Live analysis

5,016

5,016 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.).

5,016 (five thousand sixteen) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 11 × 19. Its proper divisors sum to 9,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1398.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

5,004 5,005 5,006 5,007 5,008 5,009 5,010 5,011 5,012 5,013 5,014 5,015 5,016 5,017 5,018 5,019 5,020 5,021 5,022 5,023 5,024 5,025 5,026 5,027 5,028

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 13 bits
Reversed: 6,105
Recamán's sequence: a(2,084) = 5,016
Square (n²): 25,160,256
Cube (n³): 126,203,844,096
Divisor count: 32
σ(n) — sum of divisors: 14,400
φ(n) — Euler's totient: 1,440
Sum of prime factors: 39

Primality

Prime factorization: 2 ³ × 3 × 11 × 19

Nearest primes: 5,011 (−5) · 5,021 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 19 · 22 · 24 · 33 · 38 · 44 · 57 · 66 · 76 · 88 · 114 · 132 · 152 · 209 · 228 · 264 · 418 · 456 · 627 · 836 · 1254 · 1672 · 2508 (half) · 5016

Aliquot sum (sum of proper divisors): 9,384

Factor pairs (a × b = 5,016)

1 × 5016

2 × 2508

3 × 1672

4 × 1254

6 × 836

8 × 627

11 × 456

12 × 418

19 × 264

22 × 228

24 × 209

33 × 152

38 × 132

44 × 114

57 × 88

66 × 76

First multiples

5,016 · 10,032 (double) · 15,048 · 20,064 · 25,080 · 30,096 · 35,112 · 40,128 · 45,144 · 50,160

Sums & aliquot sequence

As consecutive integers: 1,671 + 1,672 + 1,673 451 + 452 + … + 461 306 + 307 + … + 321 255 + 256 + … + 273

Aliquot sequence: 5,016 → 9,384 → 16,536 → 28,824 → 43,296 → 83,712 → 141,128 → 161,272 → 157,328 → 147,526 → 86,834 → 55,294 → 27,650 → 31,870 → 25,514 → 12,760 → 19,640 — unresolved within range

Continued fraction of √n

√5,016 = [70; (1, 4, 1, 2, 17, 2, 1, 4, 1, 140)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: five thousand sixteen
Ordinal: 5016th
Binary: 1001110011000
Octal: 11630
Hexadecimal: 0x1398
Base64: E5g=
One's complement: 60,519 (16-bit)
Scientific notation: 5.016 × 10³
As a duration: 5,016 s = 1 hour, 23 minutes, 36 seconds

In other bases

ternary (3) 20212210

quaternary (4) 1032120

quinary (5) 130031

senary (6) 35120

septenary (7) 20424

nonary (9) 6783

undecimal (11) 3850

duodecimal (12) 2aa0

tridecimal (13) 238b

tetradecimal (14) 1b84

pentadecimal (15) 1746

Palindromic in base 5

As an angle

5,016° = 13 × 360° + 336°

336° ≈ 5.864 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ειϛʹ
Mayan (base 20): 𝋬·𝋪·𝋰
Chinese: 五千零一十六
Chinese (financial): 伍仟零壹拾陸

In other modern scripts

Eastern Arabic ٥٠١٦ Devanagari ५०१६ Bengali ৫০১৬ Tamil ௫௦௧௬ Thai ๕๐๑๖ Tibetan ༥༠༡༦ Khmer ៥០១៦ Lao ໕໐໑໖ Burmese ၅၀၁၆

Digit at this position in famous constants

π — Pi (π): Digit 5,016 = 5
e — Euler's number (e): Digit 5,016 = 2
φ — Golden ratio (φ): Digit 5,016 = 8
√2 — Pythagoras's (√2): Digit 5,016 = 3
ln 2 — Natural log of 2: Digit 5,016 = 7
γ — Euler-Mascheroni (γ): Digit 5,016 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5016, here are decompositions:

5 + 5011 = 5016
7 + 5009 = 5016
13 + 5003 = 5016
17 + 4999 = 5016
23 + 4993 = 5016
29 + 4987 = 5016
43 + 4973 = 5016
47 + 4969 = 5016

Showing the first eight; more decompositions exist.

Unicode codepoint

᎘

Ethiopic Tonal Mark Deret-Hidet

U+1398

Other symbol (So)

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

Lookup U+1398 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001398

RGB(0, 19, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.152.

Address: 0.0.19.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.19.152

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

Musical pitch

Heard as a frequency, 5,016 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +13¢)
Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -49¢ — about midway to D♯8)
Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +14¢)

Position in π

The digit sequence 5016 first appears in π at position 19,759 of the decimal expansion (the 19,759ordinal-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 5016 on Pi Search ↗