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137,369

137,369 is a prime, 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.).

137,369 (one hundred thirty-seven thousand three hundred sixty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21899.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,402
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
963,731
Recamán's sequence
a(37,542) = 137,369
Square (n²)
18,870,242,161
Cube (n³)
2,592,186,295,414,409
Divisor count
2
σ(n) — sum of divisors
137,370
φ(n) — Euler's totient
137,368

Primality

137,369 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137369
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,369)
1 × 137369
First multiples
137,369 · 274,738 (double) · 412,107 · 549,476 · 686,845 · 824,214 · 961,583 · 1,098,952 · 1,236,321 · 1,373,690

Sums & aliquot sequence

As a sum of two squares: 187² + 320²
As consecutive integers: 68,684 + 68,685

Continued fraction of √n

√137,369 = [370; (1, 1, 1, 2, 1, 1, 1, 11, 1, 1, 12, 1, 22, 4, 5, 4, 1, 11, 1, 3, 9, 2, 1, 2, …)]

Representations

In words
one hundred thirty-seven thousand three hundred sixty-nine
Ordinal
137369th
Binary
100001100010011001
Octal
414231
Hexadecimal
0x21899
Base64
AhiZ
One's complement
4,294,829,926 (32-bit)
Scientific notation
1.37369 × 10⁵
As a duration
137,369 s = 1 day, 14 hours, 9 minutes, 29 seconds
In other bases
ternary (3) 20222102202
quaternary (4) 201202121
quinary (5) 13343434
senary (6) 2535545
septenary (7) 1111331
nonary (9) 228382
undecimal (11) 94231
duodecimal (12) 675b5
tridecimal (13) 4a6ab
tetradecimal (14) 380c1
pentadecimal (15) 2aa7e

As an angle

137,369° = 381 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτξθʹ
Mayan (base 20)
𝋱·𝋣·𝋨·𝋩
Chinese
一十三萬七千三百六十九
Chinese (financial)
壹拾參萬柒仟參佰陸拾玖
In other modern scripts
Eastern Arabic ١٣٧٣٦٩ Devanagari १३७३६९ Bengali ১৩৭৩৬৯ Tamil ௧௩௭௩௬௯ Thai ๑๓๗๓๖๙ Tibetan ༡༣༧༣༦༩ Khmer ១៣៧៣៦៩ Lao ໑໓໗໓໖໙ Burmese ၁၃၇၃၆၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137363.

Unicode codepoint
𡢙
CJK Unified Ideograph-21899
U+21899
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 99 (4 bytes).

Hex color
#021899
RGB(2, 24, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.153.

Address
0.2.24.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.153

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 137,369 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 137369 first appears in π at position 10,886 of the decimal expansion (the 10,886ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.