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138,225

138,225 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.).

138,225 (one hundred thirty-eight thousand two hundred twenty-five) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3 × 5² × 19 × 97. Written other ways, in hexadecimal, 0x21BF1.

Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
21
Digit product
480
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
522,831
Recamán's sequence
a(492,377) = 138,225
Square (n²)
19,106,150,625
Cube (n³)
2,640,947,670,140,625
Divisor count
24
σ(n) — sum of divisors
243,040
φ(n) — Euler's totient
69,120
Sum of prime factors
129

Primality

Prime factorization: 3 × 5 2 × 19 × 97

Nearest primes: 138,209 (−16) · 138,239 (+14)

Divisors & multiples

All divisors (24)
1 · 3 · 5 · 15 · 19 · 25 · 57 · 75 · 95 · 97 · 285 · 291 · 475 · 485 · 1425 · 1455 · 1843 · 2425 · 5529 · 7275 · 9215 · 27645 · 46075 · 138225
Aliquot sum (sum of proper divisors): 104,815
Factor pairs (a × b = 138,225)
1 × 138225
3 × 46075
5 × 27645
15 × 9215
19 × 7275
25 × 5529
57 × 2425
75 × 1843
95 × 1455
97 × 1425
285 × 485
291 × 475
First multiples
138,225 · 276,450 (double) · 414,675 · 552,900 · 691,125 · 829,350 · 967,575 · 1,105,800 · 1,244,025 · 1,382,250

Sums & aliquot sequence

As consecutive integers: 69,112 + 69,113 46,074 + 46,075 + 46,076 27,643 + 27,644 + 27,645 + 27,646 + 27,647 23,035 + 23,036 + 23,037 + 23,038 + 23,039 + 23,040
Aliquot sequence: 138,225 104,815 20,969 1,627 1 0 — terminates at zero

Continued fraction of √n

√138,225 = [371; (1, 3, 1, 2, 9, 1, 1, 3, 1, 6, 1, 28, 1, 6, 1, 3, 1, 1, 9, 2, 1, 3, 1, 742)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand two hundred twenty-five
Ordinal
138225th
Binary
100001101111110001
Octal
415761
Hexadecimal
0x21BF1
Base64
Ahvx
One's complement
4,294,829,070 (32-bit)
Scientific notation
1.38225 × 10⁵
As a duration
138,225 s = 1 day, 14 hours, 23 minutes, 45 seconds
In other bases
ternary (3) 21000121110
quaternary (4) 201233301
quinary (5) 13410400
senary (6) 2543533
septenary (7) 1113663
nonary (9) 230543
undecimal (11) 9493a
duodecimal (12) 67ba9
tridecimal (13) 4abb9
tetradecimal (14) 38533
pentadecimal (15) 2ae50

As an angle

138,225° = 383 × 360° + 345°
345° ≈ 6.021 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλησκεʹ
Mayan (base 20)
𝋱·𝋥·𝋫·𝋥
Chinese
一十三萬八千二百二十五
Chinese (financial)
壹拾參萬捌仟貳佰貳拾伍
In other modern scripts
Eastern Arabic ١٣٨٢٢٥ Devanagari १३८२२५ Bengali ১৩৮২২৫ Tamil ௧௩௮௨௨௫ Thai ๑๓๘๒๒๕ Tibetan ༡༣༨༢༢༥ Khmer ១៣៨២២៥ Lao ໑໓໘໒໒໕ Burmese ၁၃၈၂၂၅

Also seen as

Unicode codepoint
𡯱
CJK Unified Ideograph-21Bf1
U+21BF1
Other letter (Lo)

UTF-8 encoding: F0 A1 AF B1 (4 bytes).

Hex color
#021BF1
RGB(2, 27, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.241.

Address
0.2.27.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.241

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 138,225 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

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