Live analysis

4,160

4,160 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.).

4,160 (four thousand one hundred sixty) is an even 4-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 13. Its proper divisors sum to 6,508, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1040.

Abundant Number Arithmetic Number Evil Number Gapful Number Pernicious Number Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

4,148 4,149 4,150 4,151 4,152 4,153 4,154 4,155 4,156 4,157 4,158 4,159 4,160 4,161 4,162 4,163 4,164 4,165 4,166 4,167 4,168 4,169 4,170 4,171 4,172

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 13 bits
Reversed: 614
Recamán's sequence: a(28,756) = 4,160
Square (n²): 17,305,600
Cube (n³): 71,991,296,000
Divisor count: 28
σ(n) — sum of divisors: 10,668
φ(n) — Euler's totient: 1,536
Sum of prime factors: 30

Primality

Prime factorization: 2 ⁶ × 5 × 13

Nearest primes: 4,159 (−1) · 4,177 (+17)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 32 · 40 · 52 · 64 · 65 · 80 · 104 · 130 · 160 · 208 · 260 · 320 · 416 · 520 · 832 · 1040 · 2080 (half) · 4160

Aliquot sum (sum of proper divisors): 6,508

Factor pairs (a × b = 4,160)

1 × 4160

2 × 2080

4 × 1040

5 × 832

8 × 520

10 × 416

13 × 320

16 × 260

20 × 208

26 × 160

32 × 130

40 × 104

52 × 80

64 × 65

First multiples

4,160 · 8,320 (double) · 12,480 · 16,640 · 20,800 · 24,960 · 29,120 · 33,280 · 37,440 · 41,600

Sums & aliquot sequence

As a sum of two squares: 8² + 64² = 32² + 56²

As a sum of two cubes: 4³ + 16³

As consecutive integers: 830 + 831 + 832 + 833 + 834 314 + 315 + … + 326 32 + 33 + … + 96

Aliquot sequence: 4,160 → 6,508 → 4,888 → 5,192 → 5,608 → 4,922 → 2,854 → 1,430 → 1,594 → 800 → 1,153 → 1 → 0 — terminates at zero

Continued fraction of √n

√4,160 = [64; (2, 128)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: four thousand one hundred sixty
Ordinal: 4160th
Binary: 1000001000000
Octal: 10100
Hexadecimal: 0x1040
Base64: EEA=
One's complement: 61,375 (16-bit)
Scientific notation: 4.16 × 10³
As a duration: 4,160 s = 1 hour, 9 minutes, 20 seconds

In other bases

ternary (3) 12201002

quaternary (4) 1001000

quinary (5) 113120

senary (6) 31132

septenary (7) 15062

nonary (9) 5632

undecimal (11) 3142

duodecimal (12) 24a8

tridecimal (13) 1b80

tetradecimal (14) 1732

pentadecimal (15) 1375

As an angle

4,160° = 11 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵δρξʹ
Mayan (base 20): 𝋪·𝋨·𝋠
Chinese: 四千一百六十
Chinese (financial): 肆仟壹佰陸拾

In other modern scripts

Eastern Arabic ٤١٦٠ Devanagari ४१६० Bengali ৪১৬০ Tamil ௪௧௬௦ Thai ๔๑๖๐ Tibetan ༤༡༦༠ Khmer ៤១៦០ Lao ໔໑໖໐ Burmese ၄၁၆၀

Digit at this position in famous constants

π — Pi (π): Digit 4,160 = 4
e — Euler's number (e): Digit 4,160 = 3
φ — Golden ratio (φ): Digit 4,160 = 7
√2 — Pythagoras's (√2): Digit 4,160 = 9
ln 2 — Natural log of 2: Digit 4,160 = 3
γ — Euler-Mascheroni (γ): Digit 4,160 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4160, here are decompositions:

3 + 4157 = 4160
7 + 4153 = 4160
31 + 4129 = 4160
61 + 4099 = 4160
67 + 4093 = 4160
103 + 4057 = 4160
109 + 4051 = 4160
139 + 4021 = 4160

Showing the first eight; more decompositions exist.

Unicode codepoint

၀

Myanmar Digit Zero

U+1040

Decimal digit (Nd)

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

Lookup U+1040 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001040

RGB(0, 16, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.64.

Address: 0.0.16.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.64

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

Musical pitch

Heard as a frequency, 4,160 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -11¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +27¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -10¢)

Position in π

The digit sequence 4160 first appears in π at position 5,245 of the decimal expansion (the 5,245ordinal-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.

Look up 4160 on Pi Search ↗