Live analysis

997,672

997,672 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.).

997,672 (nine hundred ninety-seven thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 53 × 181. Its proper divisors sum to 1,066,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3928.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

997,660 997,661 997,662 997,663 997,664 997,665 997,666 997,667 997,668 997,669 997,670 997,671 997,672 997,673 997,674 997,675 997,676 997,677 997,678 997,679 997,680 997,681 997,682 997,683 997,684

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 40
Digit product: 47,628
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 276,799
Square (n²): 995,349,419,584
Cube (n³): 993,032,246,135,208,448
Divisor count: 32
σ(n) — sum of divisors: 2,063,880
φ(n) — Euler's totient: 449,280
Sum of prime factors: 253

Primality

Prime factorization: 2 ³ × 13 × 53 × 181

Nearest primes: 997,663 (−9) · 997,681 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 13 · 26 · 52 · 53 · 104 · 106 · 181 · 212 · 362 · 424 · 689 · 724 · 1378 · 1448 · 2353 · 2756 · 4706 · 5512 · 9412 · 9593 · 18824 · 19186 · 38372 · 76744 · 124709 · 249418 · 498836 (half) · 997672

Aliquot sum (sum of proper divisors): 1,066,208

Factor pairs (a × b = 997,672)

1 × 997672

2 × 498836

4 × 249418

8 × 124709

13 × 76744

26 × 38372

52 × 19186

53 × 18824

104 × 9593

106 × 9412

181 × 5512

212 × 4706

362 × 2756

424 × 2353

689 × 1448

724 × 1378

First multiples

997,672 · 1,995,344 (double) · 2,993,016 · 3,990,688 · 4,988,360 · 5,986,032 · 6,983,704 · 7,981,376 · 8,979,048 · 9,976,720

Sums & aliquot sequence

As a sum of two squares: 254² + 966² = 354² + 934² = 606² + 794² = 686² + 726²

As consecutive integers: 76,738 + 76,739 + … + 76,750 62,347 + 62,348 + … + 62,362 18,798 + 18,799 + … + 18,850 5,422 + 5,423 + … + 5,602

Aliquot sequence: 997,672 → 1,066,208 → 1,410,448 → 1,532,940 → 2,912,340 → 5,242,380 → 12,466,164 → 16,723,276 → 12,542,464 → 16,625,312 → 19,626,400 → 28,288,502 → 18,001,810 → 16,425,170 → 13,140,154 → 6,570,080 → 10,367,344 — unresolved within range

Continued fraction of √n

√997,672 = [998; (1, 5, 13, 1, 4, 12, 1, 15, 1, 1, 2, 2, 2, 1, 11, 5, 2, 4, 2, 1, 54, 1, 4, 40, …)]

Representations

In words: nine hundred ninety-seven thousand six hundred seventy-two
Ordinal: 997672nd
Binary: 11110011100100101000
Octal: 3634450
Hexadecimal: 0xF3928
Base64: Dzko
One's complement: 4,293,969,623 (32-bit)
Scientific notation: 9.97672 × 10⁵
As a duration: 997,672 s = 11 days, 13 hours, 7 minutes, 52 seconds

In other bases

ternary (3) 1212200112211

quaternary (4) 3303210220

quinary (5) 223411142

senary (6) 33214504

septenary (7) 11323444

nonary (9) 1780484

undecimal (11) 621625

duodecimal (12) 401434

tridecimal (13) 28c150

tetradecimal (14) 1bd824

pentadecimal (15) 14a917

As an angle

997,672° = 2,771 × 360° + 112°

112° ≈ 1.955 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡϟζχοβʹ
Chinese: 九十九萬七千六百七十二
Chinese (financial): 玖拾玖萬柒仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ٩٩٧٦٧٢ Devanagari ९९७६७२ Bengali ৯৯৭৬৭২ Tamil ௯௯௭௬௭௨ Thai ๙๙๗๖๗๒ Tibetan ༩༩༧༦༧༢ Khmer ៩៩៧៦៧២ Lao ໙໙໗໖໗໒ Burmese ၉၉၇၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997672, here are decompositions:

23 + 997649 = 997672
83 + 997589 = 997672
89 + 997583 = 997672
131 + 997541 = 997672
233 + 997439 = 997672
239 + 997433 = 997672
281 + 997391 = 997672
293 + 997379 = 997672

Showing the first eight; more decompositions exist.

Hex color

#0F3928

RGB(15, 57, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.57.40.

Address: 0.15.57.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.57.40

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 997,672 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 US997,672 on Google Patents ↗ Look up on USPTO ↗