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4,165

4,165 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.).

4,165 (four thousand one hundred sixty-five) is an odd 4-digit number. It is a composite number with 12 divisors, and factors as 5 × 7² × 17. Written other ways, in hexadecimal, 0x1045.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
120
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
5,614
Recamán's sequence
a(28,746) = 4,165
Square (n²)
17,347,225
Cube (n³)
72,251,192,125
Divisor count
12
σ(n) — sum of divisors
6,156
φ(n) — Euler's totient
2,688
Sum of prime factors
36

Primality

Prime factorization: 5 × 7 2 × 17

Nearest primes: 4,159 (−6) · 4,177 (+12)

Divisors & multiples

All divisors (12)
1 · 5 · 7 · 17 · 35 · 49 · 85 · 119 · 245 · 595 · 833 · 4165
Aliquot sum (sum of proper divisors): 1,991
Factor pairs (a × b = 4,165)
1 × 4165
5 × 833
7 × 595
17 × 245
35 × 119
49 × 85
First multiples
4,165 · 8,330 (double) · 12,495 · 16,660 · 20,825 · 24,990 · 29,155 · 33,320 · 37,485 · 41,650

Sums & aliquot sequence

As a sum of two squares: 14² + 63² = 42² + 49²
As consecutive integers: 2,082 + 2,083 831 + 832 + 833 + 834 + 835 592 + 593 + … + 598 412 + 413 + … + 421
Aliquot sequence: 4,165 1,991 193 1 0 — terminates at zero

Continued fraction of √n

√4,165 = [64; (1, 1, 6, 3, 2, 3, 6, 1, 1, 128)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
four thousand one hundred sixty-five
Ordinal
4165th
Binary
1000001000101
Octal
10105
Hexadecimal
0x1045
Base64
EEU=
One's complement
61,370 (16-bit)
Scientific notation
4.165 × 10³
As a duration
4,165 s = 1 hour, 9 minutes, 25 seconds
In other bases
ternary (3) 12201021
quaternary (4) 1001011
quinary (5) 113130
senary (6) 31141
septenary (7) 15100
nonary (9) 5637
undecimal (11) 3147
duodecimal (12) 24b1
tridecimal (13) 1b85
tetradecimal (14) 1737
pentadecimal (15) 137a

As an angle

4,165° = 11 × 360° + 205°
205° ≈ 3.578 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δρξεʹ
Mayan (base 20)
𝋪·𝋨·𝋥
Chinese
四千一百六十五
Chinese (financial)
肆仟壹佰陸拾伍
In other modern scripts
Eastern Arabic ٤١٦٥ Devanagari ४१६५ Bengali ৪১৬৫ Tamil ௪௧௬௫ Thai ๔๑๖๕ Tibetan ༤༡༦༥ Khmer ៤១៦៥ Lao ໔໑໖໕ Burmese ၄၁၆၅

Digit at this position in famous constants

π — Pi (π)
Digit 4,165 = 5
e — Euler's number (e)
Digit 4,165 = 1
φ — Golden ratio (φ)
Digit 4,165 = 8
√2 — Pythagoras's (√2)
Digit 4,165 = 4
ln 2 — Natural log of 2
Digit 4,165 = 9
γ — Euler-Mascheroni (γ)
Digit 4,165 = 4

Also seen as

Unicode codepoint
Myanmar Digit Five
U+1045
Decimal digit (Nd)

UTF-8 encoding: E1 81 85 (3 bytes).

Hex color
#001045
RGB(0, 16, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.69.

Address
0.0.16.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.69

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

Musical pitch

Heard as a frequency, 4,165 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -9¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +29¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -7¢)
Position in π

The digit sequence 4165 first appears in π at position 3,649 of the decimal expansion (the 3,649ordinal-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