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137,428

137,428 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.).

137,428 (one hundred thirty-seven thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 17 × 43 × 47. Written other ways, in hexadecimal, 0x218D4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,344
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
824,731
Square (n²)
18,886,455,184
Cube (n³)
2,595,527,763,026,752
Divisor count
24
σ(n) — sum of divisors
266,112
φ(n) — Euler's totient
61,824
Sum of prime factors
111

Primality

Prime factorization: 2 2 × 17 × 43 × 47

Nearest primes: 137,413 (−15) · 137,437 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 17 · 34 · 43 · 47 · 68 · 86 · 94 · 172 · 188 · 731 · 799 · 1462 · 1598 · 2021 · 2924 · 3196 · 4042 · 8084 · 34357 · 68714 (half) · 137428
Aliquot sum (sum of proper divisors): 128,684
Factor pairs (a × b = 137,428)
1 × 137428
2 × 68714
4 × 34357
17 × 8084
34 × 4042
43 × 3196
47 × 2924
68 × 2021
86 × 1598
94 × 1462
172 × 799
188 × 731
First multiples
137,428 · 274,856 (double) · 412,284 · 549,712 · 687,140 · 824,568 · 961,996 · 1,099,424 · 1,236,852 · 1,374,280

Sums & aliquot sequence

As consecutive integers: 17,175 + 17,176 + … + 17,182 8,076 + 8,077 + … + 8,092 3,175 + 3,176 + … + 3,217 2,901 + 2,902 + … + 2,947
Aliquot sequence: 137,428 128,684 101,140 128,180 189,340 208,316 175,564 131,680 179,792 189,604 146,060 168,100 205,791 68,601 29,959 1 0 — terminates at zero

Continued fraction of √n

√137,428 = [370; (1, 2, 2, 13, 1, 1, 3, 1, 1, 1, 1, 1, 16, 1, 1, 1, 1, 1, 3, 1, 1, 13, 2, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand four hundred twenty-eight
Ordinal
137428th
Binary
100001100011010100
Octal
414324
Hexadecimal
0x218D4
Base64
AhjU
One's complement
4,294,829,867 (32-bit)
Scientific notation
1.37428 × 10⁵
As a duration
137,428 s = 1 day, 14 hours, 10 minutes, 28 seconds
In other bases
ternary (3) 20222111221
quaternary (4) 201203110
quinary (5) 13344203
senary (6) 2540124
septenary (7) 1111444
nonary (9) 228457
undecimal (11) 94285
duodecimal (12) 67644
tridecimal (13) 4a725
tetradecimal (14) 38124
pentadecimal (15) 2aabd

As an angle

137,428° = 381 × 360° + 268°
268° ≈ 4.677 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζυκηʹ
Mayan (base 20)
𝋱·𝋣·𝋫·𝋨
Chinese
一十三萬七千四百二十八
Chinese (financial)
壹拾參萬柒仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٧٤٢٨ Devanagari १३७४२८ Bengali ১৩৭৪২৮ Tamil ௧௩௭௪௨௮ Thai ๑๓๗๔๒๘ Tibetan ༡༣༧༤༢༨ Khmer ១៣៧៤២៨ Lao ໑໓໗໔໒໘ Burmese ၁၃၇၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137428, here are decompositions:

  • 29 + 137399 = 137428
  • 41 + 137387 = 137428
  • 59 + 137369 = 137428
  • 89 + 137339 = 137428
  • 107 + 137321 = 137428
  • 149 + 137279 = 137428
  • 227 + 137201 = 137428
  • 251 + 137177 = 137428

Showing the first eight; more decompositions exist.

Unicode codepoint
𡣔
CJK Unified Ideograph-218D4
U+218D4
Other letter (Lo)

UTF-8 encoding: F0 A1 A3 94 (4 bytes).

Hex color
#0218D4
RGB(2, 24, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.212.

Address
0.2.24.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.212

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 137,428 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 137428 first appears in π at position 759,069 of the decimal expansion (the 759,069ordinal-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.

Related reading