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138,537

138,537 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.).

138,537 (one hundred thirty-eight thousand five hundred thirty-seven) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3³ × 7 × 733. Written other ways, in hexadecimal, 0x21D29.

Arithmetic Number Deficient Number Evil Number Harshad / Niven Recamán's Sequence Self Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
27
Digit product
2,520
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
735,831
Recamán's sequence
a(491,753) = 138,537
Square (n²)
19,192,500,369
Cube (n³)
2,658,871,423,620,153
Divisor count
16
σ(n) — sum of divisors
234,880
φ(n) — Euler's totient
79,056
Sum of prime factors
749

Primality

Prime factorization: 3 3 × 7 × 733

Nearest primes: 138,517 (−20) · 138,547 (+10)

Divisors & multiples

All divisors (16)
1 · 3 · 7 · 9 · 21 · 27 · 63 · 189 · 733 · 2199 · 5131 · 6597 · 15393 · 19791 · 46179 · 138537
Aliquot sum (sum of proper divisors): 96,343
Factor pairs (a × b = 138,537)
1 × 138537
3 × 46179
7 × 19791
9 × 15393
21 × 6597
27 × 5131
63 × 2199
189 × 733
First multiples
138,537 · 277,074 (double) · 415,611 · 554,148 · 692,685 · 831,222 · 969,759 · 1,108,296 · 1,246,833 · 1,385,370

Sums & aliquot sequence

As consecutive integers: 69,268 + 69,269 46,178 + 46,179 + 46,180 23,087 + 23,088 + 23,089 + 23,090 + 23,091 + 23,092 19,788 + 19,789 + … + 19,794
Aliquot sequence: 138,537 96,343 7,425 7,455 6,369 2,943 1,457 79 1 0 — terminates at zero

Continued fraction of √n

√138,537 = [372; (4, 1, 6, 2, 1, 3, 1, 7, 1, 2, 17, 1, 4, 3, 1, 5, 2, 1, 1, 3, 2, 4, 1, 2, …)]

Representations

In words
one hundred thirty-eight thousand five hundred thirty-seven
Ordinal
138537th
Binary
100001110100101001
Octal
416451
Hexadecimal
0x21D29
Base64
Ah0p
One's complement
4,294,828,758 (32-bit)
Scientific notation
1.38537 × 10⁵
As a duration
138,537 s = 1 day, 14 hours, 28 minutes, 57 seconds
In other bases
ternary (3) 21001001000
quaternary (4) 201310221
quinary (5) 13413122
senary (6) 2545213
septenary (7) 1114620
nonary (9) 231030
undecimal (11) 950a3
duodecimal (12) 68209
tridecimal (13) 4b099
tetradecimal (14) 386b7
pentadecimal (15) 2b0ac

As an angle

138,537° = 384 × 360° + 297°
297° ≈ 5.184 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληφλζʹ
Mayan (base 20)
𝋱·𝋦·𝋦·𝋱
Chinese
一十三萬八千五百三十七
Chinese (financial)
壹拾參萬捌仟伍佰參拾柒
In other modern scripts
Eastern Arabic ١٣٨٥٣٧ Devanagari १३८५३७ Bengali ১৩৮৫৩৭ Tamil ௧௩௮௫௩௭ Thai ๑๓๘๕๓๗ Tibetan ༡༣༨༥༣༧ Khmer ១៣៨៥៣៧ Lao ໑໓໘໕໓໗ Burmese ၁၃၈၅၃၇

Also seen as

Unicode codepoint
𡴩
CJK Unified Ideograph-21D29
U+21D29
Other letter (Lo)

UTF-8 encoding: F0 A1 B4 A9 (4 bytes).

Hex color
#021D29
RGB(2, 29, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.41.

Address
0.2.29.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.41

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 138,537 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 138537 first appears in π at position 55,143 of the decimal expansion (the 55,143ordinal-suffix:rd 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°.