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138,642

138,642 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.).

138,642 (one hundred thirty-eight thousand six hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 3,301. Its proper divisors sum to 178,350, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D92.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,152
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
246,831
Recamán's sequence
a(491,543) = 138,642
Square (n²)
19,221,604,164
Cube (n³)
2,664,921,644,505,288
Divisor count
16
σ(n) — sum of divisors
316,992
φ(n) — Euler's totient
39,600
Sum of prime factors
3,313

Primality

Prime factorization: 2 × 3 × 7 × 3301

Nearest primes: 138,641 (−1) · 138,647 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 3301 · 6602 · 9903 · 19806 · 23107 · 46214 · 69321 (half) · 138642
Aliquot sum (sum of proper divisors): 178,350
Factor pairs (a × b = 138,642)
1 × 138642
2 × 69321
3 × 46214
6 × 23107
7 × 19806
14 × 9903
21 × 6602
42 × 3301
First multiples
138,642 · 277,284 (double) · 415,926 · 554,568 · 693,210 · 831,852 · 970,494 · 1,109,136 · 1,247,778 · 1,386,420

Sums & aliquot sequence

As consecutive integers: 46,213 + 46,214 + 46,215 34,659 + 34,660 + 34,661 + 34,662 19,803 + 19,804 + … + 19,809 11,548 + 11,549 + … + 11,559
Aliquot sequence: 138,642 178,350 290,370 406,590 569,298 576,942 576,954 933,126 933,138 1,133,550 2,203,290 3,525,498 4,309,062 4,587,450 9,233,094 10,653,738 11,580,438 — unresolved within range

Continued fraction of √n

√138,642 = [372; (2, 1, 7, 1, 2, 2, 1, 18, 2, 1, 1, 5, 1, 1, 3, 1, 11, 4, 3, 9, 8, 2, 4, 1, …)]

Representations

In words
one hundred thirty-eight thousand six hundred forty-two
Ordinal
138642nd
Binary
100001110110010010
Octal
416622
Hexadecimal
0x21D92
Base64
Ah2S
One's complement
4,294,828,653 (32-bit)
Scientific notation
1.38642 × 10⁵
As a duration
138,642 s = 1 day, 14 hours, 30 minutes, 42 seconds
In other bases
ternary (3) 21001011220
quaternary (4) 201312102
quinary (5) 13414032
senary (6) 2545510
septenary (7) 1115130
nonary (9) 231156
undecimal (11) 95189
duodecimal (12) 68296
tridecimal (13) 4b14a
tetradecimal (14) 38750
pentadecimal (15) 2b12c

As an angle

138,642° = 385 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληχμβʹ
Mayan (base 20)
𝋱·𝋦·𝋬·𝋢
Chinese
一十三萬八千六百四十二
Chinese (financial)
壹拾參萬捌仟陸佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٨٦٤٢ Devanagari १३८६४२ Bengali ১৩৮৬৪২ Tamil ௧௩௮௬௪௨ Thai ๑๓๘๖๔๒ Tibetan ༡༣༨༦༤༢ Khmer ១៣៨៦៤២ Lao ໑໓໘໖໔໒ Burmese ၁၃၈၆၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138642, here are decompositions:

  • 5 + 138637 = 138642
  • 13 + 138629 = 138642
  • 43 + 138599 = 138642
  • 61 + 138581 = 138642
  • 71 + 138571 = 138642
  • 73 + 138569 = 138642
  • 79 + 138563 = 138642
  • 83 + 138559 = 138642

Showing the first eight; more decompositions exist.

Unicode codepoint
𡶒
CJK Unified Ideograph-21D92
U+21D92
Other letter (Lo)

UTF-8 encoding: F0 A1 B6 92 (4 bytes).

Hex color
#021D92
RGB(2, 29, 146)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.146.

Address
0.2.29.146
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.146

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 138,642 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 138642 first appears in π at position 743,593 of the decimal expansion (the 743,593ordinal-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.

Related reading

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