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997,368

997,368 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.).

997,368 (nine hundred ninety-seven thousand three hundred sixty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 29 × 1,433. Its proper divisors sum to 1,583,832, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF37F8.

Abundant Number Evil Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
42
Digit product
81,648
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
863,799
Square (n²)
994,742,927,424
Cube (n³)
992,124,764,039,020,032
Divisor count
32
σ(n) — sum of divisors
2,581,200
φ(n) — Euler's totient
320,768
Sum of prime factors
1,471

Primality

Prime factorization: 2 3 × 3 × 29 × 1433

Nearest primes: 997,357 (−11) · 997,369 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 29 · 58 · 87 · 116 · 174 · 232 · 348 · 696 · 1433 · 2866 · 4299 · 5732 · 8598 · 11464 · 17196 · 34392 · 41557 · 83114 · 124671 · 166228 · 249342 · 332456 · 498684 (half) · 997368
Aliquot sum (sum of proper divisors): 1,583,832
Factor pairs (a × b = 997,368)
1 × 997368
2 × 498684
3 × 332456
4 × 249342
6 × 166228
8 × 124671
12 × 83114
24 × 41557
29 × 34392
58 × 17196
87 × 11464
116 × 8598
174 × 5732
232 × 4299
348 × 2866
696 × 1433
First multiples
997,368 · 1,994,736 (double) · 2,992,104 · 3,989,472 · 4,986,840 · 5,984,208 · 6,981,576 · 7,978,944 · 8,976,312 · 9,973,680

Sums & aliquot sequence

As consecutive integers: 332,455 + 332,456 + 332,457 62,328 + 62,329 + … + 62,343 34,378 + 34,379 + … + 34,406 20,755 + 20,756 + … + 20,802
Aliquot sequence: 997,368 1,583,832 2,375,808 4,233,792 6,968,624 7,572,112 7,098,886 3,784,922 1,892,464 2,382,064 2,434,592 2,358,574 1,179,290 1,391,974 701,786 356,518 178,262 — unresolved within range

Continued fraction of √n

√997,368 = [998; (1, 2, 6, 2, 2, 2, 2, 1, 2, 1, 11, 6, 3, 2, 1, 1, 1, 6, 1, 4, 1, 1, 1, 40, …)]

Representations

In words
nine hundred ninety-seven thousand three hundred sixty-eight
Ordinal
997368th
Binary
11110011011111111000
Octal
3633770
Hexadecimal
0xF37F8
Base64
Dzf4
One's complement
4,293,969,927 (32-bit)
Scientific notation
9.97368 × 10⁵
As a duration
997,368 s = 11 days, 13 hours, 2 minutes, 48 seconds
In other bases
ternary (3) 1212200010120
quaternary (4) 3303133320
quinary (5) 223403433
senary (6) 33213240
septenary (7) 11322531
nonary (9) 1780116
undecimal (11) 621379
duodecimal (12) 401220
tridecimal (13) 28bc78
tetradecimal (14) 1bd688
pentadecimal (15) 14a7b3

As an angle

997,368° = 2,770 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟζτξηʹ
Chinese
九十九萬七千三百六十八
Chinese (financial)
玖拾玖萬柒仟參佰陸拾捌
In other modern scripts
Eastern Arabic ٩٩٧٣٦٨ Devanagari ९९७३६८ Bengali ৯৯৭৩৬৮ Tamil ௯௯௭௩௬௮ Thai ๙๙๗๓๖๘ Tibetan ༩༩༧༣༦༨ Khmer ៩៩៧៣៦៨ Lao ໙໙໗໓໖໘ Burmese ၉၉၇၃၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997368, here are decompositions:

  • 11 + 997357 = 997368
  • 41 + 997327 = 997368
  • 59 + 997309 = 997368
  • 61 + 997307 = 997368
  • 89 + 997279 = 997368
  • 101 + 997267 = 997368
  • 109 + 997259 = 997368
  • 149 + 997219 = 997368

Showing the first eight; more decompositions exist.

Hex color
#0F37F8
RGB(15, 55, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.55.248.

Address
0.15.55.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.55.248

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 997,368 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 997368 first appears in π at position 467,536 of the decimal expansion (the 467,536ordinal-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°.