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61,116

61,116 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.).

61,116 (sixty-one thousand one hundred sixteen) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 463. Its proper divisors sum to 94,788, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0xEEBC.

Abundant Number Arithmetic Number Cube-Free Flippable Gapful Number Odious Number Palindrome Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
36
Digital root
6
Palindrome
Yes
Bit width
16 bits
Flips to (rotate 180°)
91,119
Recamán's sequence
a(46,828) = 61,116
Square (n²)
3,735,165,456
Cube (n³)
228,278,372,008,896
Divisor count
24
σ(n) — sum of divisors
155,904
φ(n) — Euler's totient
18,480
Sum of prime factors
481

Primality

Prime factorization: 2 2 × 3 × 11 × 463

Nearest primes: 61,099 (−17) · 61,121 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 132 · 463 · 926 · 1389 · 1852 · 2778 · 5093 · 5556 · 10186 · 15279 · 20372 · 30558 (half) · 61116
Aliquot sum (sum of proper divisors): 94,788
Factor pairs (a × b = 61,116)
1 × 61116
2 × 30558
3 × 20372
4 × 15279
6 × 10186
11 × 5556
12 × 5093
22 × 2778
33 × 1852
44 × 1389
66 × 926
132 × 463
First multiples
61,116 · 122,232 (double) · 183,348 · 244,464 · 305,580 · 366,696 · 427,812 · 488,928 · 550,044 · 611,160

Sums & aliquot sequence

As consecutive integers: 20,371 + 20,372 + 20,373 7,636 + 7,637 + … + 7,643 5,551 + 5,552 + … + 5,561 2,535 + 2,536 + … + 2,558
Aliquot sequence: 61,116 94,788 144,906 144,918 176,130 310,590 700,290 1,186,686 1,384,506 1,692,294 1,839,738 1,902,822 1,941,018 1,980,678 2,628,114 2,644,014 2,644,026 — unresolved within range

Continued fraction of √n

√61,116 = [247; (4, 1, 1, 1, 1, 1, 1, 1, 10, 1, 1, 1, 1, 1, 1, 1, 4, 494)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
sixty-one thousand one hundred sixteen
Ordinal
61116th
Binary
1110111010111100
Octal
167274
Hexadecimal
0xEEBC
Base64
7rw=
One's complement
4,419 (16-bit)
Scientific notation
6.1116 × 10⁴
As a duration
61,116 s = 16 hours, 58 minutes, 36 seconds
In other bases
ternary (3) 10002211120
quaternary (4) 32322330
quinary (5) 3423431
senary (6) 1150540
septenary (7) 343116
nonary (9) 102746
undecimal (11) 41a10
duodecimal (12) 2b450
tridecimal (13) 21a83
tetradecimal (14) 183b6
pentadecimal (15) 13196

As an angle

61,116° = 169 × 360° + 276°
276° ≈ 4.817 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ξαριϛʹ
Mayan (base 20)
𝋧·𝋬·𝋯·𝋰
Chinese
六萬一千一百一十六
Chinese (financial)
陸萬壹仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ٦١١١٦ Devanagari ६१११६ Bengali ৬১১১৬ Tamil ௬௧௧௧௬ Thai ๖๑๑๑๖ Tibetan ༦༡༡༡༦ Khmer ៦១១១៦ Lao ໖໑໑໑໖ Burmese ၆၁၁၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 61,116 = 7
e — Euler's number (e)
Digit 61,116 = 3
φ — Golden ratio (φ)
Digit 61,116 = 3
√2 — Pythagoras's (√2)
Digit 61,116 = 2
ln 2 — Natural log of 2
Digit 61,116 = 4
γ — Euler-Mascheroni (γ)
Digit 61,116 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 61116, here are decompositions:

  • 17 + 61099 = 61116
  • 59 + 61057 = 61116
  • 73 + 61043 = 61116
  • 89 + 61027 = 61116
  • 109 + 61007 = 61116
  • 163 + 60953 = 61116
  • 173 + 60943 = 61116
  • 179 + 60937 = 61116

Showing the first eight; more decompositions exist.

Hex color
#00EEBC
RGB(0, 238, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.238.188.

Address
0.0.238.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.238.188

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

Position in π

The digit sequence 61116 first appears in π at position 46,303 of the decimal expansion (the 46,303ordinal-suffix:rd 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.