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137,521

137,521 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.).

137,521 (one hundred thirty-seven thousand five hundred twenty-one) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 113 × 1,217. Written other ways, in hexadecimal, 0x21931.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
210
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
125,731
Recamán's sequence
a(37,698) = 137,521
Square (n²)
18,912,025,441
Cube (n³)
2,600,800,650,671,761
Divisor count
4
σ(n) — sum of divisors
138,852
φ(n) — Euler's totient
136,192
Sum of prime factors
1,330

Primality

Prime factorization: 113 × 1217

Nearest primes: 137,519 (−2) · 137,537 (+16)

Divisors & multiples

All divisors (4)
1 · 113 · 1217 · 137521
Aliquot sum (sum of proper divisors): 1,331
Factor pairs (a × b = 137,521)
1 × 137521
113 × 1217
First multiples
137,521 · 275,042 (double) · 412,563 · 550,084 · 687,605 · 825,126 · 962,647 · 1,100,168 · 1,237,689 · 1,375,210

Sums & aliquot sequence

As a sum of two squares: 89² + 360² = 136² + 345²
As consecutive integers: 68,760 + 68,761 1,161 + 1,162 + … + 1,273 496 + 497 + … + 721
Aliquot sequence: 137,521 1,331 133 27 13 1 0 — terminates at zero

Continued fraction of √n

√137,521 = [370; (1, 5, 5, 2, 48, 1, 91, 1, 2, 1, 2, 2, 1, 13, 1, 5, 4, 46, 8, 1, 2, 2, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand five hundred twenty-one
Ordinal
137521st
Binary
100001100100110001
Octal
414461
Hexadecimal
0x21931
Base64
Ahkx
One's complement
4,294,829,774 (32-bit)
Scientific notation
1.37521 × 10⁵
As a duration
137,521 s = 1 day, 14 hours, 12 minutes, 1 second
In other bases
ternary (3) 20222122101
quaternary (4) 201210301
quinary (5) 13400041
senary (6) 2540401
septenary (7) 1111636
nonary (9) 228571
undecimal (11) 9435a
duodecimal (12) 67701
tridecimal (13) 4a797
tetradecimal (14) 3818d
pentadecimal (15) 2ab31

As an angle

137,521° = 382 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλζφκαʹ
Mayan (base 20)
𝋱·𝋣·𝋰·𝋡
Chinese
一十三萬七千五百二十一
Chinese (financial)
壹拾參萬柒仟伍佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٧٥٢١ Devanagari १३७५२१ Bengali ১৩৭৫২১ Tamil ௧௩௭௫௨௧ Thai ๑๓๗๕๒๑ Tibetan ༡༣༧༥༢༡ Khmer ១៣៧៥២១ Lao ໑໓໗໕໒໑ Burmese ၁၃၇၅၂၁

Also seen as

Unicode codepoint
𡤱
CJK Unified Ideograph-21931
U+21931
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 B1 (4 bytes).

Hex color
#021931
RGB(2, 25, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.49.

Address
0.2.25.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.49

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 137,521 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 137521 first appears in π at position 211,090 of the decimal expansion (the 211,090ordinal-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.

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