Live analysis

42,138

42,138 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.).

42,138 (forty-two thousand one hundred thirty-eight) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 2,341. Its proper divisors sum to 49,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA49A.

Abundant Number Cube-Free Happy Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiperfect Number Smith Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

42,126 42,127 42,128 42,129 42,130 42,131 42,132 42,133 42,134 42,135 42,136 42,137 42,138 42,139 42,140 42,141 42,142 42,143 42,144 42,145 42,146 42,147 42,148 42,149 42,150

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 192
Digital root: 9
Palindrome: No
Bit width: 16 bits
Reversed: 83,124
Recamán's sequence: a(151,347) = 42,138
Square (n²): 1,775,611,044
Cube (n³): 74,820,698,172,072
Divisor count: 12
σ(n) — sum of divisors: 91,338
φ(n) — Euler's totient: 14,040
Sum of prime factors: 2,349

Primality

Prime factorization: 2 × 3 ² × 2341

Nearest primes: 42,131 (−7) · 42,139 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 2341 · 4682 · 7023 · 14046 · 21069 (half) · 42138

Aliquot sum (sum of proper divisors): 49,200

Factor pairs (a × b = 42,138)

1 × 42138

2 × 21069

3 × 14046

6 × 7023

9 × 4682

18 × 2341

First multiples

42,138 · 84,276 (double) · 126,414 · 168,552 · 210,690 · 252,828 · 294,966 · 337,104 · 379,242 · 421,380

Sums & aliquot sequence

As a sum of two squares: 93² + 183²

As consecutive integers: 14,045 + 14,046 + 14,047 10,533 + 10,534 + 10,535 + 10,536 4,678 + 4,679 + … + 4,686 3,506 + 3,507 + … + 3,517

Aliquot sequence: 42,138 → 49,200 → 112,248 → 191,952 → 375,472 → 376,464 → 766,320 → 1,709,712 → 3,242,352 → 5,407,888 → 5,408,880 → 11,923,344 → 22,534,768 → 22,535,760 → 55,459,248 → 109,863,504 → 207,532,848 — unresolved within range

Continued fraction of √n

√42,138 = [205; (3, 1, 1, 1, 2, 2, 2, 1, 17, 7, 45, 2, 9, 1, 1, 12, 1, 2, 1, 1, 4, 4, 1, 44, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: forty-two thousand one hundred thirty-eight
Ordinal: 42138th
Binary: 1010010010011010
Octal: 122232
Hexadecimal: 0xA49A
Base64: pJo=
One's complement: 23,397 (16-bit)
Scientific notation: 4.2138 × 10⁴
As a duration: 42,138 s = 11 hours, 42 minutes, 18 seconds

In other bases

ternary (3) 2010210200

quaternary (4) 22102122

quinary (5) 2322023

senary (6) 523030

septenary (7) 233565

nonary (9) 63720

undecimal (11) 29728

duodecimal (12) 20476

tridecimal (13) 16245

tetradecimal (14) 114dc

pentadecimal (15) c743

As an angle

42,138° = 117 × 360° + 18°

18° ≈ 0.314 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵μβρληʹ
Mayan (base 20): 𝋥·𝋥·𝋦·𝋲
Chinese: 四萬二千一百三十八
Chinese (financial): 肆萬貳仟壹佰參拾捌

In other modern scripts

Eastern Arabic ٤٢١٣٨ Devanagari ४२१३८ Bengali ৪২১৩৮ Tamil ௪௨௧௩௮ Thai ๔๒๑๓๘ Tibetan ༤༢༡༣༨ Khmer ៤២១៣៨ Lao ໔໒໑໓໘ Burmese ၄၂၁၃၈

Digit at this position in famous constants

π — Pi (π): Digit 42,138 = 7
e — Euler's number (e): Digit 42,138 = 7
φ — Golden ratio (φ): Digit 42,138 = 0
√2 — Pythagoras's (√2): Digit 42,138 = 7
ln 2 — Natural log of 2: Digit 42,138 = 2
γ — Euler-Mascheroni (γ): Digit 42,138 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42138, here are decompositions:

7 + 42131 = 42138
37 + 42101 = 42138
67 + 42071 = 42138
139 + 41999 = 42138
157 + 41981 = 42138
179 + 41959 = 42138
181 + 41957 = 42138
191 + 41947 = 42138

Showing the first eight; more decompositions exist.

Unicode codepoint

꒚

Yi Radical Lyr

U+A49A

Other symbol (So)

UTF-8 encoding: EA 92 9A (3 bytes).

Lookup U+A49A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00A49A

RGB(0, 164, 154)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.154.

Address: 0.0.164.154
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.164.154

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

Position in π

The digit sequence 42138 first appears in π at position 139,676 of the decimal expansion (the 139,676ordinal-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.

Look up 42138 on Pi Search ↗