thousand three hundred thirty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 31 × 383. Its proper divisors sum to 1,755,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF37D4.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

997,320 997,321 997,322 997,323 997,324 997,325 997,326 997,327 997,328 997,329 997,330 997,331 997,332 997,333 997,334 997,335 997,336 997,337 997,338 997,339 997,340 997,341 997,342 997,343 997,344

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 10,206
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 233,799
Square (n²): 994,671,118,224
Cube (n³): 992,017,335,680,578,368
Divisor count: 48
σ(n) — sum of divisors: 2,752,512
φ(n) — Euler's totient: 275,040
Sum of prime factors: 428

Primality

Prime factorization: 2 ² × 3 × 7 × 31 × 383

Nearest primes: 997,327 (−5) · 997,333 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 31 · 42 · 62 · 84 · 93 · 124 · 186 · 217 · 372 · 383 · 434 · 651 · 766 · 868 · 1149 · 1302 · 1532 · 2298 · 2604 · 2681 · 4596 · 5362 · 8043 · 10724 · 11873 · 16086 · 23746 · 32172 · 35619 · 47492 · 71238 · 83111 · 142476 · 166222 · 249333 · 332444 · 498666 (half) · 997332

Aliquot sum (sum of proper divisors): 1,755,180

Factor pairs (a × b = 997,332)

1 × 997332

2 × 498666

3 × 332444

4 × 249333

6 × 166222

7 × 142476

12 × 83111

14 × 71238

21 × 47492

28 × 35619

31 × 32172

42 × 23746

62 × 16086

84 × 11873

93 × 10724

124 × 8043

186 × 5362

217 × 4596

372 × 2681

383 × 2604

434 × 2298

651 × 1532

766 × 1302

868 × 1149

First multiples

997,332 · 1,994,664 (double) · 2,991,996 · 3,989,328 · 4,986,660 · 5,983,992 · 6,981,324 · 7,978,656 · 8,975,988 · 9,973,320

Sums & aliquot sequence

As consecutive integers: 332,443 + 332,444 + 332,445 142,473 + 142,474 + … + 142,479 124,663 + 124,664 + … + 124,670 47,482 + 47,483 + … + 47,502

Aliquot sequence: 997,332 → 1,755,180 → 4,469,220 → 11,028,444 → 20,114,724 → 33,524,764 → 41,036,772 → 68,736,668 → 92,779,876 → 93,815,260 → 151,814,180 → 231,723,100 → 348,413,380 → 487,779,068 → 487,779,124 → 548,382,380 → 903,742,420 — unresolved within range

Continued fraction of √n

√997,332 = [998; (1, 1, 1, 70, 1, 1, 1, 1996)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-seven thousand three hundred thirty-two
Ordinal: 997332nd
Binary: 11110011011111010100
Octal: 3633724
Hexadecimal: 0xF37D4
Base64: DzfU
One's complement: 4,293,969,963 (32-bit)
Scientific notation: 9.97332 × 10⁵
As a duration: 997,332 s = 11 days, 13 hours, 2 minutes, 12 seconds

In other bases

ternary (3) 1212200002020

quaternary (4) 3303133110

quinary (5) 223403312

senary (6) 33213140

septenary (7) 11322450

nonary (9) 1780066

undecimal (11) 621346

duodecimal (12) 4011b0

tridecimal (13) 28bc4b

tetradecimal (14) 1bd660

pentadecimal (15) 14a78c

As an angle

997,332° = 2,770 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡϟζτλβʹ
Chinese: 九十九萬七千三百三十二
Chinese (financial): 玖拾玖萬柒仟參佰參拾貳

In other modern scripts

Eastern Arabic ٩٩٧٣٣٢ Devanagari ९९७३३२ Bengali ৯৯৭৩৩২ Tamil ௯௯௭௩௩௨ Thai ๙๙๗๓๓๒ Tibetan ༩༩༧༣༣༢ Khmer ៩៩៧៣៣២ Lao ໙໙໗໓໓໒ Burmese ၉၉၇၃၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997332, here are decompositions:

5 + 997327 = 997332
13 + 997319 = 997332
23 + 997309 = 997332
53 + 997279 = 997332
59 + 997273 = 997332
73 + 997259 = 997332
113 + 997219 = 997332
131 + 997201 = 997332

Showing the first eight; more decompositions exist.

Hex color

#0F37D4

RGB(15, 55, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.55.212.

Address: 0.15.55.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.55.212

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 997,332 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 US997,332 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 997332 first appears in π at position 761,528 of the decimal expansion (the 761,528ordinal-suffix:th 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 997332 on Pi Search ↗