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137,113

137,113 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.).

137,113 (one hundred thirty-seven thousand one hundred thirteen) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 31 × 4,423. Written other ways, in hexadecimal, 0x21799.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
63
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
311,731
Square (n²)
18,799,974,769
Cube (n³)
2,577,720,940,501,897
Divisor count
4
σ(n) — sum of divisors
141,568
φ(n) — Euler's totient
132,660
Sum of prime factors
4,454

Primality

Prime factorization: 31 × 4423

Nearest primes: 137,089 (−24) · 137,117 (+4)

Divisors & multiples

All divisors (4)
1 · 31 · 4423 · 137113
Aliquot sum (sum of proper divisors): 4,455
Factor pairs (a × b = 137,113)
1 × 137113
31 × 4423
First multiples
137,113 · 274,226 (double) · 411,339 · 548,452 · 685,565 · 822,678 · 959,791 · 1,096,904 · 1,234,017 · 1,371,130

Sums & aliquot sequence

As consecutive integers: 68,556 + 68,557 4,408 + 4,409 + … + 4,438 2,181 + 2,182 + … + 2,242
Aliquot sequence: 137,113 4,455 4,257 2,607 1,233 561 303 105 87 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√137,113 = [370; (3, 2, 9, 1, 2, 1, 1, 9, 1, 2, 2, 10, 246, 1, 3, 4, 1, 2, 1, 1, 2, 1, 30, 7, …)]

Representations

In words
one hundred thirty-seven thousand one hundred thirteen
Ordinal
137113th
Binary
100001011110011001
Octal
413631
Hexadecimal
0x21799
Base64
AheZ
One's complement
4,294,830,182 (32-bit)
Scientific notation
1.37113 × 10⁵
As a duration
137,113 s = 1 day, 14 hours, 5 minutes, 13 seconds
In other bases
ternary (3) 20222002021
quaternary (4) 201132121
quinary (5) 13341423
senary (6) 2534441
septenary (7) 1110514
nonary (9) 228067
undecimal (11) 94019
duodecimal (12) 67421
tridecimal (13) 4a542
tetradecimal (14) 37d7b
pentadecimal (15) 2a95d

As an angle

137,113° = 380 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζριγʹ
Mayan (base 20)
𝋱·𝋢·𝋯·𝋭
Chinese
一十三萬七千一百一十三
Chinese (financial)
壹拾參萬柒仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١٣٧١١٣ Devanagari १३७११३ Bengali ১৩৭১১৩ Tamil ௧௩௭௧௧௩ Thai ๑๓๗๑๑๓ Tibetan ༡༣༧༡༡༣ Khmer ១៣៧១១៣ Lao ໑໓໗໑໑໓ Burmese ၁၃၇၁၁၃

Also seen as

Unicode codepoint
𡞙
CJK Unified Ideograph-21799
U+21799
Other letter (Lo)

UTF-8 encoding: F0 A1 9E 99 (4 bytes).

Hex color
#021799
RGB(2, 23, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.153.

Address
0.2.23.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.153

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 137,113 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 137113 first appears in π at position 837,755 of the decimal expansion (the 837,755ordinal-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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