Live analysis

997,764

997,764 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.).

997,764 (nine hundred ninety-seven thousand seven hundred sixty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 17 × 67 × 73. Its proper divisors sum to 1,538,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3984.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

997,752 997,753 997,754 997,755 997,756 997,757 997,758 997,759 997,760 997,761 997,762 997,763 997,764 997,765 997,766 997,767 997,768 997,769 997,770 997,771 997,772 997,773 997,774 997,775 997,776

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 42
Digit product: 95,256
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 467,799
Square (n²): 995,532,999,696
Cube (n³): 993,306,987,908,679,744
Divisor count: 48
σ(n) — sum of divisors: 2,536,128
φ(n) — Euler's totient: 304,128
Sum of prime factors: 164

Primality

Prime factorization: 2 ² × 3 × 17 × 67 × 73

Nearest primes: 997,751 (−13) · 997,769 (+5)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 67 · 68 · 73 · 102 · 134 · 146 · 201 · 204 · 219 · 268 · 292 · 402 · 438 · 804 · 876 · 1139 · 1241 · 2278 · 2482 · 3417 · 3723 · 4556 · 4891 · 4964 · 6834 · 7446 · 9782 · 13668 · 14673 · 14892 · 19564 · 29346 · 58692 · 83147 · 166294 · 249441 · 332588 · 498882 (half) · 997764

Aliquot sum (sum of proper divisors): 1,538,364

Factor pairs (a × b = 997,764)

1 × 997764

2 × 498882

3 × 332588

4 × 249441

6 × 166294

12 × 83147

17 × 58692

34 × 29346

51 × 19564

67 × 14892

68 × 14673

73 × 13668

102 × 9782

134 × 7446

146 × 6834

201 × 4964

204 × 4891

219 × 4556

268 × 3723

292 × 3417

402 × 2482

438 × 2278

804 × 1241

876 × 1139

First multiples

997,764 · 1,995,528 (double) · 2,993,292 · 3,991,056 · 4,988,820 · 5,986,584 · 6,984,348 · 7,982,112 · 8,979,876 · 9,977,640

Sums & aliquot sequence

As consecutive integers: 332,587 + 332,588 + 332,589 124,717 + 124,718 + … + 124,724 58,684 + 58,685 + … + 58,700 41,562 + 41,563 + … + 41,585

Aliquot sequence: 997,764 → 1,538,364 → 2,262,804 → 3,072,204 → 4,826,596 → 4,007,026 → 2,221,478 → 1,752,922 → 1,046,438 → 523,222 → 441,218 → 297,502 → 172,298 → 133,366 → 66,686 → 33,346 → 16,676 — unresolved within range

Continued fraction of √n

√997,764 = [998; (1, 7, 2, 3, 15, 3, 7, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 3, 79, 1, 1, 1, 2, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-seven thousand seven hundred sixty-four
Ordinal: 997764th
Binary: 11110011100110000100
Octal: 3634604
Hexadecimal: 0xF3984
Base64: DzmE
One's complement: 4,293,969,531 (32-bit)
Scientific notation: 9.97764 × 10⁵
As a duration: 997,764 s = 11 days, 13 hours, 9 minutes, 24 seconds

In other bases

ternary (3) 1212200200020

quaternary (4) 3303212010

quinary (5) 223412024

senary (6) 33215140

septenary (7) 11323635

nonary (9) 1780606

undecimal (11) 6216a9

duodecimal (12) 4014b0

tridecimal (13) 28c1c1

tetradecimal (14) 1bd88c

pentadecimal (15) 14a979

As an angle

997,764° = 2,771 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟζψξδʹ
Chinese: 九十九萬七千七百六十四
Chinese (financial): 玖拾玖萬柒仟柒佰陸拾肆

In other modern scripts

Eastern Arabic ٩٩٧٧٦٤ Devanagari ९९७७६४ Bengali ৯৯৭৭৬৪ Tamil ௯௯௭௭௬௪ Thai ๙๙๗๗๖๔ Tibetan ༩༩༧༧༦༤ Khmer ៩៩៧៧៦៤ Lao ໙໙໗໗໖໔ Burmese ၉၉၇၇၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997764, here are decompositions:

13 + 997751 = 997764
23 + 997741 = 997764
37 + 997727 = 997764
71 + 997693 = 997764
83 + 997681 = 997764
101 + 997663 = 997764
113 + 997651 = 997764
127 + 997637 = 997764

Showing the first eight; more decompositions exist.

Hex color

#0F3984

RGB(15, 57, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.57.132.

Address: 0.15.57.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.57.132

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 997,764 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 US997,764 on Google Patents ↗ Look up on USPTO ↗