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137,513

137,513 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.).

137,513 (one hundred thirty-seven thousand five hundred thirteen) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 17 × 8,089. Written other ways, in hexadecimal, 0x21929.

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
20
Digit product
315
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
315,731
Recamán's sequence
a(37,714) = 137,513
Square (n²)
18,909,825,169
Cube (n³)
2,600,346,788,464,697
Divisor count
4
σ(n) — sum of divisors
145,620
φ(n) — Euler's totient
129,408
Sum of prime factors
8,106

Primality

Prime factorization: 17 × 8089

Nearest primes: 137,507 (−6) · 137,519 (+6)

Divisors & multiples

All divisors (4)
1 · 17 · 8089 · 137513
Aliquot sum (sum of proper divisors): 8,107
Factor pairs (a × b = 137,513)
1 × 137513
17 × 8089
First multiples
137,513 · 275,026 (double) · 412,539 · 550,052 · 687,565 · 825,078 · 962,591 · 1,100,104 · 1,237,617 · 1,375,130

Sums & aliquot sequence

As a sum of two squares: 173² + 328² = 208² + 307²
As consecutive integers: 68,756 + 68,757 8,081 + 8,082 + … + 8,097 4,028 + 4,029 + … + 4,061
Aliquot sequence: 137,513 8,107 937 1 0 — terminates at zero

Continued fraction of √n

√137,513 = [370; (1, 4, 1, 3, 1, 8, 7, 56, 1, 10, 11, 2, 92, 4, 2, 1, 1, 1, 5, 4, 1, 2, 1, 3, …)]

Representations

In words
one hundred thirty-seven thousand five hundred thirteen
Ordinal
137513th
Binary
100001100100101001
Octal
414451
Hexadecimal
0x21929
Base64
Ahkp
One's complement
4,294,829,782 (32-bit)
Scientific notation
1.37513 × 10⁵
As a duration
137,513 s = 1 day, 14 hours, 11 minutes, 53 seconds
In other bases
ternary (3) 20222122002
quaternary (4) 201210221
quinary (5) 13400023
senary (6) 2540345
septenary (7) 1111625
nonary (9) 228562
undecimal (11) 94352
duodecimal (12) 676b5
tridecimal (13) 4a78c
tetradecimal (14) 38185
pentadecimal (15) 2ab28

As an angle

137,513° = 381 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζφιγʹ
Mayan (base 20)
𝋱·𝋣·𝋯·𝋭
Chinese
一十三萬七千五百一十三
Chinese (financial)
壹拾參萬柒仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١٣٧٥١٣ Devanagari १३७५१३ Bengali ১৩৭৫১৩ Tamil ௧௩௭௫௧௩ Thai ๑๓๗๕๑๓ Tibetan ༡༣༧༥༡༣ Khmer ១៣៧៥១៣ Lao ໑໓໗໕໑໓ Burmese ၁၃၇၅၁၃

Also seen as

Unicode codepoint
𡤩
CJK Unified Ideograph-21929
U+21929
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 A9 (4 bytes).

Hex color
#021929
RGB(2, 25, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.41.

Address
0.2.25.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.41

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 137,513 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 137513 first appears in π at position 203,514 of the decimal expansion (the 203,514ordinal-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.