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4,113

4,113 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.).

4,113 (four thousand one hundred thirteen) is an odd 4-digit number. It is a composite number with 6 divisors, and factors as 3² × 457. Written other ways, in hexadecimal, 0x1011.

Cube-Free Deficient Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
9
Digit product
12
Digital root
9
Palindrome
No
Bit width
13 bits
Reversed
3,114
Recamán's sequence
a(28,850) = 4,113
Square (n²)
16,916,769
Cube (n³)
69,578,670,897
Divisor count
6
σ(n) — sum of divisors
5,954
φ(n) — Euler's totient
2,736
Sum of prime factors
463

Primality

Prime factorization: 3 2 × 457

Nearest primes: 4,111 (−2) · 4,127 (+14)

Divisors & multiples

All divisors (6)
1 · 3 · 9 · 457 · 1371 · 4113
Aliquot sum (sum of proper divisors): 1,841
Factor pairs (a × b = 4,113)
1 × 4113
3 × 1371
9 × 457
First multiples
4,113 · 8,226 (double) · 12,339 · 16,452 · 20,565 · 24,678 · 28,791 · 32,904 · 37,017 · 41,130

Sums & aliquot sequence

As a sum of two squares: 12² + 63²
As consecutive integers: 2,056 + 2,057 1,370 + 1,371 + 1,372 683 + 684 + 685 + 686 + 687 + 688 453 + 454 + … + 461
Aliquot sequence: 4,113 1,841 271 1 0 — terminates at zero

Continued fraction of √n

√4,113 = [64; (7, 1, 1, 6, 4, 1, 1, 2, 15, 1, 1, 1, 3, 1, 3, 4, 2, 17, 1, 7, 14, 7, 1, 17, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
four thousand one hundred thirteen
Ordinal
4113th
Binary
1000000010001
Octal
10021
Hexadecimal
0x1011
Base64
EBE=
One's complement
61,422 (16-bit)
Scientific notation
4.113 × 10³
As a duration
4,113 s = 1 hour, 8 minutes, 33 seconds
In other bases
ternary (3) 12122100
quaternary (4) 1000101
quinary (5) 112423
senary (6) 31013
septenary (7) 14664
nonary (9) 5570
undecimal (11) 30aa
duodecimal (12) 2469
tridecimal (13) 1b45
tetradecimal (14) 16db
pentadecimal (15) 1343
Palindromic in base 6

As an angle

4,113° = 11 × 360° + 153°
153° ≈ 2.67 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵δριγʹ
Mayan (base 20)
𝋪·𝋥·𝋭
Chinese
四千一百一十三
Chinese (financial)
肆仟壹佰壹拾參
In other modern scripts
Eastern Arabic ٤١١٣ Devanagari ४११३ Bengali ৪১১৩ Tamil ௪௧௧௩ Thai ๔๑๑๓ Tibetan ༤༡༡༣ Khmer ៤១១៣ Lao ໔໑໑໓ Burmese ၄၁၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 4,113 = 1
e — Euler's number (e)
Digit 4,113 = 1
φ — Golden ratio (φ)
Digit 4,113 = 4
√2 — Pythagoras's (√2)
Digit 4,113 = 2
ln 2 — Natural log of 2
Digit 4,113 = 0
γ — Euler-Mascheroni (γ)
Digit 4,113 = 6

Also seen as

Unicode codepoint
Myanmar Letter Tha
U+1011
Other letter (Lo)

UTF-8 encoding: E1 80 91 (3 bytes).

Hex color
#001011
RGB(0, 16, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.17.

Address
0.0.16.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.17

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

Musical pitch

Heard as a frequency, 4,113 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -30¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +7¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -29¢)
Position in π

The digit sequence 4113 first appears in π at position 5,734 of the decimal expansion (the 5,734ordinal-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°.