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137,345

137,345 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.).

137,345 (one hundred thirty-seven thousand three hundred forty-five) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 5 × 13 × 2,113. Written other ways, in hexadecimal, 0x21881.

Arithmetic Number Cube-Free Deficient Number Happy Number Magic Constant Odious Number Pernicious Number Recamán's Sequence Self Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,260
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
543,731
Recamán's sequence
a(37,494) = 137,345
Square (n²)
18,863,649,025
Cube (n³)
2,590,827,875,338,625
Divisor count
8
σ(n) — sum of divisors
177,576
φ(n) — Euler's totient
101,376
Sum of prime factors
2,131

Primality

Prime factorization: 5 × 13 × 2113

Nearest primes: 137,341 (−4) · 137,353 (+8)

Divisors & multiples

All divisors (8)
1 · 5 · 13 · 65 · 2113 · 10565 · 27469 · 137345
Aliquot sum (sum of proper divisors): 40,231
Factor pairs (a × b = 137,345)
1 × 137345
5 × 27469
13 × 10565
65 × 2113
First multiples
137,345 · 274,690 (double) · 412,035 · 549,380 · 686,725 · 824,070 · 961,415 · 1,098,760 · 1,236,105 · 1,373,450

Sums & aliquot sequence

As a sum of two squares: 92² + 359² = 103² + 356² = 223² + 296² = 232² + 289²
As consecutive integers: 68,672 + 68,673 27,467 + 27,468 + 27,469 + 27,470 + 27,471 13,730 + 13,731 + … + 13,739 10,559 + 10,560 + … + 10,571
Aliquot sequence: 137,345 40,231 1 0 — terminates at zero

Continued fraction of √n

√137,345 = [370; (1, 1, 1, 1, 45, 1, 2, 1, 1, 1, 3, 11, 3, 3, 1, 3, 2, 1, 2, 4, 1, 24, 1, 2, …)]

Period length 55 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred forty-five
Ordinal
137345th
Binary
100001100010000001
Octal
414201
Hexadecimal
0x21881
Base64
AhiB
One's complement
4,294,829,950 (32-bit)
Scientific notation
1.37345 × 10⁵
As a duration
137,345 s = 1 day, 14 hours, 9 minutes, 5 seconds
In other bases
ternary (3) 20222101212
quaternary (4) 201202001
quinary (5) 13343340
senary (6) 2535505
septenary (7) 1111265
nonary (9) 228355
undecimal (11) 9420a
duodecimal (12) 67595
tridecimal (13) 4a690
tetradecimal (14) 380a5
pentadecimal (15) 2aa65

As an angle

137,345° = 381 × 360° + 185°
185° ≈ 3.229 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτμεʹ
Mayan (base 20)
𝋱·𝋣·𝋧·𝋥
Chinese
一十三萬七千三百四十五
Chinese (financial)
壹拾參萬柒仟參佰肆拾伍
In other modern scripts
Eastern Arabic ١٣٧٣٤٥ Devanagari १३७३४५ Bengali ১৩৭৩৪৫ Tamil ௧௩௭௩௪௫ Thai ๑๓๗๓๔๕ Tibetan ༡༣༧༣༤༥ Khmer ១៣៧៣៤៥ Lao ໑໓໗໓໔໕ Burmese ၁၃၇၃၄၅

Also seen as

Unicode codepoint
𡢁
CJK Unified Ideograph-21881
U+21881
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 81 (4 bytes).

Hex color
#021881
RGB(2, 24, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.129.

Address
0.2.24.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.129

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 137,345 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 137345 first appears in π at position 674,969 of the decimal expansion (the 674,969ordinal-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.