Live analysis

137,112

137,112 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.).

137,112 (one hundred thirty-seven thousand one hundred twelve) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 29 × 197. Its proper divisors sum to 219,288, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21798.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

137,100 137,101 137,102 137,103 137,104 137,105 137,106 137,107 137,108 137,109 137,110 137,111 137,112 137,113 137,114 137,115 137,116 137,117 137,118 137,119 137,120 137,121 137,122 137,123 137,124

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 42
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 211,731
Square (n²): 18,799,700,544
Cube (n³): 2,577,664,540,988,928
Divisor count: 32
σ(n) — sum of divisors: 356,400
φ(n) — Euler's totient: 43,904
Sum of prime factors: 235

Primality

Prime factorization: 2 ³ × 3 × 29 × 197

Nearest primes: 137,089 (−23) · 137,117 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 29 · 58 · 87 · 116 · 174 · 197 · 232 · 348 · 394 · 591 · 696 · 788 · 1182 · 1576 · 2364 · 4728 · 5713 · 11426 · 17139 · 22852 · 34278 · 45704 · 68556 (half) · 137112

Aliquot sum (sum of proper divisors): 219,288

Factor pairs (a × b = 137,112)

1 × 137112

2 × 68556

3 × 45704

4 × 34278

6 × 22852

8 × 17139

12 × 11426

24 × 5713

29 × 4728

58 × 2364

87 × 1576

116 × 1182

174 × 788

197 × 696

232 × 591

348 × 394

First multiples

137,112 · 274,224 (double) · 411,336 · 548,448 · 685,560 · 822,672 · 959,784 · 1,096,896 · 1,234,008 · 1,371,120

Sums & aliquot sequence

As consecutive integers: 45,703 + 45,704 + 45,705 8,562 + 8,563 + … + 8,577 4,714 + 4,715 + … + 4,742 2,833 + 2,834 + … + 2,880

Aliquot sequence: 137,112 → 219,288 → 328,992 → 578,208 → 1,024,512 → 1,921,728 → 3,163,352 → 2,928,808 → 2,583,692 → 1,985,068 → 1,504,124 → 1,199,500 → 1,421,300 → 1,726,936 → 1,536,464 → 1,471,156 → 1,103,374 — unresolved within range

Continued fraction of √n

√137,112 = [370; (3, 2, 30, 2, 3, 740)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand one hundred twelve
Ordinal: 137112th
Binary: 100001011110011000
Octal: 413630
Hexadecimal: 0x21798
Base64: AheY
One's complement: 4,294,830,183 (32-bit)
Scientific notation: 1.37112 × 10⁵
As a duration: 137,112 s = 1 day, 14 hours, 5 minutes, 12 seconds

In other bases

ternary (3) 20222002020

quaternary (4) 201132120

quinary (5) 13341422

senary (6) 2534440

septenary (7) 1110513

nonary (9) 228066

undecimal (11) 94018

duodecimal (12) 67420

tridecimal (13) 4a541

tetradecimal (14) 37d7a

pentadecimal (15) 2a95c

As an angle

137,112° = 380 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian): ͵ρλζριβʹ
Mayan (base 20): 𝋱·𝋢·𝋯·𝋬
Chinese: 一十三萬七千一百一十二
Chinese (financial): 壹拾參萬柒仟壹佰壹拾貳

In other modern scripts

Eastern Arabic ١٣٧١١٢ Devanagari १३७११२ Bengali ১৩৭১১২ Tamil ௧௩௭௧௧௨ Thai ๑๓๗๑๑๒ Tibetan ༡༣༧༡༡༢ Khmer ១៣៧១១២ Lao ໑໓໗໑໑໒ Burmese ၁၃၇၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137112, here are decompositions:

23 + 137089 = 137112
83 + 137029 = 137112
113 + 136999 = 137112
139 + 136973 = 137112
149 + 136963 = 137112
163 + 136949 = 137112
223 + 136889 = 137112
229 + 136883 = 137112

Showing the first eight; more decompositions exist.

Unicode codepoint

𡞘

CJK Unified Ideograph-21798

U+21798

Other letter (Lo)

UTF-8 encoding: F0 A1 9E 98 (4 bytes).

Lookup U+21798 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021798

RGB(2, 23, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.152.

Address: 0.2.23.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.152

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 137,112 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 US137,112 on Google Patents ↗ Look up on USPTO ↗