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138,213

138,213 is a composite number, odd.

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.).

138,213 (one hundred thirty-eight thousand two hundred thirteen) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 3³ × 5,119. Written other ways, in hexadecimal, 0x21BE5.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
312,831
Recamán's sequence
a(492,401) = 138,213
Square (n²)
19,102,833,369
Cube (n³)
2,640,259,908,429,597
Divisor count
8
σ(n) — sum of divisors
204,800
φ(n) — Euler's totient
92,124
Sum of prime factors
5,128

Primality

Prime factorization: 3 3 × 5119

Nearest primes: 138,209 (−4) · 138,239 (+26)

Divisors & multiples

All divisors (8)
1 · 3 · 9 · 27 · 5119 · 15357 · 46071 · 138213
Aliquot sum (sum of proper divisors): 66,587
Factor pairs (a × b = 138,213)
1 × 138213
3 × 46071
9 × 15357
27 × 5119
First multiples
138,213 · 276,426 (double) · 414,639 · 552,852 · 691,065 · 829,278 · 967,491 · 1,105,704 · 1,243,917 · 1,382,130

Sums & aliquot sequence

As consecutive integers: 69,106 + 69,107 46,070 + 46,071 + 46,072 23,033 + 23,034 + 23,035 + 23,036 + 23,037 + 23,038 15,353 + 15,354 + … + 15,361
Aliquot sequence: 138,213 66,587 1 0 — terminates at zero

Continued fraction of √n

√138,213 = [371; (1, 3, 2, 1, 6, 5, 5, 185, 1, 2, 3, 1, 26, 1, 3, 2, 1, 185, 5, 5, 6, 1, 2, 3, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand two hundred thirteen
Ordinal
138213th
Binary
100001101111100101
Octal
415745
Hexadecimal
0x21BE5
Base64
Ahvl
One's complement
4,294,829,082 (32-bit)
Scientific notation
1.38213 × 10⁵
As a duration
138,213 s = 1 day, 14 hours, 23 minutes, 33 seconds
In other bases
ternary (3) 21000121000
quaternary (4) 201233211
quinary (5) 13410323
senary (6) 2543513
septenary (7) 1113645
nonary (9) 230530
undecimal (11) 94929
duodecimal (12) 67b99
tridecimal (13) 4abaa
tetradecimal (14) 38525
pentadecimal (15) 2ae43

As an angle

138,213° = 383 × 360° + 333°
333° ≈ 5.812 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλησιγʹ
Mayan (base 20)
𝋱·𝋥·𝋪·𝋭
Chinese
一十三萬八千二百一十三
Chinese (financial)
壹拾參萬捌仟貳佰壹拾參
In other modern scripts
Eastern Arabic ١٣٨٢١٣ Devanagari १३८२१३ Bengali ১৩৮২১৩ Tamil ௧௩௮௨௧௩ Thai ๑๓๘๒๑๓ Tibetan ༡༣༨༢༡༣ Khmer ១៣៨២១៣ Lao ໑໓໘໒໑໓ Burmese ၁၃၈၂၁၃

Also seen as

Unicode codepoint
𡯥
CJK Unified Ideograph-21Be5
U+21BE5
Other letter (Lo)

UTF-8 encoding: F0 A1 AF A5 (4 bytes).

Hex color
#021BE5
RGB(2, 27, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.229.

Address
0.2.27.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.229

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 138,213 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 138213 first appears in π at position 67,256 of the decimal expansion (the 67,256ordinal-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°.