number.wiki
Live analysis

21,742

21,742 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.).
Arithmetic Number Deficient Number Odious Number Recamán's Sequence Sphenic Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
112
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
24,712
Recamán's sequence
a(40,355) = 21,742
Square (n²)
472,714,564
Cube (n³)
10,277,760,050,488
Divisor count
8
σ(n) — sum of divisors
37,296
φ(n) — Euler's totient
9,312
Sum of prime factors
1,562

Primality

Prime factorization: 2 × 7 × 1553

Nearest primes: 21,739 (−3) · 21,751 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 1553 · 3106 · 10871 (half) · 21742
Aliquot sum (sum of proper divisors): 15,554
Factor pairs (a × b = 21,742)
1 × 21742
2 × 10871
7 × 3106
14 × 1553
First multiples
21,742 · 43,484 (double) · 65,226 · 86,968 · 108,710 · 130,452 · 152,194 · 173,936 · 195,678 · 217,420

Sums & aliquot sequence

As consecutive integers: 5,434 + 5,435 + 5,436 + 5,437 3,103 + 3,104 + … + 3,109 763 + 764 + … + 790
Aliquot sequence: 21,742 15,554 13,822 6,914 3,460 3,848 4,132 3,106 1,556 1,174 590 490 536 484 447 153 81 — unresolved within range

Representations

In words
twenty-one thousand seven hundred forty-two
Ordinal
21742nd
Binary
101010011101110
Octal
52356
Hexadecimal
0x54EE
Base64
VO4=
One's complement
43,793 (16-bit)
In other bases
ternary (3) 1002211021
quaternary (4) 11103232
quinary (5) 1143432
senary (6) 244354
septenary (7) 120250
nonary (9) 32737
undecimal (11) 15376
duodecimal (12) 106ba
tridecimal (13) 9b86
tetradecimal (14) 7cd0
pentadecimal (15) 6697

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵καψμβʹ
Mayan (base 20)
𝋢·𝋮·𝋧·𝋢
Chinese
二萬一千七百四十二
Chinese (financial)
貳萬壹仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ٢١٧٤٢ Devanagari २१७४२ Bengali ২১৭৪২ Tamil ௨௧௭௪௨ Thai ๒๑๗๔๒ Tibetan ༢༡༧༤༢ Khmer ២១៧៤២ Lao ໒໑໗໔໒ Burmese ၂၁၇၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 21,742 = 4
e — Euler's number (e)
Digit 21,742 = 4
φ — Golden ratio (φ)
Digit 21,742 = 1
√2 — Pythagoras's (√2)
Digit 21,742 = 9
ln 2 — Natural log of 2
Digit 21,742 = 9
γ — Euler-Mascheroni (γ)
Digit 21,742 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21742, here are decompositions:

  • 3 + 21739 = 21742
  • 5 + 21737 = 21742
  • 29 + 21713 = 21742
  • 41 + 21701 = 21742
  • 59 + 21683 = 21742
  • 131 + 21611 = 21742
  • 173 + 21569 = 21742
  • 179 + 21563 = 21742

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-54Ee
U+54EE
Other letter (Lo)

UTF-8 encoding: E5 93 AE (3 bytes).

Hex color
#0054EE
RGB(0, 84, 238)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.84.238.

Address
0.0.84.238
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.84.238

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

Position in π

The digit sequence 21742 first appears in π at position 20,465 of the decimal expansion (the 20,465ordinal-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.