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137,313

137,313 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.).

137,313 (one hundred thirty-seven thousand three hundred thirteen) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3² × 11 × 19 × 73. Written other ways, in hexadecimal, 0x21861.

Arithmetic Number Binary Palindrome Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
189
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
313,731
Recamán's sequence
a(37,430) = 137,313
Square (n²)
18,854,859,969
Cube (n³)
2,589,017,386,923,297
Divisor count
24
σ(n) — sum of divisors
230,880
φ(n) — Euler's totient
77,760
Sum of prime factors
109

Primality

Prime factorization: 3 2 × 11 × 19 × 73

Nearest primes: 137,303 (−10) · 137,321 (+8)

Divisors & multiples

All divisors (24)
1 · 3 · 9 · 11 · 19 · 33 · 57 · 73 · 99 · 171 · 209 · 219 · 627 · 657 · 803 · 1387 · 1881 · 2409 · 4161 · 7227 · 12483 · 15257 · 45771 · 137313
Aliquot sum (sum of proper divisors): 93,567
Factor pairs (a × b = 137,313)
1 × 137313
3 × 45771
9 × 15257
11 × 12483
19 × 7227
33 × 4161
57 × 2409
73 × 1881
99 × 1387
171 × 803
209 × 657
219 × 627
First multiples
137,313 · 274,626 (double) · 411,939 · 549,252 · 686,565 · 823,878 · 961,191 · 1,098,504 · 1,235,817 · 1,373,130

Sums & aliquot sequence

As consecutive integers: 68,656 + 68,657 45,770 + 45,771 + 45,772 22,883 + 22,884 + 22,885 + 22,886 + 22,887 + 22,888 15,253 + 15,254 + … + 15,261
Aliquot sequence: 137,313 93,567 31,193 1 0 — terminates at zero

Continued fraction of √n

√137,313 = [370; (1, 1, 3, 1, 5, 82, 5, 1, 3, 1, 1, 740)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred thirteen
Ordinal
137313th
Binary
100001100001100001
Octal
414141
Hexadecimal
0x21861
Base64
Ahhh
One's complement
4,294,829,982 (32-bit)
Scientific notation
1.37313 × 10⁵
As a duration
137,313 s = 1 day, 14 hours, 8 minutes, 33 seconds
In other bases
ternary (3) 20222100200
quaternary (4) 201201201
quinary (5) 13343223
senary (6) 2535413
septenary (7) 1111221
nonary (9) 228320
undecimal (11) 94190
duodecimal (12) 67569
tridecimal (13) 4a667
tetradecimal (14) 38081
pentadecimal (15) 2aa43
Palindromic in base 2

As an angle

137,313° = 381 × 360° + 153°
153° ≈ 2.67 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτιγʹ
Mayan (base 20)
𝋱·𝋣·𝋥·𝋭
Chinese
一十三萬七千三百一十三
Chinese (financial)
壹拾參萬柒仟參佰壹拾參
In other modern scripts
Eastern Arabic ١٣٧٣١٣ Devanagari १३७३१३ Bengali ১৩৭৩১৩ Tamil ௧௩௭௩௧௩ Thai ๑๓๗๓๑๓ Tibetan ༡༣༧༣༡༣ Khmer ១៣៧៣១៣ Lao ໑໓໗໓໑໓ Burmese ၁၃၇၃၁၃

Also seen as

Unicode codepoint
𡡡
CJK Unified Ideograph-21861
U+21861
Other letter (Lo)

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

Hex color
#021861
RGB(2, 24, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.97.

Address
0.2.24.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.97

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 137,313 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 137313 first appears in π at position 779,185 of the decimal expansion (the 779,185ordinal-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°.