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137,221

137,221 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.).

137,221 (one hundred thirty-seven thousand two hundred twenty-one) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 7 × 19,603. Written other ways, in hexadecimal, 0x21805.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
84
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
122,731
Square (n²)
18,829,602,841
Cube (n³)
2,583,816,931,444,861
Divisor count
4
σ(n) — sum of divisors
156,832
φ(n) — Euler's totient
117,612
Sum of prime factors
19,610

Primality

Prime factorization: 7 × 19603

Nearest primes: 137,219 (−2) · 137,239 (+18)

Divisors & multiples

All divisors (4)
1 · 7 · 19603 · 137221
Aliquot sum (sum of proper divisors): 19,611
Factor pairs (a × b = 137,221)
1 × 137221
7 × 19603
First multiples
137,221 · 274,442 (double) · 411,663 · 548,884 · 686,105 · 823,326 · 960,547 · 1,097,768 · 1,234,989 · 1,372,210

Sums & aliquot sequence

As consecutive integers: 68,610 + 68,611 19,600 + 19,601 + … + 19,606 9,795 + 9,796 + … + 9,808
Aliquot sequence: 137,221 19,611 8,729 1,831 1 0 — terminates at zero

Continued fraction of √n

√137,221 = [370; (2, 3, 3, 1, 4, 1, 7, 1, 147, 3, 2, 20, 6, 1, 1, 1, 2, 29, 3, 1, 7, 1, 3, 4, …)]

Representations

In words
one hundred thirty-seven thousand two hundred twenty-one
Ordinal
137221st
Binary
100001100000000101
Octal
414005
Hexadecimal
0x21805
Base64
AhgF
One's complement
4,294,830,074 (32-bit)
Scientific notation
1.37221 × 10⁵
As a duration
137,221 s = 1 day, 14 hours, 7 minutes, 1 second
In other bases
ternary (3) 20222020021
quaternary (4) 201200011
quinary (5) 13342341
senary (6) 2535141
septenary (7) 1111030
nonary (9) 228207
undecimal (11) 94107
duodecimal (12) 674b1
tridecimal (13) 4a5c6
tetradecimal (14) 38017
pentadecimal (15) 2a9d1

As an angle

137,221° = 381 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλζσκαʹ
Mayan (base 20)
𝋱·𝋣·𝋡·𝋡
Chinese
一十三萬七千二百二十一
Chinese (financial)
壹拾參萬柒仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٧٢٢١ Devanagari १३७२२१ Bengali ১৩৭২২১ Tamil ௧௩௭௨௨௧ Thai ๑๓๗๒๒๑ Tibetan ༡༣༧༢༢༡ Khmer ១៣៧២២១ Lao ໑໓໗໒໒໑ Burmese ၁၃၇၂၂၁

Also seen as

Unicode codepoint
𡠅
CJK Unified Ideograph-21805
U+21805
Other letter (Lo)

UTF-8 encoding: F0 A1 A0 85 (4 bytes).

Hex color
#021805
RGB(2, 24, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.5.

Address
0.2.24.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.5

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 137,221 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 137221 first appears in π at position 225,639 of the decimal expansion (the 225,639ordinal-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