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41,888

41,888 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.).

41,888 (forty-one thousand eight hundred eighty-eight) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 7 × 11 × 17. Its proper divisors sum to 66,976, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA3A0.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
29
Digit product
2,048
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
88,814
Recamán's sequence
a(11,584) = 41,888
Square (n²)
1,754,604,544
Cube (n³)
73,496,875,139,072
Divisor count
48
σ(n) — sum of divisors
108,864
φ(n) — Euler's totient
15,360
Sum of prime factors
45

Primality

Prime factorization: 2 5 × 7 × 11 × 17

Nearest primes: 41,887 (−1) · 41,893 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 8 · 11 · 14 · 16 · 17 · 22 · 28 · 32 · 34 · 44 · 56 · 68 · 77 · 88 · 112 · 119 · 136 · 154 · 176 · 187 · 224 · 238 · 272 · 308 · 352 · 374 · 476 · 544 · 616 · 748 · 952 · 1232 · 1309 · 1496 · 1904 · 2464 · 2618 · 2992 · 3808 · 5236 · 5984 · 10472 · 20944 (half) · 41888
Aliquot sum (sum of proper divisors): 66,976
Factor pairs (a × b = 41,888)
1 × 41888
2 × 20944
4 × 10472
7 × 5984
8 × 5236
11 × 3808
14 × 2992
16 × 2618
17 × 2464
22 × 1904
28 × 1496
32 × 1309
34 × 1232
44 × 952
56 × 748
68 × 616
77 × 544
88 × 476
112 × 374
119 × 352
136 × 308
154 × 272
176 × 238
187 × 224
First multiples
41,888 · 83,776 (double) · 125,664 · 167,552 · 209,440 · 251,328 · 293,216 · 335,104 · 376,992 · 418,880

Sums & aliquot sequence

As consecutive integers: 5,981 + 5,982 + … + 5,987 3,803 + 3,804 + … + 3,813 2,456 + 2,457 + … + 2,472 623 + 624 + … + 686
Aliquot sequence: 41,888 66,976 102,368 128,464 173,104 174,096 381,424 382,416 641,328 1,072,848 2,228,528 2,229,520 3,311,420 5,115,460 7,383,740 11,705,092 11,942,588 — unresolved within range

Continued fraction of √n

√41,888 = [204; (1, 1, 1, 101, 1, 1, 1, 408)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
forty-one thousand eight hundred eighty-eight
Ordinal
41888th
Binary
1010001110100000
Octal
121640
Hexadecimal
0xA3A0
Base64
o6A=
One's complement
23,647 (16-bit)
Scientific notation
4.1888 × 10⁴
As a duration
41,888 s = 11 hours, 38 minutes, 8 seconds
In other bases
ternary (3) 2010110102
quaternary (4) 22032200
quinary (5) 2320023
senary (6) 521532
septenary (7) 233060
nonary (9) 63412
undecimal (11) 29520
duodecimal (12) 202a8
tridecimal (13) 160b2
tetradecimal (14) 113a0
pentadecimal (15) c628
Palindromic in base 3

As an angle

41,888° = 116 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μαωπηʹ
Mayan (base 20)
𝋥·𝋤·𝋮·𝋨
Chinese
四萬一千八百八十八
Chinese (financial)
肆萬壹仟捌佰捌拾捌
In other modern scripts
Eastern Arabic ٤١٨٨٨ Devanagari ४१८८८ Bengali ৪১৮৮৮ Tamil ௪௧௮௮௮ Thai ๔๑๘๘๘ Tibetan ༤༡༨༨༨ Khmer ៤១៨៨៨ Lao ໔໑໘໘໘ Burmese ၄၁၈၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 41,888 = 3
e — Euler's number (e)
Digit 41,888 = 7
φ — Golden ratio (φ)
Digit 41,888 = 3
√2 — Pythagoras's (√2)
Digit 41,888 = 2
ln 2 — Natural log of 2
Digit 41,888 = 9
γ — Euler-Mascheroni (γ)
Digit 41,888 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 41888, here are decompositions:

  • 37 + 41851 = 41888
  • 79 + 41809 = 41888
  • 127 + 41761 = 41888
  • 151 + 41737 = 41888
  • 229 + 41659 = 41888
  • 241 + 41647 = 41888
  • 271 + 41617 = 41888
  • 277 + 41611 = 41888

Showing the first eight; more decompositions exist.

Unicode codepoint
Yi Syllable Nrux
U+A3A0
Other letter (Lo)

UTF-8 encoding: EA 8E A0 (3 bytes).

Hex color
#00A3A0
RGB(0, 163, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.163.160.

Address
0.0.163.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.163.160

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

Position in π

The digit sequence 41888 first appears in π at position 20,805 of the decimal expansion (the 20,805ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.