Live analysis

137,106

137,106 is a composite number, even.

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.).

137,106 (one hundred thirty-seven thousand one hundred six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 2,539. Its proper divisors sum to 167,694, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21792.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

137,094 137,095 137,096 137,097 137,098 137,099 137,100 137,101 137,102 137,103 137,104 137,105 137,106 137,107 137,108 137,109 137,110 137,111 137,112 137,113 137,114 137,115 137,116 137,117 137,118

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 601,731
Square (n²): 18,798,055,236
Cube (n³): 2,577,326,161,187,016
Divisor count: 16
σ(n) — sum of divisors: 304,800
φ(n) — Euler's totient: 45,684
Sum of prime factors: 2,550

Primality

Prime factorization: 2 × 3 ³ × 2539

Nearest primes: 137,089 (−17) · 137,117 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 2539 · 5078 · 7617 · 15234 · 22851 · 45702 · 68553 (half) · 137106

Aliquot sum (sum of proper divisors): 167,694

Factor pairs (a × b = 137,106)

1 × 137106

2 × 68553

3 × 45702

6 × 22851

9 × 15234

18 × 7617

27 × 5078

54 × 2539

First multiples

137,106 · 274,212 (double) · 411,318 · 548,424 · 685,530 · 822,636 · 959,742 · 1,096,848 · 1,233,954 · 1,371,060

Sums & aliquot sequence

As consecutive integers: 45,701 + 45,702 + 45,703 34,275 + 34,276 + 34,277 + 34,278 15,230 + 15,231 + … + 15,238 11,420 + 11,421 + … + 11,431

Aliquot sequence: 137,106 → 167,694 → 185,586 → 185,598 → 286,722 → 371,754 → 476,886 → 476,898 → 493,278 → 545,442 → 545,454 → 999,474 → 1,333,326 → 1,345,074 → 1,503,534 → 1,607,586 → 1,718,814 — unresolved within range

Continued fraction of √n

√137,106 = [370; (3, 1, 1, 2, 5, 1, 5, 29, 2, 4, 1, 1, 1, 1, 1, 1, 17, 2, 4, 8, 1, 4, 4, 1, …)]

Representations

In words: one hundred thirty-seven thousand one hundred six
Ordinal: 137106th
Binary: 100001011110010010
Octal: 413622
Hexadecimal: 0x21792
Base64: AheS
One's complement: 4,294,830,189 (32-bit)
Scientific notation: 1.37106 × 10⁵
As a duration: 137,106 s = 1 day, 14 hours, 5 minutes, 6 seconds

In other bases

ternary (3) 20222002000

quaternary (4) 201132102

quinary (5) 13341411

senary (6) 2534430

septenary (7) 1110504

nonary (9) 228060

undecimal (11) 94012

duodecimal (12) 67416

tridecimal (13) 4a538

tetradecimal (14) 37d74

pentadecimal (15) 2a956

As an angle

137,106° = 380 × 360° + 306°

306° ≈ 5.341 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζρϛʹ
Mayan (base 20): 𝋱·𝋢·𝋯·𝋦
Chinese: 一十三萬七千一百零六
Chinese (financial): 壹拾參萬柒仟壹佰零陸

In other modern scripts

Eastern Arabic ١٣٧١٠٦ Devanagari १३७१०६ Bengali ১৩৭১০৬ Tamil ௧௩௭௧௦௬ Thai ๑๓๗๑๐๖ Tibetan ༡༣༧༡༠༦ Khmer ១៣៧១០៦ Lao ໑໓໗໑໐໖ Burmese ၁၃၇၁၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137106, here are decompositions:

17 + 137089 = 137106
19 + 137087 = 137106
29 + 137077 = 137106
107 + 136999 = 137106
113 + 136993 = 137106
127 + 136979 = 137106
157 + 136949 = 137106
163 + 136943 = 137106

Showing the first eight; more decompositions exist.

Unicode codepoint

𡞒

CJK Unified Ideograph-21792

U+21792

Other letter (Lo)

UTF-8 encoding: F0 A1 9E 92 (4 bytes).

Lookup U+21792 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021792

RGB(2, 23, 146)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.146.

Address: 0.2.23.146
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.146

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 137,106 and was likely granted around 1872.

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

Look up US137,106 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 137106 first appears in π at position 39,911 of the decimal expansion (the 39,911ordinal-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.

Look up 137106 on Pi Search ↗