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138,272

138,272 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.).

138,272 (one hundred thirty-eight thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 29 × 149. Its proper divisors sum to 145,228, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C20.

Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
672
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
272,831
Recamán's sequence
a(492,283) = 138,272
Square (n²)
19,119,145,984
Cube (n³)
2,643,642,553,499,648
Divisor count
24
σ(n) — sum of divisors
283,500
φ(n) — Euler's totient
66,304
Sum of prime factors
188

Primality

Prime factorization: 2 5 × 29 × 149

Nearest primes: 138,251 (−21) · 138,283 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 29 · 32 · 58 · 116 · 149 · 232 · 298 · 464 · 596 · 928 · 1192 · 2384 · 4321 · 4768 · 8642 · 17284 · 34568 · 69136 (half) · 138272
Aliquot sum (sum of proper divisors): 145,228
Factor pairs (a × b = 138,272)
1 × 138272
2 × 69136
4 × 34568
8 × 17284
16 × 8642
29 × 4768
32 × 4321
58 × 2384
116 × 1192
149 × 928
232 × 596
298 × 464
First multiples
138,272 · 276,544 (double) · 414,816 · 553,088 · 691,360 · 829,632 · 967,904 · 1,106,176 · 1,244,448 · 1,382,720

Sums & aliquot sequence

As a sum of two squares: 76² + 364² = 196² + 316²
As consecutive integers: 4,754 + 4,755 + … + 4,782 2,129 + 2,130 + … + 2,192 854 + 855 + … + 1,002
Aliquot sequence: 138,272 145,228 108,928 123,632 115,936 112,376 117,664 114,050 98,176 116,024 101,536 110,144 108,550 110,186 59,674 29,840 39,724 — unresolved within range

Continued fraction of √n

√138,272 = [371; (1, 5, 1, 1, 1, 3, 1, 3, 105, 1, 45, 2, 26, 15, 7, 6, 2, 185, 2, 6, 7, 15, 26, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand two hundred seventy-two
Ordinal
138272nd
Binary
100001110000100000
Octal
416040
Hexadecimal
0x21C20
Base64
Ahwg
One's complement
4,294,829,023 (32-bit)
Scientific notation
1.38272 × 10⁵
As a duration
138,272 s = 1 day, 14 hours, 24 minutes, 32 seconds
In other bases
ternary (3) 21000200012
quaternary (4) 201300200
quinary (5) 13411042
senary (6) 2544052
septenary (7) 1114061
nonary (9) 230605
undecimal (11) 94982
duodecimal (12) 68028
tridecimal (13) 4ac24
tetradecimal (14) 38568
pentadecimal (15) 2ae82
Palindromic in base 3

As an angle

138,272° = 384 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλησοβʹ
Mayan (base 20)
𝋱·𝋥·𝋭·𝋬
Chinese
一十三萬八千二百七十二
Chinese (financial)
壹拾參萬捌仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٨٢٧٢ Devanagari १३८२७२ Bengali ১৩৮২৭২ Tamil ௧௩௮௨௭௨ Thai ๑๓๘๒๗๒ Tibetan ༡༣༨༢༧༢ Khmer ១៣៨២៧២ Lao ໑໓໘໒໗໒ Burmese ၁၃၈၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138272, here are decompositions:

  • 31 + 138241 = 138272
  • 109 + 138163 = 138272
  • 193 + 138079 = 138272
  • 331 + 137941 = 138272
  • 613 + 137659 = 138272
  • 619 + 137653 = 138272
  • 829 + 137443 = 138272
  • 859 + 137413 = 138272

Showing the first eight; more decompositions exist.

Unicode codepoint
𡰠
CJK Unified Ideograph-21C20
U+21C20
Other letter (Lo)

UTF-8 encoding: F0 A1 B0 A0 (4 bytes).

Hex color
#021C20
RGB(2, 28, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.32.

Address
0.2.28.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.32

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 138,272 and was likely granted around 1872.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.