Live analysis

4,120

4,120 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.).

4,120 (four thousand one hundred twenty) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 103. Its proper divisors sum to 5,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1018.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

4,108 4,109 4,110 4,111 4,112 4,113 4,114 4,115 4,116 4,117 4,118 4,119 4,120 4,121 4,122 4,123 4,124 4,125 4,126 4,127 4,128 4,129 4,130 4,131 4,132

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 13 bits
Reversed: 214
Recamán's sequence: a(28,836) = 4,120
Square (n²): 16,974,400
Cube (n³): 69,934,528,000
Divisor count: 16
σ(n) — sum of divisors: 9,360
φ(n) — Euler's totient: 1,632
Sum of prime factors: 114

Primality

Prime factorization: 2 ³ × 5 × 103

Nearest primes: 4,111 (−9) · 4,127 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 103 · 206 · 412 · 515 · 824 · 1030 · 2060 (half) · 4120

Aliquot sum (sum of proper divisors): 5,240

Factor pairs (a × b = 4,120)

1 × 4120

2 × 2060

4 × 1030

5 × 824

8 × 515

10 × 412

20 × 206

40 × 103

First multiples

4,120 · 8,240 (double) · 12,360 · 16,480 · 20,600 · 24,720 · 28,840 · 32,960 · 37,080 · 41,200

Sums & aliquot sequence

As consecutive integers: 822 + 823 + 824 + 825 + 826 250 + 251 + … + 265 12 + 13 + … + 91

Aliquot sequence: 4,120 → 5,240 → 6,640 → 8,984 → 7,876 → 7,244 → 5,440 → 8,276 → 6,214 → 3,866 → 1,936 → 2,187 → 1,093 → 1 → 0 — terminates at zero

Continued fraction of √n

√4,120 = [64; (5, 2, 1, 13, 1, 1, 2, 1, 3, 2, 2, 1, 5, 1, 2, 2, 3, 1, 2, 1, 1, 13, 1, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: four thousand one hundred twenty
Ordinal: 4120th
Binary: 1000000011000
Octal: 10030
Hexadecimal: 0x1018
Base64: EBg=
One's complement: 61,415 (16-bit)
Scientific notation: 4.12 × 10³
As a duration: 4,120 s = 1 hour, 8 minutes, 40 seconds

In other bases

ternary (3) 12122121

quaternary (4) 1000120

quinary (5) 112440

senary (6) 31024

septenary (7) 15004

nonary (9) 5577

undecimal (11) 3106

duodecimal (12) 2474

tridecimal (13) 1b4c

tetradecimal (14) 1704

pentadecimal (15) 134a

Palindromic in base 3

As an angle

4,120° = 11 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵δρκʹ
Mayan (base 20): 𝋪·𝋦·𝋠
Chinese: 四千一百二十
Chinese (financial): 肆仟壹佰貳拾

In other modern scripts

Eastern Arabic ٤١٢٠ Devanagari ४१२० Bengali ৪১২০ Tamil ௪௧௨௦ Thai ๔๑๒๐ Tibetan ༤༡༢༠ Khmer ៤១២០ Lao ໔໑໒໐ Burmese ၄၁၂၀

Digit at this position in famous constants

π — Pi (π): Digit 4,120 = 6
e — Euler's number (e): Digit 4,120 = 2
φ — Golden ratio (φ): Digit 4,120 = 5
√2 — Pythagoras's (√2): Digit 4,120 = 6
ln 2 — Natural log of 2: Digit 4,120 = 6
γ — Euler-Mascheroni (γ): Digit 4,120 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4120, here are decompositions:

29 + 4091 = 4120
41 + 4079 = 4120
47 + 4073 = 4120
71 + 4049 = 4120
101 + 4019 = 4120
107 + 4013 = 4120
113 + 4007 = 4120
131 + 3989 = 4120

Showing the first eight; more decompositions exist.

Unicode codepoint

ဘ

Myanmar Letter Bha

U+1018

Other letter (Lo)

UTF-8 encoding: E1 80 98 (3 bytes).

Lookup U+1018 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001018

RGB(0, 16, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.24.

Address: 0.0.16.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.24

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

Musical pitch

Heard as a frequency, 4,120 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -28¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +10¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -26¢)

Position in π

The digit sequence 4120 first appears in π at position 8,621 of the decimal expansion (the 8,621ordinal-suffix:st 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 4120 on Pi Search ↗