Live analysis

10,116

10,116 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.).

10,116 (ten thousand one hundred sixteen) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 281. Its proper divisors sum to 15,546, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2784.

Abundant Number Cube-Free Evil Number Flippable Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

10,104 10,105 10,106 10,107 10,108 10,109 10,110 10,111 10,112 10,113 10,114 10,115 10,116 10,117 10,118 10,119 10,120 10,121 10,122 10,123 10,124 10,125 10,126 10,127 10,128

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 61,101
Flips to (rotate 180°): 91,101
Recamán's sequence: a(5,019) = 10,116
Square (n²): 102,333,456
Cube (n³): 1,035,205,240,896
Divisor count: 18
σ(n) — sum of divisors: 25,662
φ(n) — Euler's totient: 3,360
Sum of prime factors: 291

Primality

Prime factorization: 2 ² × 3 ² × 281

Nearest primes: 10,111 (−5) · 10,133 (+17)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 281 · 562 · 843 · 1124 · 1686 · 2529 · 3372 · 5058 (half) · 10116

Aliquot sum (sum of proper divisors): 15,546

Factor pairs (a × b = 10,116)

1 × 10116

2 × 5058

3 × 3372

4 × 2529

6 × 1686

9 × 1124

12 × 843

18 × 562

36 × 281

First multiples

10,116 · 20,232 (double) · 30,348 · 40,464 · 50,580 · 60,696 · 70,812 · 80,928 · 91,044 · 101,160

Sums & aliquot sequence

As a sum of two squares: 30² + 96²

As consecutive integers: 3,371 + 3,372 + 3,373 1,261 + 1,262 + … + 1,268 1,120 + 1,121 + … + 1,128 410 + 411 + … + 433

Aliquot sequence: 10,116 → 15,546 → 15,558 → 15,570 → 25,146 → 34,758 → 40,590 → 77,346 → 90,276 → 120,396 → 166,324 → 131,820 → 268,020 → 545,520 → 1,146,336 → 1,863,048 → 3,218,712 — unresolved within range

Continued fraction of √n

√10,116 = [100; (1, 1, 2, 1, 2, 4, 9, 1, 4, 1, 5, 2, 5, 7, 1, 6, 3, 3, 1, 3, 1, 2, 2, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: ten thousand one hundred sixteen
Ordinal: 10116th
Binary: 10011110000100
Octal: 23604
Hexadecimal: 0x2784
Base64: J4Q=
One's complement: 55,419 (16-bit)
Scientific notation: 1.0116 × 10⁴
As a duration: 10,116 s = 2 hours, 48 minutes, 36 seconds

In other bases

ternary (3) 111212200

quaternary (4) 2132010

quinary (5) 310431

senary (6) 114500

septenary (7) 41331

nonary (9) 14780

undecimal (11) 7667

duodecimal (12) 5a30

tridecimal (13) 47b2

tetradecimal (14) 3988

pentadecimal (15) 2ee6

Palindromic in base 11

As an angle

10,116° = 28 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιριϛʹ
Mayan (base 20): 𝋡·𝋥·𝋥·𝋰
Chinese: 一萬零一百一十六
Chinese (financial): 壹萬零壹佰壹拾陸

In other modern scripts

Eastern Arabic ١٠١١٦ Devanagari १०११६ Bengali ১০১১৬ Tamil ௧௦௧௧௬ Thai ๑๐๑๑๖ Tibetan ༡༠༡༡༦ Khmer ១០១១៦ Lao ໑໐໑໑໖ Burmese ၁၀၁၁၆

Digit at this position in famous constants

π — Pi (π): Digit 10,116 = 9
e — Euler's number (e): Digit 10,116 = 2
φ — Golden ratio (φ): Digit 10,116 = 8
√2 — Pythagoras's (√2): Digit 10,116 = 5
ln 2 — Natural log of 2: Digit 10,116 = 1
γ — Euler-Mascheroni (γ): Digit 10,116 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10116, here are decompositions:

5 + 10111 = 10116
13 + 10103 = 10116
17 + 10099 = 10116
23 + 10093 = 10116
37 + 10079 = 10116
47 + 10069 = 10116
79 + 10037 = 10116
107 + 10009 = 10116

Showing the first eight; more decompositions exist.

Unicode codepoint

➄

Dingbat Circled Sans-Serif Digit Five

U+2784

Other number (No)

UTF-8 encoding: E2 9E 84 (3 bytes).

Lookup U+2784 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002784

RGB(0, 39, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.132.

Address: 0.0.39.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.132

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

Musical pitch

Heard as a frequency, 10,116 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +28¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -35¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +29¢)

Position in π

The digit sequence 10116 first appears in π at position 34,516 of the decimal expansion (the 34,516ordinal-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 10116 on Pi Search ↗