Live analysis

137,748

137,748 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.).

137,748 (one hundred thirty-seven thousand seven hundred forty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 883. Its proper divisors sum to 208,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A14.

Abundant Number Cube-Free Evil Number Happy Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

137,736 137,737 137,738 137,739 137,740 137,741 137,742 137,743 137,744 137,745 137,746 137,747 137,748 137,749 137,750 137,751 137,752 137,753 137,754 137,755 137,756 137,757 137,758 137,759 137,760

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 4,704
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 847,731
Recamán's sequence: a(493,331) = 137,748
Square (n²): 18,974,511,504
Cube (n³): 2,613,701,010,652,992
Divisor count: 24
σ(n) — sum of divisors: 346,528
φ(n) — Euler's totient: 42,336
Sum of prime factors: 903

Primality

Prime factorization: 2 ² × 3 × 13 × 883

Nearest primes: 137,743 (−5) · 137,771 (+23)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 883 · 1766 · 2649 · 3532 · 5298 · 10596 · 11479 · 22958 · 34437 · 45916 · 68874 (half) · 137748

Aliquot sum (sum of proper divisors): 208,780

Factor pairs (a × b = 137,748)

1 × 137748

2 × 68874

3 × 45916

4 × 34437

6 × 22958

12 × 11479

13 × 10596

26 × 5298

39 × 3532

52 × 2649

78 × 1766

156 × 883

First multiples

137,748 · 275,496 (double) · 413,244 · 550,992 · 688,740 · 826,488 · 964,236 · 1,101,984 · 1,239,732 · 1,377,480

Sums & aliquot sequence

As consecutive integers: 45,915 + 45,916 + 45,917 17,215 + 17,216 + … + 17,222 10,590 + 10,591 + … + 10,602 5,728 + 5,729 + … + 5,751

Aliquot sequence: 137,748 → 208,780 → 313,364 → 235,030 → 210,650 → 217,894 → 108,950 → 93,790 → 78,578 → 40,762 → 21,338 → 11,494 → 8,234 → 4,726 → 2,834 → 1,786 → 1,094 — unresolved within range

Continued fraction of √n

√137,748 = [371; (6, 1, 14, 1, 1, 1, 1, 4, 1, 45, 1, 1, 2, 1, 246, 1, 2, 1, 1, 45, 1, 4, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand seven hundred forty-eight
Ordinal: 137748th
Binary: 100001101000010100
Octal: 415024
Hexadecimal: 0x21A14
Base64: AhoU
One's complement: 4,294,829,547 (32-bit)
Scientific notation: 1.37748 × 10⁵
As a duration: 137,748 s = 1 day, 14 hours, 15 minutes, 48 seconds

In other bases

ternary (3) 20222221210

quaternary (4) 201220110

quinary (5) 13401443

senary (6) 2541420

septenary (7) 1112412

nonary (9) 228853

undecimal (11) 94546

duodecimal (12) 67870

tridecimal (13) 4a910

tetradecimal (14) 382b2

pentadecimal (15) 2ac33

As an angle

137,748° = 382 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζψμηʹ
Mayan (base 20): 𝋱·𝋤·𝋧·𝋨
Chinese: 一十三萬七千七百四十八
Chinese (financial): 壹拾參萬柒仟柒佰肆拾捌

In other modern scripts

Eastern Arabic ١٣٧٧٤٨ Devanagari १३७७४८ Bengali ১৩৭৭৪৮ Tamil ௧௩௭௭௪௮ Thai ๑๓๗๗๔๘ Tibetan ༡༣༧༧༤༨ Khmer ១៣៧៧៤៨ Lao ໑໓໗໗໔໘ Burmese ၁၃၇၇၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137748, here are decompositions:

5 + 137743 = 137748
11 + 137737 = 137748
41 + 137707 = 137748
89 + 137659 = 137748
109 + 137639 = 137748
151 + 137597 = 137748
181 + 137567 = 137748
211 + 137537 = 137748

Showing the first eight; more decompositions exist.

Unicode codepoint

𡨔

CJK Unified Ideograph-21A14

U+21A14

Other letter (Lo)

UTF-8 encoding: F0 A1 A8 94 (4 bytes).

Lookup U+21A14 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021A14

RGB(2, 26, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.20.

Address: 0.2.26.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.26.20

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 137,748 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 US137,748 on Google Patents ↗ Look up on USPTO ↗