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138,410

138,410 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.).

138,410 (one hundred thirty-eight thousand four hundred ten) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 13,841. Written other ways, in hexadecimal, 0x21CAA.

Cube-Free Deficient Number Evil Number Gapful Number Happy Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
14,831
Recamán's sequence
a(492,007) = 138,410
Square (n²)
19,157,328,100
Cube (n³)
2,651,565,782,321,000
Divisor count
8
σ(n) — sum of divisors
249,156
φ(n) — Euler's totient
55,360
Sum of prime factors
13,848

Primality

Prime factorization: 2 × 5 × 13841

Nearest primes: 138,407 (−3) · 138,427 (+17)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 13841 · 27682 · 69205 (half) · 138410
Aliquot sum (sum of proper divisors): 110,746
Factor pairs (a × b = 138,410)
1 × 138410
2 × 69205
5 × 27682
10 × 13841
First multiples
138,410 · 276,820 (double) · 415,230 · 553,640 · 692,050 · 830,460 · 968,870 · 1,107,280 · 1,245,690 · 1,384,100

Sums & aliquot sequence

As a sum of two squares: 61² + 367² = 257² + 269²
As consecutive integers: 34,601 + 34,602 + 34,603 + 34,604 27,680 + 27,681 + 27,682 + 27,683 + 27,684 6,911 + 6,912 + … + 6,930
Aliquot sequence: 138,410 110,746 55,376 51,946 30,134 21,946 10,976 14,224 17,520 37,536 71,328 116,160 289,224 584,376 989,784 1,748,016 3,249,184 — unresolved within range

Continued fraction of √n

√138,410 = [372; (28, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 2, 3, 9, 1, 3, 8, 2, 1, 1, 8, 1, 4, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand four hundred ten
Ordinal
138410th
Binary
100001110010101010
Octal
416252
Hexadecimal
0x21CAA
Base64
Ahyq
One's complement
4,294,828,885 (32-bit)
Scientific notation
1.3841 × 10⁵
As a duration
138,410 s = 1 day, 14 hours, 26 minutes, 50 seconds
In other bases
ternary (3) 21000212022
quaternary (4) 201302222
quinary (5) 13412120
senary (6) 2544442
septenary (7) 1114346
nonary (9) 230768
undecimal (11) 94a98
duodecimal (12) 68122
tridecimal (13) 4accc
tetradecimal (14) 38626
pentadecimal (15) 2b025

As an angle

138,410° = 384 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆
Greek (Milesian)
͵ρληυιʹ
Mayan (base 20)
𝋱·𝋦·𝋠·𝋪
Chinese
一十三萬八千四百一十
Chinese (financial)
壹拾參萬捌仟肆佰壹拾
In other modern scripts
Eastern Arabic ١٣٨٤١٠ Devanagari १३८४१० Bengali ১৩৮৪১০ Tamil ௧௩௮௪௧௦ Thai ๑๓๘๔๑๐ Tibetan ༡༣༨༤༡༠ Khmer ១៣៨៤១០ Lao ໑໓໘໔໑໐ Burmese ၁၃၈၄၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138410, here are decompositions:

  • 3 + 138407 = 138410
  • 7 + 138403 = 138410
  • 37 + 138373 = 138410
  • 61 + 138349 = 138410
  • 73 + 138337 = 138410
  • 127 + 138283 = 138410
  • 163 + 138247 = 138410
  • 229 + 138181 = 138410

Showing the first eight; more decompositions exist.

Unicode codepoint
𡲪
CJK Unified Ideograph-21Caa
U+21CAA
Other letter (Lo)

UTF-8 encoding: F0 A1 B2 AA (4 bytes).

Hex color
#021CAA
RGB(2, 28, 170)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.170.

Address
0.2.28.170
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.170

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 138,410 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 138410 first appears in π at position 68,906 of the decimal expansion (the 68,906ordinal-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

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