Live analysis

6,120

6,120 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.).

6,120 (six thousand one hundred twenty) is an even 4-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 5 × 17. Its proper divisors sum to 14,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x17E8.

Abundant Number Evil Number Gapful Number Harshad / Niven Highly Abundant Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

6,108 6,109 6,110 6,111 6,112 6,113 6,114 6,115 6,116 6,117 6,118 6,119 6,120 6,121 6,122 6,123 6,124 6,125 6,126 6,127 6,128 6,129 6,130 6,131 6,132

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 13 bits
Reversed: 216
Recamán's sequence: a(12,523) = 6,120
Square (n²): 37,454,400
Cube (n³): 229,220,928,000
Divisor count: 48
σ(n) — sum of divisors: 21,060
φ(n) — Euler's totient: 1,536
Sum of prime factors: 34

Primality

Prime factorization: 2 ³ × 3 ² × 5 × 17

Nearest primes: 6,113 (−7) · 6,121 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 17 · 18 · 20 · 24 · 30 · 34 · 36 · 40 · 45 · 51 · 60 · 68 · 72 · 85 · 90 · 102 · 120 · 136 · 153 · 170 · 180 · 204 · 255 · 306 · 340 · 360 · 408 · 510 · 612 · 680 · 765 · 1020 · 1224 · 1530 · 2040 · 3060 (half) · 6120

Aliquot sum (sum of proper divisors): 14,940

Factor pairs (a × b = 6,120)

1 × 6120

2 × 3060

3 × 2040

4 × 1530

5 × 1224

6 × 1020

8 × 765

9 × 680

10 × 612

12 × 510

15 × 408

17 × 360

18 × 340

20 × 306

24 × 255

30 × 204

34 × 180

36 × 170

40 × 153

45 × 136

51 × 120

60 × 102

68 × 90

72 × 85

First multiples

6,120 · 12,240 (double) · 18,360 · 24,480 · 30,600 · 36,720 · 42,840 · 48,960 · 55,080 · 61,200

Sums & aliquot sequence

As a sum of two squares: 6² + 78² = 42² + 66²

As consecutive integers: 2,039 + 2,040 + 2,041 1,222 + 1,223 + 1,224 + 1,225 + 1,226 676 + 677 + … + 684 401 + 402 + … + 415

Aliquot sequence: 6,120 → 14,940 → 30,924 → 47,336 → 43,804 → 34,820 → 38,344 → 33,566 → 20,698 → 10,982 → 7,438 → 3,722 → 1,864 → 1,646 → 826 → 614 → 310 — unresolved within range

Continued fraction of √n

√6,120 = [78; (4, 2, 1, 16, 1, 2, 4, 156)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: six thousand one hundred twenty
Ordinal: 6120th
Binary: 1011111101000
Octal: 13750
Hexadecimal: 0x17E8
Base64: F+g=
One's complement: 59,415 (16-bit)
Scientific notation: 6.12 × 10³
As a duration: 6,120 s = 1 hour, 42 minutes

In other bases

ternary (3) 22101200

quaternary (4) 1133220

quinary (5) 143440

senary (6) 44200

septenary (7) 23562

nonary (9) 8350

undecimal (11) 4664

duodecimal (12) 3660

tridecimal (13) 2a2a

tetradecimal (14) 2332

pentadecimal (15) 1c30

Palindromic in base 11, base 14

As an angle

6,120° = 17 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵ϛρκʹ
Mayan (base 20): 𝋯·𝋦·𝋠
Chinese: 六千一百二十
Chinese (financial): 陸仟壹佰貳拾

In other modern scripts

Eastern Arabic ٦١٢٠ Devanagari ६१२० Bengali ৬১২০ Tamil ௬௧௨௦ Thai ๖๑๒๐ Tibetan ༦༡༢༠ Khmer ៦១២០ Lao ໖໑໒໐ Burmese ၆၁၂၀

Digit at this position in famous constants

π — Pi (π): Digit 6,120 = 3
e — Euler's number (e): Digit 6,120 = 3
φ — Golden ratio (φ): Digit 6,120 = 0
√2 — Pythagoras's (√2): Digit 6,120 = 1
ln 2 — Natural log of 2: Digit 6,120 = 3
γ — Euler-Mascheroni (γ): Digit 6,120 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6120, here are decompositions:

7 + 6113 = 6120
19 + 6101 = 6120
29 + 6091 = 6120
31 + 6089 = 6120
41 + 6079 = 6120
47 + 6073 = 6120
53 + 6067 = 6120
67 + 6053 = 6120

Showing the first eight; more decompositions exist.

Unicode codepoint

៨

Khmer Digit Eight

U+17E8

Decimal digit (Nd)

UTF-8 encoding: E1 9F A8 (3 bytes).

Lookup U+17E8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0017E8

RGB(0, 23, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.232.

Address: 0.0.23.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.23.232

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

Musical pitch

Heard as a frequency, 6,120 Hz is closest to:

Concert pitch (A4 = 440 Hz): G8 (6271.9 Hz, -42¢)
Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -5¢)
Baroque pitch (A4 = 415 Hz): G♯8 (6267.3 Hz, -41¢)

Position in π

The digit sequence 6120 first appears in π at position 7,509 of the decimal expansion (the 7,509ordinal-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 6120 on Pi Search ↗