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137,801

137,801 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.).

137,801 (one hundred thirty-seven thousand eight hundred one) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 41 × 3,361. Written other ways, in hexadecimal, 0x21A49.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
108,731
Recamán's sequence
a(493,225) = 137,801
Square (n²)
18,989,115,601
Cube (n³)
2,616,719,118,933,401
Divisor count
4
σ(n) — sum of divisors
141,204
φ(n) — Euler's totient
134,400
Sum of prime factors
3,402

Primality

Prime factorization: 41 × 3361

Nearest primes: 137,791 (−10) · 137,803 (+2)

Divisors & multiples

All divisors (4)
1 · 41 · 3361 · 137801
Aliquot sum (sum of proper divisors): 3,403
Factor pairs (a × b = 137,801)
1 × 137801
41 × 3361
First multiples
137,801 · 275,602 (double) · 413,403 · 551,204 · 689,005 · 826,806 · 964,607 · 1,102,408 · 1,240,209 · 1,378,010

Sums & aliquot sequence

As a sum of two squares: 149² + 340² = 220² + 299²
As consecutive integers: 68,900 + 68,901 3,341 + 3,342 + … + 3,381 1,640 + 1,641 + … + 1,721
Aliquot sequence: 137,801 3,403 125 31 1 0 — terminates at zero

Continued fraction of √n

√137,801 = [371; (4, 1, 1, 1, 3, 3, 18, 3, 1, 10, 1, 5, 1, 1, 5, 1, 1, 2, 12, 5, 3, 1, 5, 5, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred one
Ordinal
137801st
Binary
100001101001001001
Octal
415111
Hexadecimal
0x21A49
Base64
AhpJ
One's complement
4,294,829,494 (32-bit)
Scientific notation
1.37801 × 10⁵
As a duration
137,801 s = 1 day, 14 hours, 16 minutes, 41 seconds
In other bases
ternary (3) 21000000202
quaternary (4) 201221021
quinary (5) 13402201
senary (6) 2541545
septenary (7) 1112516
nonary (9) 230022
undecimal (11) 94594
duodecimal (12) 678b5
tridecimal (13) 4a951
tetradecimal (14) 3830d
pentadecimal (15) 2ac6b

As an angle

137,801° = 382 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλζωαʹ
Mayan (base 20)
𝋱·𝋤·𝋪·𝋡
Chinese
一十三萬七千八百零一
Chinese (financial)
壹拾參萬柒仟捌佰零壹
In other modern scripts
Eastern Arabic ١٣٧٨٠١ Devanagari १३७८०१ Bengali ১৩৭৮০১ Tamil ௧௩௭௮௦௧ Thai ๑๓๗๘๐๑ Tibetan ༡༣༧༨༠༡ Khmer ១៣៧៨០១ Lao ໑໓໗໘໐໑ Burmese ၁၃၇၈၀၁

Also seen as

Unicode codepoint
𡩉
CJK Unified Ideograph-21A49
U+21A49
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 89 (4 bytes).

Hex color
#021A49
RGB(2, 26, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.73.

Address
0.2.26.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.73

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 137,801 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 137801 first appears in π at position 279,475 of the decimal expansion (the 279,475ordinal-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.