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4,197

4,197 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.).

4,197 (four thousand one hundred ninety-seven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 1,399. Written other ways, in hexadecimal, 0x1065.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
21
Digit product
252
Digital root
3
Palindrome
No
Bit width
13 bits
Reversed
7,914
Recamán's sequence
a(178,889) = 4,197
Square (n²)
17,614,809
Cube (n³)
73,929,353,373
Divisor count
4
σ(n) — sum of divisors
5,600
φ(n) — Euler's totient
2,796
Sum of prime factors
1,402

Primality

Prime factorization: 3 × 1399

Nearest primes: 4,177 (−20) · 4,201 (+4)

Divisors & multiples

All divisors (4)
1 · 3 · 1399 · 4197
Aliquot sum (sum of proper divisors): 1,403
Factor pairs (a × b = 4,197)
1 × 4197
3 × 1399
First multiples
4,197 · 8,394 (double) · 12,591 · 16,788 · 20,985 · 25,182 · 29,379 · 33,576 · 37,773 · 41,970

Sums & aliquot sequence

As consecutive integers: 2,098 + 2,099 1,398 + 1,399 + 1,400 697 + 698 + 699 + 700 + 701 + 702
Aliquot sequence: 4,197 1,403 85 23 1 0 — terminates at zero

Continued fraction of √n

√4,197 = [64; (1, 3, 1, 1, 1, 2, 1, 6, 10, 1, 1, 1, 5, 1, 1, 17, 1, 31, 2, 4, 7, 2, 1, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
four thousand one hundred ninety-seven
Ordinal
4197th
Binary
1000001100101
Octal
10145
Hexadecimal
0x1065
Base64
EGU=
One's complement
61,338 (16-bit)
Scientific notation
4.197 × 10³
As a duration
4,197 s = 1 hour, 9 minutes, 57 seconds
In other bases
ternary (3) 12202110
quaternary (4) 1001211
quinary (5) 113242
senary (6) 31233
septenary (7) 15144
nonary (9) 5673
undecimal (11) 3176
duodecimal (12) 2519
tridecimal (13) 1bab
tetradecimal (14) 175b
pentadecimal (15) 139c

As an angle

4,197° = 11 × 360° + 237°
237° ≈ 4.136 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δρϟζʹ
Mayan (base 20)
𝋪·𝋩·𝋱
Chinese
四千一百九十七
Chinese (financial)
肆仟壹佰玖拾柒
In other modern scripts
Eastern Arabic ٤١٩٧ Devanagari ४१९७ Bengali ৪১৯৭ Tamil ௪௧௯௭ Thai ๔๑๙๗ Tibetan ༤༡༩༧ Khmer ៤១៩៧ Lao ໔໑໙໗ Burmese ၄၁၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 4,197 = 0
e — Euler's number (e)
Digit 4,197 = 9
φ — Golden ratio (φ)
Digit 4,197 = 7
√2 — Pythagoras's (√2)
Digit 4,197 = 0
ln 2 — Natural log of 2
Digit 4,197 = 3
γ — Euler-Mascheroni (γ)
Digit 4,197 = 6

Also seen as

Unicode codepoint
Myanmar Letter Western Pwo Karen Tha
U+1065
Other letter (Lo)

UTF-8 encoding: E1 81 A5 (3 bytes).

Hex color
#001065
RGB(0, 16, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.101.

Address
0.0.16.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.101

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

Musical pitch

Heard as a frequency, 4,197 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +5¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +42¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +6¢)
Position in π

The digit sequence 4197 first appears in π at position 36 of the decimal expansion (the 36ordinal-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°.