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138,942

138,942 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.).

138,942 (one hundred thirty-eight thousand nine hundred forty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 31 × 83. Its proper divisors sum to 183,618, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21EBE.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,728
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
249,831
Recamán's sequence
a(490,943) = 138,942
Square (n²)
19,304,879,364
Cube (n³)
2,682,258,548,592,888
Divisor count
32
σ(n) — sum of divisors
322,560
φ(n) — Euler's totient
44,280
Sum of prime factors
125

Primality

Prime factorization: 2 × 3 3 × 31 × 83

Nearest primes: 138,937 (−5) · 138,959 (+17)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 31 · 54 · 62 · 83 · 93 · 166 · 186 · 249 · 279 · 498 · 558 · 747 · 837 · 1494 · 1674 · 2241 · 2573 · 4482 · 5146 · 7719 · 15438 · 23157 · 46314 · 69471 (half) · 138942
Aliquot sum (sum of proper divisors): 183,618
Factor pairs (a × b = 138,942)
1 × 138942
2 × 69471
3 × 46314
6 × 23157
9 × 15438
18 × 7719
27 × 5146
31 × 4482
54 × 2573
62 × 2241
83 × 1674
93 × 1494
166 × 837
186 × 747
249 × 558
279 × 498
First multiples
138,942 · 277,884 (double) · 416,826 · 555,768 · 694,710 · 833,652 · 972,594 · 1,111,536 · 1,250,478 · 1,389,420

Sums & aliquot sequence

As consecutive integers: 46,313 + 46,314 + 46,315 34,734 + 34,735 + 34,736 + 34,737 15,434 + 15,435 + … + 15,442 11,573 + 11,574 + … + 11,584
Aliquot sequence: 138,942 183,618 218,199 72,737 10,399 1 0 — terminates at zero

Continued fraction of √n

√138,942 = [372; (1, 2, 1, 82, 12, 82, 1, 2, 1, 744)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand nine hundred forty-two
Ordinal
138942nd
Binary
100001111010111110
Octal
417276
Hexadecimal
0x21EBE
Base64
Ah6+
One's complement
4,294,828,353 (32-bit)
Scientific notation
1.38942 × 10⁵
As a duration
138,942 s = 1 day, 14 hours, 35 minutes, 42 seconds
In other bases
ternary (3) 21001121000
quaternary (4) 201322332
quinary (5) 13421232
senary (6) 2551130
septenary (7) 1116036
nonary (9) 231530
undecimal (11) 95431
duodecimal (12) 684a6
tridecimal (13) 4b31b
tetradecimal (14) 388c6
pentadecimal (15) 2b27c

As an angle

138,942° = 385 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληϡμβʹ
Mayan (base 20)
𝋱·𝋧·𝋧·𝋢
Chinese
一十三萬八千九百四十二
Chinese (financial)
壹拾參萬捌仟玖佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٨٩٤٢ Devanagari १३८९४२ Bengali ১৩৮৯৪২ Tamil ௧௩௮௯௪௨ Thai ๑๓๘๙๔๒ Tibetan ༡༣༨༩༤༢ Khmer ១៣៨៩៤២ Lao ໑໓໘໙໔໒ Burmese ၁၃၈၉၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138942, here are decompositions:

  • 5 + 138937 = 138942
  • 19 + 138923 = 138942
  • 43 + 138899 = 138942
  • 53 + 138889 = 138942
  • 59 + 138883 = 138942
  • 73 + 138869 = 138942
  • 79 + 138863 = 138942
  • 101 + 138841 = 138942

Showing the first eight; more decompositions exist.

Unicode codepoint
𡺾
CJK Unified Ideograph-21Ebe
U+21EBE
Other letter (Lo)

UTF-8 encoding: F0 A1 BA BE (4 bytes).

Hex color
#021EBE
RGB(2, 30, 190)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.190.

Address
0.2.30.190
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.190

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 138,942 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 138942 first appears in π at position 726,567 of the decimal expansion (the 726,567ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.