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997,664

997,664 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.).

997,664 (nine hundred ninety-seven thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 31,177. Written other ways, in hexadecimal, 0xF3920.

Deficient Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
41
Digit product
81,648
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
466,799
Square (n²)
995,333,456,896
Cube (n³)
993,008,357,940,690,944
Divisor count
12
σ(n) — sum of divisors
1,964,214
φ(n) — Euler's totient
498,816
Sum of prime factors
31,187

Primality

Prime factorization: 2 5 × 31177

Nearest primes: 997,663 (−1) · 997,681 (+17)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 31177 · 62354 · 124708 · 249416 · 498832 (half) · 997664
Aliquot sum (sum of proper divisors): 966,550
Factor pairs (a × b = 997,664)
1 × 997664
2 × 498832
4 × 249416
8 × 124708
16 × 62354
32 × 31177
First multiples
997,664 · 1,995,328 (double) · 2,992,992 · 3,990,656 · 4,988,320 · 5,985,984 · 6,983,648 · 7,981,312 · 8,978,976 · 9,976,640

Sums & aliquot sequence

As a sum of two squares: 508² + 860²
As consecutive integers: 15,557 + 15,558 + … + 15,620
Aliquot sequence: 997,664 966,550 970,826 490,138 311,942 180,658 95,102 67,954 35,834 24,646 12,326 6,166 3,086 1,546 776 694 350 — unresolved within range

Continued fraction of √n

√997,664 = [998; (1, 4, 1, 12, 1, 16, 1, 3, 86, 1, 1, 1, 1, 28, 1, 3, 2, 14, 7, 3, 1, 1, 1, 2, …)]

Representations

In words
nine hundred ninety-seven thousand six hundred sixty-four
Ordinal
997664th
Binary
11110011100100100000
Octal
3634440
Hexadecimal
0xF3920
Base64
Dzkg
One's complement
4,293,969,631 (32-bit)
Scientific notation
9.97664 × 10⁵
As a duration
997,664 s = 11 days, 13 hours, 7 minutes, 44 seconds
In other bases
ternary (3) 1212200112112
quaternary (4) 3303210200
quinary (5) 223411124
senary (6) 33214452
septenary (7) 11323433
nonary (9) 1780475
undecimal (11) 621618
duodecimal (12) 401428
tridecimal (13) 28c145
tetradecimal (14) 1bd81a
pentadecimal (15) 14a90e

As an angle

997,664° = 2,771 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟζχξδʹ
Chinese
九十九萬七千六百六十四
Chinese (financial)
玖拾玖萬柒仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ٩٩٧٦٦٤ Devanagari ९९७६६४ Bengali ৯৯৭৬৬৪ Tamil ௯௯௭௬௬௪ Thai ๙๙๗๖๖๔ Tibetan ༩༩༧༦༦༤ Khmer ៩៩៧៦៦៤ Lao ໙໙໗໖໖໔ Burmese ၉၉၇၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997664, here are decompositions:

  • 13 + 997651 = 997664
  • 37 + 997627 = 997664
  • 67 + 997597 = 997664
  • 211 + 997453 = 997664
  • 307 + 997357 = 997664
  • 331 + 997333 = 997664
  • 337 + 997327 = 997664
  • 397 + 997267 = 997664

Showing the first eight; more decompositions exist.

Hex color
#0F3920
RGB(15, 57, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.57.32.

Address
0.15.57.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.57.32

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 997,664 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 997664 first appears in π at position 562,520 of the decimal expansion (the 562,520ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.