Live analysis

137,020

137,020 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.).

137,020 (one hundred thirty-seven thousand twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 13 × 17 × 31. Its proper divisors sum to 201,668, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2173C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

137,008 137,009 137,010 137,011 137,012 137,013 137,014 137,015 137,016 137,017 137,018 137,019 137,020 137,021 137,022 137,023 137,024 137,025 137,026 137,027 137,028 137,029 137,030 137,031 137,032

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 18 bits
Reversed: 20,731
Square (n²): 18,774,480,400
Cube (n³): 2,572,479,304,408,000
Divisor count: 48
σ(n) — sum of divisors: 338,688
φ(n) — Euler's totient: 46,080
Sum of prime factors: 70

Primality

Prime factorization: 2 ² × 5 × 13 × 17 × 31

Nearest primes: 136,999 (−21) · 137,029 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 10 · 13 · 17 · 20 · 26 · 31 · 34 · 52 · 62 · 65 · 68 · 85 · 124 · 130 · 155 · 170 · 221 · 260 · 310 · 340 · 403 · 442 · 527 · 620 · 806 · 884 · 1054 · 1105 · 1612 · 2015 · 2108 · 2210 · 2635 · 4030 · 4420 · 5270 · 6851 · 8060 · 10540 · 13702 · 27404 · 34255 · 68510 (half) · 137020

Aliquot sum (sum of proper divisors): 201,668

Factor pairs (a × b = 137,020)

1 × 137020

2 × 68510

4 × 34255

5 × 27404

10 × 13702

13 × 10540

17 × 8060

20 × 6851

26 × 5270

31 × 4420

34 × 4030

52 × 2635

62 × 2210

65 × 2108

68 × 2015

85 × 1612

124 × 1105

130 × 1054

155 × 884

170 × 806

221 × 620

260 × 527

310 × 442

340 × 403

First multiples

137,020 · 274,040 (double) · 411,060 · 548,080 · 685,100 · 822,120 · 959,140 · 1,096,160 · 1,233,180 · 1,370,200

Sums & aliquot sequence

As consecutive integers: 27,402 + 27,403 + 27,404 + 27,405 + 27,406 17,124 + 17,125 + … + 17,131 10,534 + 10,535 + … + 10,546 8,052 + 8,053 + … + 8,068

Aliquot sequence: 137,020 → 201,668 → 151,258 → 75,632 → 76,888 → 87,992 → 86,968 → 99,512 → 113,848 → 145,352 → 127,198 → 63,602 → 59,518 → 29,762 → 16,894 → 8,450 → 8,569 — unresolved within range

Continued fraction of √n

√137,020 = [370; (6, 5, 1, 19, 1, 2, 1, 1, 1, 14, 2, 8, 1, 1, 1, 10, 13, 2, 1, 2, 1, 2, 13, 10, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand twenty
Ordinal: 137020th
Binary: 100001011100111100
Octal: 413474
Hexadecimal: 0x2173C
Base64: Ahc8
One's complement: 4,294,830,275 (32-bit)
Scientific notation: 1.3702 × 10⁵
As a duration: 137,020 s = 1 day, 14 hours, 3 minutes, 40 seconds

In other bases

ternary (3) 20221221211

quaternary (4) 201130330

quinary (5) 13341040

senary (6) 2534204

septenary (7) 1110322

nonary (9) 227854

undecimal (11) 93a44

duodecimal (12) 67364

tridecimal (13) 4a4a0

tetradecimal (14) 37d12

pentadecimal (15) 2a8ea

As an angle

137,020° = 380 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Greek (Milesian): ͵ρλζκʹ
Mayan (base 20): 𝋱·𝋢·𝋫·𝋠
Chinese: 一十三萬七千零二十
Chinese (financial): 壹拾參萬柒仟零貳拾

In other modern scripts

Eastern Arabic ١٣٧٠٢٠ Devanagari १३७०२० Bengali ১৩৭০২০ Tamil ௧௩௭௦௨௦ Thai ๑๓๗๐๒๐ Tibetan ༡༣༧༠༢༠ Khmer ១៣៧០២០ Lao ໑໓໗໐໒໐ Burmese ၁၃၇၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137020, here are decompositions:

29 + 136991 = 137020
41 + 136979 = 137020
47 + 136973 = 137020
71 + 136949 = 137020
131 + 136889 = 137020
137 + 136883 = 137020
179 + 136841 = 137020
251 + 136769 = 137020

Showing the first eight; more decompositions exist.

Unicode codepoint

𡜼

CJK Unified Ideograph-2173C

U+2173C

Other letter (Lo)

UTF-8 encoding: F0 A1 9C BC (4 bytes).

Lookup U+2173C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02173C

RGB(2, 23, 60)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.60.

Address: 0.2.23.60
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.60

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 137,020 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 US137,020 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 137020 first appears in π at position 24,357 of the decimal expansion (the 24,357ordinal-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 137020 on Pi Search ↗