Live analysis

137,732

137,732 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.).

137,732 (one hundred thirty-seven thousand seven hundred thirty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,919. Its proper divisors sum to 137,788, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A04.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

137,720 137,721 137,722 137,723 137,724 137,725 137,726 137,727 137,728 137,729 137,730 137,731 137,732 137,733 137,734 137,735 137,736 137,737 137,738 137,739 137,740 137,741 137,742 137,743 137,744

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 23
Digit product: 882
Digital root: 5
Palindrome: No
Bit width: 18 bits
Reversed: 237,731
Recamán's sequence: a(493,363) = 137,732
Square (n²): 18,970,103,824
Cube (n³): 2,612,790,339,887,168
Divisor count: 12
σ(n) — sum of divisors: 275,520
φ(n) — Euler's totient: 59,016
Sum of prime factors: 4,930

Primality

Prime factorization: 2 ² × 7 × 4919

Nearest primes: 137,723 (−9) · 137,737 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 4919 · 9838 · 19676 · 34433 · 68866 (half) · 137732

Aliquot sum (sum of proper divisors): 137,788

Factor pairs (a × b = 137,732)

1 × 137732

2 × 68866

4 × 34433

7 × 19676

14 × 9838

28 × 4919

First multiples

137,732 · 275,464 (double) · 413,196 · 550,928 · 688,660 · 826,392 · 964,124 · 1,101,856 · 1,239,588 · 1,377,320

Sums & aliquot sequence

As consecutive integers: 19,673 + 19,674 + … + 19,679 17,213 + 17,214 + … + 17,220 2,432 + 2,433 + … + 2,487

Aliquot sequence: 137,732 → 137,788 → 165,452 → 183,988 → 184,044 → 317,100 → 738,388 → 738,444 → 1,277,556 → 2,195,340 → 4,831,092 → 9,874,508 → 9,874,564 → 10,149,244 → 10,149,300 → 27,660,780 → 71,667,540 — unresolved within range

Continued fraction of √n

√137,732 = [371; (8, 6, 2, 3, 1, 13, 4, 2, 1, 2, 4, 1, 4, 1, 1, 9, 10, 1, 4, 3, 1, 1, 3, 2, …)]

Representations

In words: one hundred thirty-seven thousand seven hundred thirty-two
Ordinal: 137732nd
Binary: 100001101000000100
Octal: 415004
Hexadecimal: 0x21A04
Base64: AhoE
One's complement: 4,294,829,563 (32-bit)
Scientific notation: 1.37732 × 10⁵
As a duration: 137,732 s = 1 day, 14 hours, 15 minutes, 32 seconds

In other bases

ternary (3) 20222221012

quaternary (4) 201220010

quinary (5) 13401412

senary (6) 2541352

septenary (7) 1112360

nonary (9) 228835

undecimal (11) 94531

duodecimal (12) 67858

tridecimal (13) 4a8ca

tetradecimal (14) 382a0

pentadecimal (15) 2ac22

As an angle

137,732° = 382 × 360° + 212°

212° ≈ 3.7 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλζψλβʹ
Mayan (base 20): 𝋱·𝋤·𝋦·𝋬
Chinese: 一十三萬七千七百三十二
Chinese (financial): 壹拾參萬柒仟柒佰參拾貳

In other modern scripts

Eastern Arabic ١٣٧٧٣٢ Devanagari १३७७३२ Bengali ১৩৭৭৩২ Tamil ௧௩௭௭௩௨ Thai ๑๓๗๗๓๒ Tibetan ༡༣༧༧༣༢ Khmer ១៣៧៧៣២ Lao ໑໓໗໗໓໒ Burmese ၁၃၇၇၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137732, here are decompositions:

19 + 137713 = 137732
73 + 137659 = 137732
79 + 137653 = 137732
109 + 137623 = 137732
139 + 137593 = 137732
241 + 137491 = 137732
349 + 137383 = 137732
373 + 137359 = 137732

Showing the first eight; more decompositions exist.

Unicode codepoint

𡨄

CJK Unified Ideograph-21A04

U+21A04

Other letter (Lo)

UTF-8 encoding: F0 A1 A8 84 (4 bytes).

Lookup U+21A04 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021A04

RGB(2, 26, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.4.

Address: 0.2.26.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.26.4

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 137,732 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 US137,732 on Google Patents ↗ Look up on USPTO ↗