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138,125

138,125 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.).

138,125 (one hundred thirty-eight thousand one hundred twenty-five) is an odd 6-digit number. It is a composite number with 20 divisors, and factors as 5⁴ × 13 × 17. Written other ways, in hexadecimal, 0x21B8D.

Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
240
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
521,831
Recamán's sequence
a(492,577) = 138,125
Square (n²)
19,078,515,625
Cube (n³)
2,635,219,970,703,125
Divisor count
20
σ(n) — sum of divisors
196,812
φ(n) — Euler's totient
96,000
Sum of prime factors
50

Primality

Prime factorization: 5 4 × 13 × 17

Nearest primes: 138,113 (−12) · 138,139 (+14)

Divisors & multiples

All divisors (20)
1 · 5 · 13 · 17 · 25 · 65 · 85 · 125 · 221 · 325 · 425 · 625 · 1105 · 1625 · 2125 · 5525 · 8125 · 10625 · 27625 · 138125
Aliquot sum (sum of proper divisors): 58,687
Factor pairs (a × b = 138,125)
1 × 138125
5 × 27625
13 × 10625
17 × 8125
25 × 5525
65 × 2125
85 × 1625
125 × 1105
221 × 625
325 × 425
First multiples
138,125 · 276,250 (double) · 414,375 · 552,500 · 690,625 · 828,750 · 966,875 · 1,105,000 · 1,243,125 · 1,381,250

Sums & aliquot sequence

As a sum of two squares: 22² + 371² = 35² + 370² = 70² + 365² = 110² + 355²
As consecutive integers: 69,062 + 69,063 27,623 + 27,624 + 27,625 + 27,626 + 27,627 13,808 + 13,809 + … + 13,817 10,619 + 10,620 + … + 10,631
Aliquot sequence: 138,125 58,687 1 0 — terminates at zero

Continued fraction of √n

√138,125 = [371; (1, 1, 1, 6, 1, 3, 3, 1, 1, 6, 1, 6, 2, 29, 3, 1, 3, 7, 6, 185, 1, 1, 1, 29, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred twenty-five
Ordinal
138125th
Binary
100001101110001101
Octal
415615
Hexadecimal
0x21B8D
Base64
AhuN
One's complement
4,294,829,170 (32-bit)
Scientific notation
1.38125 × 10⁵
As a duration
138,125 s = 1 day, 14 hours, 22 minutes, 5 seconds
In other bases
ternary (3) 21000110202
quaternary (4) 201232031
quinary (5) 13410000
senary (6) 2543245
septenary (7) 1113461
nonary (9) 230422
undecimal (11) 94859
duodecimal (12) 67b25
tridecimal (13) 4ab40
tetradecimal (14) 384a1
pentadecimal (15) 2add5

As an angle

138,125° = 383 × 360° + 245°
245° ≈ 4.276 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρκεʹ
Mayan (base 20)
𝋱·𝋥·𝋦·𝋥
Chinese
一十三萬八千一百二十五
Chinese (financial)
壹拾參萬捌仟壹佰貳拾伍
In other modern scripts
Eastern Arabic ١٣٨١٢٥ Devanagari १३८१२५ Bengali ১৩৮১২৫ Tamil ௧௩௮௧௨௫ Thai ๑๓๘๑๒๕ Tibetan ༡༣༨༡༢༥ Khmer ១៣៨១២៥ Lao ໑໓໘໑໒໕ Burmese ၁၃၈၁၂၅

Also seen as

Unicode codepoint
𡮍
CJK Unified Ideograph-21B8D
U+21B8D
Other letter (Lo)

UTF-8 encoding: F0 A1 AE 8D (4 bytes).

Hex color
#021B8D
RGB(2, 27, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.141.

Address
0.2.27.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.141

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 138,125 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 138125 first appears in π at position 84,490 of the decimal expansion (the 84,490ordinal-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.