Live analysis

42,048

42,048 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.).

42,048 (forty-two thousand forty-eight) is an even 5-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3² × 73. Its proper divisors sum to 80,126, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA440.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

42,036 42,037 42,038 42,039 42,040 42,041 42,042 42,043 42,044 42,045 42,046 42,047 42,048 42,049 42,050 42,051 42,052 42,053 42,054 42,055 42,056 42,057 42,058 42,059 42,060

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 16 bits
Reversed: 84,024
Recamán's sequence: a(151,527) = 42,048
Square (n²): 1,768,034,304
Cube (n³): 74,342,306,414,592
Divisor count: 42
σ(n) — sum of divisors: 122,174
φ(n) — Euler's totient: 13,824
Sum of prime factors: 91

Primality

Prime factorization: 2 ⁶ × 3 ² × 73

Nearest primes: 42,043 (−5) · 42,061 (+13)

Divisors & multiples

All divisors (42)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 73 · 96 · 144 · 146 · 192 · 219 · 288 · 292 · 438 · 576 · 584 · 657 · 876 · 1168 · 1314 · 1752 · 2336 · 2628 · 3504 · 4672 · 5256 · 7008 · 10512 · 14016 · 21024 (half) · 42048

Aliquot sum (sum of proper divisors): 80,126

Factor pairs (a × b = 42,048)

1 × 42048

2 × 21024

3 × 14016

4 × 10512

6 × 7008

8 × 5256

9 × 4672

12 × 3504

16 × 2628

18 × 2336

24 × 1752

32 × 1314

36 × 1168

48 × 876

64 × 657

72 × 584

73 × 576

96 × 438

144 × 292

146 × 288

192 × 219

First multiples

42,048 · 84,096 (double) · 126,144 · 168,192 · 210,240 · 252,288 · 294,336 · 336,384 · 378,432 · 420,480

Sums & aliquot sequence

As a sum of two squares: 72² + 192²

As a sum of two cubes: 14³ + 34³

As consecutive integers: 14,015 + 14,016 + 14,017 4,668 + 4,669 + … + 4,676 540 + 541 + … + 612 265 + 266 + … + 392

Aliquot sequence: 42,048 → 80,126 → 40,066 → 28,478 → 15,802 → 7,904 → 9,736 → 8,534 → 5,074 → 2,846 → 1,426 → 878 → 442 → 314 → 160 → 218 → 112 — unresolved within range

Continued fraction of √n

√42,048 = [205; (17, 1, 4, 1, 4, 1, 17, 410)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: forty-two thousand forty-eight
Ordinal: 42048th
Binary: 1010010001000000
Octal: 122100
Hexadecimal: 0xA440
Base64: pEA=
One's complement: 23,487 (16-bit)
Scientific notation: 4.2048 × 10⁴
As a duration: 42,048 s = 11 hours, 40 minutes, 48 seconds

In other bases

ternary (3) 2010200100

quaternary (4) 22101000

quinary (5) 2321143

senary (6) 522400

septenary (7) 233406

nonary (9) 63610

undecimal (11) 29656

duodecimal (12) 20400

tridecimal (13) 161a6

tetradecimal (14) 11476

pentadecimal (15) c6d3

As an angle

42,048° = 116 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵μβμηʹ
Mayan (base 20): 𝋥·𝋥·𝋢·𝋨
Chinese: 四萬二千零四十八
Chinese (financial): 肆萬貳仟零肆拾捌

In other modern scripts

Eastern Arabic ٤٢٠٤٨ Devanagari ४२०४८ Bengali ৪২০৪৮ Tamil ௪௨௦௪௮ Thai ๔๒๐๔๘ Tibetan ༤༢༠༤༨ Khmer ៤២០៤៨ Lao ໔໒໐໔໘ Burmese ၄၂၀၄၈

Digit at this position in famous constants

π — Pi (π): Digit 42,048 = 4
e — Euler's number (e): Digit 42,048 = 1
φ — Golden ratio (φ): Digit 42,048 = 8
√2 — Pythagoras's (√2): Digit 42,048 = 6
ln 2 — Natural log of 2: Digit 42,048 = 3
γ — Euler-Mascheroni (γ): Digit 42,048 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42048, here are decompositions:

5 + 42043 = 42048
29 + 42019 = 42048
31 + 42017 = 42048
67 + 41981 = 42048
79 + 41969 = 42048
89 + 41959 = 42048
101 + 41947 = 42048
107 + 41941 = 42048

Showing the first eight; more decompositions exist.

Unicode codepoint

ꑀ

Yi Syllable Nju

U+A440

Other letter (Lo)

UTF-8 encoding: EA 91 80 (3 bytes).

Lookup U+A440 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00A440

RGB(0, 164, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.64.

Address: 0.0.164.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.164.64

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

Position in π

The digit sequence 42048 first appears in π at position 199,283 of the decimal expansion (the 199,283ordinal-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 42048 on Pi Search ↗