Live analysis

8,120

8,120 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.).

8,120 (eight thousand one hundred twenty) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 29. Its proper divisors sum to 13,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FB8.

Abundant Number Arithmetic Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

8,108 8,109 8,110 8,111 8,112 8,113 8,114 8,115 8,116 8,117 8,118 8,119 8,120 8,121 8,122 8,123 8,124 8,125 8,126 8,127 8,128 8,129 8,130 8,131 8,132

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 13 bits
Reversed: 218
Recamán's sequence: a(10,527) = 8,120
Square (n²): 65,934,400
Cube (n³): 535,387,328,000
Divisor count: 32
σ(n) — sum of divisors: 21,600
φ(n) — Euler's totient: 2,688
Sum of prime factors: 47

Primality

Prime factorization: 2 ³ × 5 × 7 × 29

Nearest primes: 8,117 (−3) · 8,123 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 29 · 35 · 40 · 56 · 58 · 70 · 116 · 140 · 145 · 203 · 232 · 280 · 290 · 406 · 580 · 812 · 1015 · 1160 · 1624 · 2030 · 4060 (half) · 8120

Aliquot sum (sum of proper divisors): 13,480

Factor pairs (a × b = 8,120)

1 × 8120

2 × 4060

4 × 2030

5 × 1624

7 × 1160

8 × 1015

10 × 812

14 × 580

20 × 406

28 × 290

29 × 280

35 × 232

40 × 203

56 × 145

58 × 140

70 × 116

First multiples

8,120 · 16,240 (double) · 24,360 · 32,480 · 40,600 · 48,720 · 56,840 · 64,960 · 73,080 · 81,200

Sums & aliquot sequence

As consecutive integers: 1,622 + 1,623 + 1,624 + 1,625 + 1,626 1,157 + 1,158 + … + 1,163 500 + 501 + … + 515 266 + 267 + … + 294

Aliquot sequence: 8,120 → 13,480 → 16,940 → 27,748 → 27,804 → 46,564 → 46,620 → 119,364 → 216,636 → 361,284 → 799,932 → 1,377,348 → 2,493,372 → 4,155,844 → 5,069,372 → 6,166,468 → 7,288,316 — unresolved within range

Continued fraction of √n

√8,120 = [90; (9, 180)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: eight thousand one hundred twenty
Ordinal: 8120th
Binary: 1111110111000
Octal: 17670
Hexadecimal: 0x1FB8
Base64: H7g=
One's complement: 57,415 (16-bit)
Scientific notation: 8.12 × 10³
As a duration: 8,120 s = 2 hours, 15 minutes, 20 seconds

In other bases

ternary (3) 102010202

quaternary (4) 1332320

quinary (5) 224440

senary (6) 101332

septenary (7) 32450

nonary (9) 12122

undecimal (11) 6112

duodecimal (12) 4848

tridecimal (13) 3908

tetradecimal (14) 2d60

pentadecimal (15) 2615

As an angle

8,120° = 22 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵ηρκʹ
Mayan (base 20): 𝋡·𝋠·𝋦·𝋠
Chinese: 八千一百二十
Chinese (financial): 捌仟壹佰貳拾

In other modern scripts

Eastern Arabic ٨١٢٠ Devanagari ८१२० Bengali ৮১২০ Tamil ௮௧௨௦ Thai ๘๑๒๐ Tibetan ༨༡༢༠ Khmer ៨១២០ Lao ໘໑໒໐ Burmese ၈၁၂၀

Digit at this position in famous constants

π — Pi (π): Digit 8,120 = 4
e — Euler's number (e): Digit 8,120 = 2
φ — Golden ratio (φ): Digit 8,120 = 8
√2 — Pythagoras's (√2): Digit 8,120 = 3
ln 2 — Natural log of 2: Digit 8,120 = 9
γ — Euler-Mascheroni (γ): Digit 8,120 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8120, here are decompositions:

3 + 8117 = 8120
19 + 8101 = 8120
31 + 8089 = 8120
61 + 8059 = 8120
67 + 8053 = 8120
103 + 8017 = 8120
109 + 8011 = 8120
127 + 7993 = 8120

Showing the first eight; more decompositions exist.

Unicode codepoint

Ᾰ

Greek Capital Letter Alpha With Vrachy

U+1FB8

Uppercase letter (Lu)

UTF-8 encoding: E1 BE B8 (3 bytes).

Lookup U+1FB8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001FB8

RGB(0, 31, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.184.

Address: 0.0.31.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.31.184

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

Musical pitch

Heard as a frequency, 8,120 Hz is closest to:

Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +47¢ — about midway to C9)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -15¢)
Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +48¢ — about midway to C♯9)

Position in π

The digit sequence 8120 first appears in π at position 19,929 of the decimal expansion (the 19,929ordinal-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 8120 on Pi Search ↗