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97,712

97,712 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.).

97,712 (ninety-seven thousand seven hundred twelve) is an even 5-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 31 × 197. Its proper divisors sum to 98,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x17DB0.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
26
Digit product
882
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
21,779
Square (n²)
9,547,634,944
Cube (n³)
932,918,505,648,128
Divisor count
20
σ(n) — sum of divisors
196,416
φ(n) — Euler's totient
47,040
Sum of prime factors
236

Primality

Prime factorization: 2 4 × 31 × 197

Nearest primes: 97,711 (−1) · 97,729 (+17)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 31 · 62 · 124 · 197 · 248 · 394 · 496 · 788 · 1576 · 3152 · 6107 · 12214 · 24428 · 48856 (half) · 97712
Aliquot sum (sum of proper divisors): 98,704
Factor pairs (a × b = 97,712)
1 × 97712
2 × 48856
4 × 24428
8 × 12214
16 × 6107
31 × 3152
62 × 1576
124 × 788
197 × 496
248 × 394
First multiples
97,712 · 195,424 (double) · 293,136 · 390,848 · 488,560 · 586,272 · 683,984 · 781,696 · 879,408 · 977,120

Sums & aliquot sequence

As consecutive integers: 3,137 + 3,138 + … + 3,167 3,038 + 3,039 + … + 3,069 398 + 399 + … + 594
Aliquot sequence: 97,712 98,704 99,696 170,128 226,672 227,664 486,576 931,984 932,976 2,162,064 3,607,408 4,646,032 6,067,568 7,014,928 7,015,920 16,982,544 29,157,360 — unresolved within range

Continued fraction of √n

√97,712 = [312; (1, 1, 2, 3, 3, 2, 1, 14, 1, 1, 4, 2, 2, 6, 27, 39, 27, 6, 2, 2, 4, 1, 1, 14, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
ninety-seven thousand seven hundred twelve
Ordinal
97712th
Binary
10111110110110000
Octal
276660
Hexadecimal
0x17DB0
Base64
AX2w
One's complement
4,294,869,583 (32-bit)
Scientific notation
9.7712 × 10⁴
As a duration
97,712 s = 1 day, 3 hours, 8 minutes, 32 seconds
In other bases
ternary (3) 11222000222
quaternary (4) 113312300
quinary (5) 11111322
senary (6) 2032212
septenary (7) 554606
nonary (9) 158028
undecimal (11) 6745a
duodecimal (12) 48668
tridecimal (13) 35624
tetradecimal (14) 27876
pentadecimal (15) 1de42

As an angle

97,712° = 271 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ϟζψιβʹ
Mayan (base 20)
𝋬·𝋤·𝋥·𝋬
Chinese
九萬七千七百一十二
Chinese (financial)
玖萬柒仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ٩٧٧١٢ Devanagari ९७७१२ Bengali ৯৭৭১২ Tamil ௯௭௭௧௨ Thai ๙๗๗๑๒ Tibetan ༩༧༧༡༢ Khmer ៩៧៧១២ Lao ໙໗໗໑໒ Burmese ၉၇၇၁၂

Digit at this position in famous constants

π — Pi (π)
Digit 97,712 = 8
e — Euler's number (e)
Digit 97,712 = 7
φ — Golden ratio (φ)
Digit 97,712 = 6
√2 — Pythagoras's (√2)
Digit 97,712 = 0
ln 2 — Natural log of 2
Digit 97,712 = 1
γ — Euler-Mascheroni (γ)
Digit 97,712 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 97712, here are decompositions:

  • 61 + 97651 = 97712
  • 103 + 97609 = 97712
  • 151 + 97561 = 97712
  • 163 + 97549 = 97712
  • 211 + 97501 = 97712
  • 271 + 97441 = 97712
  • 283 + 97429 = 97712
  • 331 + 97381 = 97712

Showing the first eight; more decompositions exist.

Unicode codepoint
𗶰
Tangut Ideograph-17Db0
U+17DB0
Other letter (Lo)

UTF-8 encoding: F0 97 B6 B0 (4 bytes).

Hex color
#017DB0
RGB(1, 125, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.125.176.

Address
0.1.125.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.125.176

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 97712 first appears in π at position 41,992 of the decimal expansion (the 41,992ordinal-suffix:nd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.