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137,948

137,948 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.).

137,948 (one hundred thirty-seven thousand nine hundred forty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,487. Written other ways, in hexadecimal, 0x21ADC.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
6,048
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
849,731
Recamán's sequence
a(492,931) = 137,948
Square (n²)
19,029,650,704
Cube (n³)
2,625,102,255,315,392
Divisor count
6
σ(n) — sum of divisors
241,416
φ(n) — Euler's totient
68,972
Sum of prime factors
34,491

Primality

Prime factorization: 2 2 × 34487

Nearest primes: 137,947 (−1) · 137,957 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34487 · 68974 (half) · 137948
Aliquot sum (sum of proper divisors): 103,468
Factor pairs (a × b = 137,948)
1 × 137948
2 × 68974
4 × 34487
First multiples
137,948 · 275,896 (double) · 413,844 · 551,792 · 689,740 · 827,688 · 965,636 · 1,103,584 · 1,241,532 · 1,379,480

Sums & aliquot sequence

As consecutive integers: 17,240 + 17,241 + … + 17,247
Aliquot sequence: 137,948 103,468 77,608 70,892 56,788 42,598 25,982 16,570 13,274 6,640 8,984 7,876 7,244 5,440 8,276 6,214 3,866 — unresolved within range

Continued fraction of √n

√137,948 = [371; (2, 2, 2, 1, 1, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 7, 1, 1, 1, 1, 1, 5, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred forty-eight
Ordinal
137948th
Binary
100001101011011100
Octal
415334
Hexadecimal
0x21ADC
Base64
Ahrc
One's complement
4,294,829,347 (32-bit)
Scientific notation
1.37948 × 10⁵
As a duration
137,948 s = 1 day, 14 hours, 19 minutes, 8 seconds
In other bases
ternary (3) 21000020012
quaternary (4) 201223130
quinary (5) 13403243
senary (6) 2542352
septenary (7) 1113116
nonary (9) 230205
undecimal (11) 94708
duodecimal (12) 679b8
tridecimal (13) 4aa35
tetradecimal (14) 383b6
pentadecimal (15) 2ad18

As an angle

137,948° = 383 × 360° + 68°
68° ≈ 1.187 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡμηʹ
Mayan (base 20)
𝋱·𝋤·𝋱·𝋨
Chinese
一十三萬七千九百四十八
Chinese (financial)
壹拾參萬柒仟玖佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٧٩٤٨ Devanagari १३७९४८ Bengali ১৩৭৯৪৮ Tamil ௧௩௭௯௪௮ Thai ๑๓๗๙๔๘ Tibetan ༡༣༧༩༤༨ Khmer ១៣៧៩៤៨ Lao ໑໓໗໙໔໘ Burmese ၁၃၇၉၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137948, here are decompositions:

  • 7 + 137941 = 137948
  • 37 + 137911 = 137948
  • 79 + 137869 = 137948
  • 157 + 137791 = 137948
  • 211 + 137737 = 137948
  • 241 + 137707 = 137948
  • 457 + 137491 = 137948
  • 607 + 137341 = 137948

Showing the first eight; more decompositions exist.

Unicode codepoint
𡫜
CJK Unified Ideograph-21Adc
U+21ADC
Other letter (Lo)

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

Hex color
#021ADC
RGB(2, 26, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.220.

Address
0.2.26.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.220

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 137,948 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 137948 first appears in π at position 453,541 of the decimal expansion (the 453,541ordinal-suffix:st 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.