Live analysis

42,066

42,066 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.).

42,066 (forty-two thousand sixty-six) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 19 × 41. Its proper divisors sum to 58,734, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA452.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

42,054 42,055 42,056 42,057 42,058 42,059 42,060 42,061 42,062 42,063 42,064 42,065 42,066 42,067 42,068 42,069 42,070 42,071 42,072 42,073 42,074 42,075 42,076 42,077 42,078

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 16 bits
Reversed: 66,024
Recamán's sequence: a(151,491) = 42,066
Square (n²): 1,769,548,356
Cube (n³): 74,437,821,143,496
Divisor count: 32
σ(n) — sum of divisors: 100,800
φ(n) — Euler's totient: 12,960
Sum of prime factors: 71

Primality

Prime factorization: 2 × 3 ³ × 19 × 41

Nearest primes: 42,061 (−5) · 42,071 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 9 · 18 · 19 · 27 · 38 · 41 · 54 · 57 · 82 · 114 · 123 · 171 · 246 · 342 · 369 · 513 · 738 · 779 · 1026 · 1107 · 1558 · 2214 · 2337 · 4674 · 7011 · 14022 · 21033 (half) · 42066

Aliquot sum (sum of proper divisors): 58,734

Factor pairs (a × b = 42,066)

1 × 42066

2 × 21033

3 × 14022

6 × 7011

9 × 4674

18 × 2337

19 × 2214

27 × 1558

38 × 1107

41 × 1026

54 × 779

57 × 738

82 × 513

114 × 369

123 × 342

171 × 246

First multiples

42,066 · 84,132 (double) · 126,198 · 168,264 · 210,330 · 252,396 · 294,462 · 336,528 · 378,594 · 420,660

Sums & aliquot sequence

As consecutive integers: 14,021 + 14,022 + 14,023 10,515 + 10,516 + 10,517 + 10,518 4,670 + 4,671 + … + 4,678 3,500 + 3,501 + … + 3,511

Aliquot sequence: 42,066 → 58,734 → 78,858 → 105,690 → 168,486 → 168,498 → 258,318 → 310,770 → 518,670 → 958,770 → 1,685,070 → 2,866,050 → 5,794,110 → 12,469,122 → 14,547,348 → 22,344,780 → 40,220,772 — unresolved within range

Continued fraction of √n

√42,066 = [205; (10, 410)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: forty-two thousand sixty-six
Ordinal: 42066th
Binary: 1010010001010010
Octal: 122122
Hexadecimal: 0xA452
Base64: pFI=
One's complement: 23,469 (16-bit)
Scientific notation: 4.2066 × 10⁴
As a duration: 42,066 s = 11 hours, 41 minutes, 6 seconds

In other bases

ternary (3) 2010201000

quaternary (4) 22101102

quinary (5) 2321231

senary (6) 522430

septenary (7) 233433

nonary (9) 63630

undecimal (11) 29672

duodecimal (12) 20416

tridecimal (13) 161bb

tetradecimal (14) 1148a

pentadecimal (15) c6e6

As an angle

42,066° = 116 × 360° + 306°

306° ≈ 5.341 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵μβξϛʹ
Mayan (base 20): 𝋥·𝋥·𝋣·𝋦
Chinese: 四萬二千零六十六
Chinese (financial): 肆萬貳仟零陸拾陸

In other modern scripts

Eastern Arabic ٤٢٠٦٦ Devanagari ४२०६६ Bengali ৪২০৬৬ Tamil ௪௨௦௬௬ Thai ๔๒๐๖๖ Tibetan ༤༢༠༦༦ Khmer ៤២០៦៦ Lao ໔໒໐໖໖ Burmese ၄၂၀၆၆

Digit at this position in famous constants

π — Pi (π): Digit 42,066 = 6
e — Euler's number (e): Digit 42,066 = 1
φ — Golden ratio (φ): Digit 42,066 = 6
√2 — Pythagoras's (√2): Digit 42,066 = 6
ln 2 — Natural log of 2: Digit 42,066 = 3
γ — Euler-Mascheroni (γ): Digit 42,066 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42066, here are decompositions:

5 + 42061 = 42066
23 + 42043 = 42066
43 + 42023 = 42066
47 + 42019 = 42066
53 + 42013 = 42066
67 + 41999 = 42066
83 + 41983 = 42066
97 + 41969 = 42066

Showing the first eight; more decompositions exist.

Unicode codepoint

ꑒ

Yi Syllable Nyuox

U+A452

Other letter (Lo)

UTF-8 encoding: EA 91 92 (3 bytes).

Lookup U+A452 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00A452

RGB(0, 164, 82)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.82.

Address: 0.0.164.82
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.164.82

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

Position in π

The digit sequence 42066 first appears in π at position 66,203 of the decimal expansion (the 66,203ordinal-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.

Look up 42066 on Pi Search ↗