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137,729

137,729 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.).

137,729 (one hundred thirty-seven thousand seven hundred twenty-nine) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 43 × 3,203. Written other ways, in hexadecimal, 0x21A01.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
2,646
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
927,731
Recamán's sequence
a(493,369) = 137,729
Square (n²)
18,969,277,441
Cube (n³)
2,612,619,612,671,489
Divisor count
4
σ(n) — sum of divisors
140,976
φ(n) — Euler's totient
134,484
Sum of prime factors
3,246

Primality

Prime factorization: 43 × 3203

Nearest primes: 137,723 (−6) · 137,737 (+8)

Divisors & multiples

All divisors (4)
1 · 43 · 3203 · 137729
Aliquot sum (sum of proper divisors): 3,247
Factor pairs (a × b = 137,729)
1 × 137729
43 × 3203
First multiples
137,729 · 275,458 (double) · 413,187 · 550,916 · 688,645 · 826,374 · 964,103 · 1,101,832 · 1,239,561 · 1,377,290

Sums & aliquot sequence

As consecutive integers: 68,864 + 68,865 3,182 + 3,183 + … + 3,224 1,559 + 1,560 + … + 1,644
Aliquot sequence: 137,729 3,247 209 31 1 0 — terminates at zero

Continued fraction of √n

√137,729 = [371; (8, 2, 3, 4, 6, 2, 1, 1, 5, 1, 38, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 16, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand seven hundred twenty-nine
Ordinal
137729th
Binary
100001101000000001
Octal
415001
Hexadecimal
0x21A01
Base64
AhoB
One's complement
4,294,829,566 (32-bit)
Scientific notation
1.37729 × 10⁵
As a duration
137,729 s = 1 day, 14 hours, 15 minutes, 29 seconds
In other bases
ternary (3) 20222221002
quaternary (4) 201220001
quinary (5) 13401404
senary (6) 2541345
septenary (7) 1112354
nonary (9) 228832
undecimal (11) 94529
duodecimal (12) 67855
tridecimal (13) 4a8c7
tetradecimal (14) 3829b
pentadecimal (15) 2ac1e

As an angle

137,729° = 382 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζψκθʹ
Mayan (base 20)
𝋱·𝋤·𝋦·𝋩
Chinese
一十三萬七千七百二十九
Chinese (financial)
壹拾參萬柒仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ١٣٧٧٢٩ Devanagari १३७७२९ Bengali ১৩৭৭২৯ Tamil ௧௩௭௭௨௯ Thai ๑๓๗๗๒๙ Tibetan ༡༣༧༧༢༩ Khmer ១៣៧៧២៩ Lao ໑໓໗໗໒໙ Burmese ၁၃၇၇၂၉

Also seen as

Unicode codepoint
𡨁
CJK Unified Ideograph-21A01
U+21A01
Other letter (Lo)

UTF-8 encoding: F0 A1 A8 81 (4 bytes).

Hex color
#021A01
RGB(2, 26, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.1.

Address
0.2.26.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.1

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 137,729 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 137729 first appears in π at position 510,630 of the decimal expansion (the 510,630ordinal-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.