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137,361

137,361 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.).

137,361 (one hundred thirty-seven thousand three hundred sixty-one) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3 × 7 × 31 × 211. Written other ways, in hexadecimal, 0x21891.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
21
Digit product
378
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
163,731
Recamán's sequence
a(37,526) = 137,361
Square (n²)
18,868,044,321
Cube (n³)
2,591,733,435,976,881
Divisor count
16
σ(n) — sum of divisors
217,088
φ(n) — Euler's totient
75,600
Sum of prime factors
252

Primality

Prime factorization: 3 × 7 × 31 × 211

Nearest primes: 137,359 (−2) · 137,363 (+2)

Divisors & multiples

All divisors (16)
1 · 3 · 7 · 21 · 31 · 93 · 211 · 217 · 633 · 651 · 1477 · 4431 · 6541 · 19623 · 45787 · 137361
Aliquot sum (sum of proper divisors): 79,727
Factor pairs (a × b = 137,361)
1 × 137361
3 × 45787
7 × 19623
21 × 6541
31 × 4431
93 × 1477
211 × 651
217 × 633
First multiples
137,361 · 274,722 (double) · 412,083 · 549,444 · 686,805 · 824,166 · 961,527 · 1,098,888 · 1,236,249 · 1,373,610

Sums & aliquot sequence

As consecutive integers: 68,680 + 68,681 45,786 + 45,787 + 45,788 22,891 + 22,892 + 22,893 + 22,894 + 22,895 + 22,896 19,620 + 19,621 + … + 19,626
Aliquot sequence: 137,361 79,727 1,369 38 22 14 10 8 7 1 0 — terminates at zero

Continued fraction of √n

√137,361 = [370; (1, 1, 1, 1, 1, 5, 1, 1, 246, 1, 1, 5, 1, 1, 1, 1, 1, 740)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred sixty-one
Ordinal
137361st
Binary
100001100010010001
Octal
414221
Hexadecimal
0x21891
Base64
AhiR
One's complement
4,294,829,934 (32-bit)
Scientific notation
1.37361 × 10⁵
As a duration
137,361 s = 1 day, 14 hours, 9 minutes, 21 seconds
In other bases
ternary (3) 20222102110
quaternary (4) 201202101
quinary (5) 13343421
senary (6) 2535533
septenary (7) 1111320
nonary (9) 228373
undecimal (11) 94224
duodecimal (12) 675a9
tridecimal (13) 4a6a3
tetradecimal (14) 380b7
pentadecimal (15) 2aa76

As an angle

137,361° = 381 × 360° + 201°
201° ≈ 3.508 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλζτξαʹ
Mayan (base 20)
𝋱·𝋣·𝋨·𝋡
Chinese
一十三萬七千三百六十一
Chinese (financial)
壹拾參萬柒仟參佰陸拾壹
In other modern scripts
Eastern Arabic ١٣٧٣٦١ Devanagari १३७३६१ Bengali ১৩৭৩৬১ Tamil ௧௩௭௩௬௧ Thai ๑๓๗๓๖๑ Tibetan ༡༣༧༣༦༡ Khmer ១៣៧៣៦១ Lao ໑໓໗໓໖໑ Burmese ၁၃၇၃၆၁

Also seen as

Unicode codepoint
𡢑
CJK Unified Ideograph-21891
U+21891
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 91 (4 bytes).

Hex color
#021891
RGB(2, 24, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.145.

Address
0.2.24.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.145

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 137,361 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.