number.wiki
Live analysis

42,688

42,688 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.).
Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number Smith Number

Properties

Parity
Even
Digit count
5
Digit sum
28
Digit product
3,072
Digital root
1
Palindrome
No
Bit width
16 bits
Reversed
88,624
Recamán's sequence
a(73,216) = 42,688
Square (n²)
1,822,265,344
Cube (n³)
77,788,863,004,672
Divisor count
28
σ(n) — sum of divisors
91,440
φ(n) — Euler's totient
19,712
Sum of prime factors
64

Primality

Prime factorization: 2 6 × 23 × 29

Nearest primes: 42,683 (−5) · 42,689 (+1)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 23 · 29 · 32 · 46 · 58 · 64 · 92 · 116 · 184 · 232 · 368 · 464 · 667 · 736 · 928 · 1334 · 1472 · 1856 · 2668 · 5336 · 10672 · 21344 (half) · 42688
Aliquot sum (sum of proper divisors): 48,752
Factor pairs (a × b = 42,688)
1 × 42688
2 × 21344
4 × 10672
8 × 5336
16 × 2668
23 × 1856
29 × 1472
32 × 1334
46 × 928
58 × 736
64 × 667
92 × 464
116 × 368
184 × 232
First multiples
42,688 · 85,376 (double) · 128,064 · 170,752 · 213,440 · 256,128 · 298,816 · 341,504 · 384,192 · 426,880

Sums & aliquot sequence

As consecutive integers: 1,845 + 1,846 + … + 1,867 1,458 + 1,459 + … + 1,486 270 + 271 + … + 397
Aliquot sequence: 42,688 48,752 54,664 47,846 25,594 13,574 8,674 4,340 6,412 6,468 12,684 21,364 22,526 16,114 11,534 6,226 3,998 — unresolved within range

Representations

In words
forty-two thousand six hundred eighty-eight
Ordinal
42688th
Binary
1010011011000000
Octal
123300
Hexadecimal
0xA6C0
Base64
psA=
One's complement
22,847 (16-bit)
In other bases
ternary (3) 2011120001
quaternary (4) 22123000
quinary (5) 2331223
senary (6) 525344
septenary (7) 235312
nonary (9) 64501
undecimal (11) 2a088
duodecimal (12) 20854
tridecimal (13) 16579
tetradecimal (14) 117b2
pentadecimal (15) c9ad

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μβχπηʹ
Mayan (base 20)
𝋥·𝋦·𝋮·𝋨
Chinese
四萬二千六百八十八
Chinese (financial)
肆萬貳仟陸佰捌拾捌
In other modern scripts
Eastern Arabic ٤٢٦٨٨ Devanagari ४२६८८ Bengali ৪২৬৮৮ Tamil ௪௨௬௮௮ Thai ๔๒๖๘๘ Tibetan ༤༢༦༨༨ Khmer ៤២៦៨៨ Lao ໔໒໖໘໘ Burmese ၄၂၆၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 42,688 = 1
e — Euler's number (e)
Digit 42,688 = 9
φ — Golden ratio (φ)
Digit 42,688 = 5
√2 — Pythagoras's (√2)
Digit 42,688 = 8
ln 2 — Natural log of 2
Digit 42,688 = 7
γ — Euler-Mascheroni (γ)
Digit 42,688 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42688, here are decompositions:

  • 5 + 42683 = 42688
  • 11 + 42677 = 42688
  • 47 + 42641 = 42688
  • 131 + 42557 = 42688
  • 179 + 42509 = 42688
  • 197 + 42491 = 42688
  • 227 + 42461 = 42688
  • 251 + 42437 = 42688

Showing the first eight; more decompositions exist.

Unicode codepoint
Bamum Letter Shu
U+A6C0
Other letter (Lo)

UTF-8 encoding: EA 9B 80 (3 bytes).

Hex color
#00A6C0
RGB(0, 166, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.166.192.

Address
0.0.166.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.166.192

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

Position in π

The digit sequence 42688 first appears in π at position 166,427 of the decimal expansion (the 166,427ordinal-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.