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4,097

4,097 is a composite number, odd.

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.).

4,097 (four thousand ninety-seven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 17 × 241. Written other ways, in hexadecimal, 0x1001.

Arithmetic Number Binary Palindrome Cube-Free Deficient Number Evil Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
7,904
Recamán's sequence
a(14,197) = 4,097
Square (n²)
16,785,409
Cube (n³)
68,769,820,673
Divisor count
4
σ(n) — sum of divisors
4,356
φ(n) — Euler's totient
3,840
Sum of prime factors
258

Primality

Prime factorization: 17 × 241

Nearest primes: 4,093 (−4) · 4,099 (+2)

Divisors & multiples

All divisors (4)
1 · 17 · 241 · 4097
Aliquot sum (sum of proper divisors): 259
Factor pairs (a × b = 4,097)
1 × 4097
17 × 241
First multiples
4,097 · 8,194 (double) · 12,291 · 16,388 · 20,485 · 24,582 · 28,679 · 32,776 · 36,873 · 40,970

Sums & aliquot sequence

As a sum of two squares: 1² + 64² = 31² + 56²
As a sum of two cubes: 1³ + 16³
As consecutive integers: 2,048 + 2,049 233 + 234 + … + 249 104 + 105 + … + 137
Aliquot sequence: 4,097 259 45 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√4,097 = [64; (128)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words
four thousand ninety-seven
Ordinal
4097th
Binary
1000000000001
Octal
10001
Hexadecimal
0x1001
Base64
EAE=
One's complement
61,438 (16-bit)
Scientific notation
4.097 × 10³
As a duration
4,097 s = 1 hour, 8 minutes, 17 seconds
In other bases
ternary (3) 12121202
quaternary (4) 1000001
quinary (5) 112342
senary (6) 30545
septenary (7) 14642
nonary (9) 5552
undecimal (11) 3095
duodecimal (12) 2455
tridecimal (13) 1b32
tetradecimal (14) 16c9
pentadecimal (15) 1332
Palindromic in base 2, base 4, base 8, base 16

As an angle

4,097° = 11 × 360° + 137°
137° ≈ 2.391 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δϟζʹ
Mayan (base 20)
𝋪·𝋤·𝋱
Chinese
四千零九十七
Chinese (financial)
肆仟零玖拾柒
In other modern scripts
Eastern Arabic ٤٠٩٧ Devanagari ४०९७ Bengali ৪০৯৭ Tamil ௪௦௯௭ Thai ๔๐๙๗ Tibetan ༤༠༩༧ Khmer ៤០៩៧ Lao ໔໐໙໗ Burmese ၄၀၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 4,097 = 9
e — Euler's number (e)
Digit 4,097 = 5
φ — Golden ratio (φ)
Digit 4,097 = 8
√2 — Pythagoras's (√2)
Digit 4,097 = 4
ln 2 — Natural log of 2
Digit 4,097 = 7
γ — Euler-Mascheroni (γ)
Digit 4,097 = 4

Also seen as

Unicode codepoint
Myanmar Letter Kha
U+1001
Other letter (Lo)

UTF-8 encoding: E1 80 81 (3 bytes).

Hex color
#001001
RGB(0, 16, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.1.

Address
0.0.16.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.1

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

Musical pitch

Heard as a frequency, 4,097 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -37¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, exact)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -36¢)
Position in π

The digit sequence 4097 first appears in π at position 12,568 of the decimal expansion (the 12,568ordinal-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

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