Live analysis

137,124

137,124 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.).

137,124 (one hundred thirty-seven thousand one hundred twenty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 13 × 293. Its proper divisors sum to 237,432, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x217A4.

Abundant Number Cube-Free Evil Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

137,112 137,113 137,114 137,115 137,116 137,117 137,118 137,119 137,120 137,121 137,122 137,123 137,124 137,125 137,126 137,127 137,128 137,129 137,130 137,131 137,132 137,133 137,134 137,135 137,136

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 168
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 421,731
Square (n²): 18,802,991,376
Cube (n³): 2,578,341,389,442,624
Divisor count: 36
σ(n) — sum of divisors: 374,556
φ(n) — Euler's totient: 42,048
Sum of prime factors: 316

Primality

Prime factorization: 2 ² × 3 ² × 13 × 293

Nearest primes: 137,119 (−5) · 137,131 (+7)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 36 · 39 · 52 · 78 · 117 · 156 · 234 · 293 · 468 · 586 · 879 · 1172 · 1758 · 2637 · 3516 · 3809 · 5274 · 7618 · 10548 · 11427 · 15236 · 22854 · 34281 · 45708 · 68562 (half) · 137124

Aliquot sum (sum of proper divisors): 237,432

Factor pairs (a × b = 137,124)

1 × 137124

2 × 68562

3 × 45708

4 × 34281

6 × 22854

9 × 15236

12 × 11427

13 × 10548

18 × 7618

26 × 5274

36 × 3809

39 × 3516

52 × 2637

78 × 1758

117 × 1172

156 × 879

234 × 586

293 × 468

First multiples

137,124 · 274,248 (double) · 411,372 · 548,496 · 685,620 · 822,744 · 959,868 · 1,096,992 · 1,234,116 · 1,371,240

Sums & aliquot sequence

As a sum of two squares: 168² + 330² = 240² + 282²

As consecutive integers: 45,707 + 45,708 + 45,709 17,137 + 17,138 + … + 17,144 15,232 + 15,233 + … + 15,240 10,542 + 10,543 + … + 10,554

Aliquot sequence: 137,124 → 237,432 → 402,648 → 658,152 → 1,343,448 → 2,381,832 → 4,234,968 → 7,348,032 → 13,715,426 → 6,857,716 → 5,169,264 → 8,184,792 → 18,172,968 → 34,012,632 → 51,696,168 → 77,544,312 → 117,332,568 — unresolved within range

Continued fraction of √n

√137,124 = [370; (3, 3, 3, 1, 1, 2, 1, 2, 1, 1, 1, 4, 1, 14, 3, 2, 2, 1, 7, 11, 2, 3, 1, 4, …)]

Representations

In words: one hundred thirty-seven thousand one hundred twenty-four
Ordinal: 137124th
Binary: 100001011110100100
Octal: 413644
Hexadecimal: 0x217A4
Base64: Ahek
One's complement: 4,294,830,171 (32-bit)
Scientific notation: 1.37124 × 10⁵
As a duration: 137,124 s = 1 day, 14 hours, 5 minutes, 24 seconds

In other bases

ternary (3) 20222002200

quaternary (4) 201132210

quinary (5) 13341444

senary (6) 2534500

septenary (7) 1110531

nonary (9) 228080

undecimal (11) 94029

duodecimal (12) 67430

tridecimal (13) 4a550

tetradecimal (14) 37d88

pentadecimal (15) 2a969

As an angle

137,124° = 380 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζρκδʹ
Mayan (base 20): 𝋱·𝋢·𝋰·𝋤
Chinese: 一十三萬七千一百二十四
Chinese (financial): 壹拾參萬柒仟壹佰貳拾肆

In other modern scripts

Eastern Arabic ١٣٧١٢٤ Devanagari १३७१२४ Bengali ১৩৭১২৪ Tamil ௧௩௭௧௨௪ Thai ๑๓๗๑๒๔ Tibetan ༡༣༧༡༢༤ Khmer ១៣៧១២៤ Lao ໑໓໗໑໒໔ Burmese ၁၃၇၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137124, here are decompositions:

5 + 137119 = 137124
7 + 137117 = 137124
37 + 137087 = 137124
47 + 137077 = 137124
131 + 136993 = 137124
137 + 136987 = 137124
151 + 136973 = 137124
173 + 136951 = 137124

Showing the first eight; more decompositions exist.

Unicode codepoint

𡞤

CJK Unified Ideograph-217A4

U+217A4

Other letter (Lo)

UTF-8 encoding: F0 A1 9E A4 (4 bytes).

Lookup U+217A4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0217A4

RGB(2, 23, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.164.

Address: 0.2.23.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.164

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 137,124 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 US137,124 on Google Patents ↗ Look up on USPTO ↗