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138,729

138,729 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.).

138,729 (one hundred thirty-eight thousand seven hundred twenty-nine) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 3 × 131 × 353. Written other ways, in hexadecimal, 0x21DE9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
30
Digit product
3,024
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
927,831
Recamán's sequence
a(491,369) = 138,729
Square (n²)
19,245,735,441
Cube (n³)
2,669,941,631,994,489
Divisor count
8
σ(n) — sum of divisors
186,912
φ(n) — Euler's totient
91,520
Sum of prime factors
487

Primality

Prime factorization: 3 × 131 × 353

Nearest primes: 138,727 (−2) · 138,731 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 131 · 353 · 393 · 1059 · 46243 · 138729
Aliquot sum (sum of proper divisors): 48,183
Factor pairs (a × b = 138,729)
1 × 138729
3 × 46243
131 × 1059
353 × 393
First multiples
138,729 · 277,458 (double) · 416,187 · 554,916 · 693,645 · 832,374 · 971,103 · 1,109,832 · 1,248,561 · 1,387,290

Sums & aliquot sequence

As consecutive integers: 69,364 + 69,365 46,242 + 46,243 + 46,244 23,119 + 23,120 + 23,121 + 23,122 + 23,123 + 23,124 994 + 995 + … + 1,124
Aliquot sequence: 138,729 48,183 16,065 18,495 14,625 13,767 6,057 2,705 547 1 0 — terminates at zero

Continued fraction of √n

√138,729 = [372; (2, 6, 2, 1, 92, 2, 3, 4, 2, 1, 1, 45, 1, 28, 1, 4, 1, 1, 22, 1, 2, 1, 2, 1, …)]

Representations

In words
one hundred thirty-eight thousand seven hundred twenty-nine
Ordinal
138729th
Binary
100001110111101001
Octal
416751
Hexadecimal
0x21DE9
Base64
Ah3p
One's complement
4,294,828,566 (32-bit)
Scientific notation
1.38729 × 10⁵
As a duration
138,729 s = 1 day, 14 hours, 32 minutes, 9 seconds
In other bases
ternary (3) 21001022010
quaternary (4) 201313221
quinary (5) 13414404
senary (6) 2550133
septenary (7) 1115313
nonary (9) 231263
undecimal (11) 95258
duodecimal (12) 68349
tridecimal (13) 4b1b6
tetradecimal (14) 387b3
pentadecimal (15) 2b189

As an angle

138,729° = 385 × 360° + 129°
129° ≈ 2.251 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληψκθʹ
Mayan (base 20)
𝋱·𝋦·𝋰·𝋩
Chinese
一十三萬八千七百二十九
Chinese (financial)
壹拾參萬捌仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ١٣٨٧٢٩ Devanagari १३८७२९ Bengali ১৩৮৭২৯ Tamil ௧௩௮௭௨௯ Thai ๑๓๘๗๒๙ Tibetan ༡༣༨༧༢༩ Khmer ១៣៨៧២៩ Lao ໑໓໘໗໒໙ Burmese ၁၃၈၇၂၉

Also seen as

Unicode codepoint
𡷩
CJK Unified Ideograph-21De9
U+21DE9
Other letter (Lo)

UTF-8 encoding: F0 A1 B7 A9 (4 bytes).

Hex color
#021DE9
RGB(2, 29, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.233.

Address
0.2.29.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.233

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 138,729 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 138729 first appears in π at position 673,340 of the decimal expansion (the 673,340ordinal-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°.