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997,716

997,716 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.).

997,716 (nine hundred ninety-seven thousand seven hundred sixteen) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 29 × 47 × 61. Its proper divisors sum to 1,502,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3954.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
39
Digit product
23,814
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
617,799
Square (n²)
995,437,216,656
Cube (n³)
993,163,638,053,157,696
Divisor count
48
σ(n) — sum of divisors
2,499,840
φ(n) — Euler's totient
309,120
Sum of prime factors
144

Primality

Prime factorization: 2 2 × 3 × 29 × 47 × 61

Nearest primes: 997,699 (−17) · 997,727 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 12 · 29 · 47 · 58 · 61 · 87 · 94 · 116 · 122 · 141 · 174 · 183 · 188 · 244 · 282 · 348 · 366 · 564 · 732 · 1363 · 1769 · 2726 · 2867 · 3538 · 4089 · 5307 · 5452 · 5734 · 7076 · 8178 · 8601 · 10614 · 11468 · 16356 · 17202 · 21228 · 34404 · 83143 · 166286 · 249429 · 332572 · 498858 (half) · 997716
Aliquot sum (sum of proper divisors): 1,502,124
Factor pairs (a × b = 997,716)
1 × 997716
2 × 498858
3 × 332572
4 × 249429
6 × 166286
12 × 83143
29 × 34404
47 × 21228
58 × 17202
61 × 16356
87 × 11468
94 × 10614
116 × 8601
122 × 8178
141 × 7076
174 × 5734
183 × 5452
188 × 5307
244 × 4089
282 × 3538
348 × 2867
366 × 2726
564 × 1769
732 × 1363
First multiples
997,716 · 1,995,432 (double) · 2,993,148 · 3,990,864 · 4,988,580 · 5,986,296 · 6,984,012 · 7,981,728 · 8,979,444 · 9,977,160

Sums & aliquot sequence

As consecutive integers: 332,571 + 332,572 + 332,573 124,711 + 124,712 + … + 124,718 41,560 + 41,561 + … + 41,583 34,390 + 34,391 + … + 34,418
Aliquot sequence: 997,716 1,502,124 2,272,836 3,174,844 2,381,140 2,619,296 2,537,506 1,268,756 951,574 585,626 364,774 182,390 192,586 96,296 84,274 46,586 23,296 — unresolved within range

Continued fraction of √n

√997,716 = [998; (1, 6, 99, 1, 2, 1, 8, 79, 1, 3, 1, 6, 4, 1, 3, 5, 3, 1, 2, 4, 1, 1, 1, 2, …)]

Representations

In words
nine hundred ninety-seven thousand seven hundred sixteen
Ordinal
997716th
Binary
11110011100101010100
Octal
3634524
Hexadecimal
0xF3954
Base64
DzlU
One's complement
4,293,969,579 (32-bit)
Scientific notation
9.97716 × 10⁵
As a duration
997,716 s = 11 days, 13 hours, 8 minutes, 36 seconds
In other bases
ternary (3) 1212200121110
quaternary (4) 3303211110
quinary (5) 223411331
senary (6) 33215020
septenary (7) 11323536
nonary (9) 1780543
undecimal (11) 621665
duodecimal (12) 401470
tridecimal (13) 28c185
tetradecimal (14) 1bd856
pentadecimal (15) 14a946

As an angle

997,716° = 2,771 × 360° + 156°
156° ≈ 2.723 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟζψιϛʹ
Chinese
九十九萬七千七百一十六
Chinese (financial)
玖拾玖萬柒仟柒佰壹拾陸
In other modern scripts
Eastern Arabic ٩٩٧٧١٦ Devanagari ९९७७१६ Bengali ৯৯৭৭১৬ Tamil ௯௯௭௭௧௬ Thai ๙๙๗๗๑๖ Tibetan ༩༩༧༧༡༦ Khmer ៩៩៧៧១៦ Lao ໙໙໗໗໑໖ Burmese ၉၉၇၇၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997716, here are decompositions:

  • 17 + 997699 = 997716
  • 23 + 997693 = 997716
  • 53 + 997663 = 997716
  • 67 + 997649 = 997716
  • 79 + 997637 = 997716
  • 89 + 997627 = 997716
  • 107 + 997609 = 997716
  • 127 + 997589 = 997716

Showing the first eight; more decompositions exist.

Hex color
#0F3954
RGB(15, 57, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.57.84.

Address
0.15.57.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.57.84

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 997,716 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 997716 first appears in π at position 616,165 of the decimal expansion (the 616,165ordinal-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°.