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137,774

137,774 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.).

137,774 (one hundred thirty-seven thousand seven hundred seventy-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 13 × 757. Written other ways, in hexadecimal, 0x21A2E.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
4,116
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
477,731
Recamán's sequence
a(493,279) = 137,774
Square (n²)
18,981,675,076
Cube (n³)
2,615,181,301,920,824
Divisor count
16
σ(n) — sum of divisors
254,688
φ(n) — Euler's totient
54,432
Sum of prime factors
779

Primality

Prime factorization: 2 × 7 × 13 × 757

Nearest primes: 137,771 (−3) · 137,777 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 13 · 14 · 26 · 91 · 182 · 757 · 1514 · 5299 · 9841 · 10598 · 19682 · 68887 (half) · 137774
Aliquot sum (sum of proper divisors): 116,914
Factor pairs (a × b = 137,774)
1 × 137774
2 × 68887
7 × 19682
13 × 10598
14 × 9841
26 × 5299
91 × 1514
182 × 757
First multiples
137,774 · 275,548 (double) · 413,322 · 551,096 · 688,870 · 826,644 · 964,418 · 1,102,192 · 1,239,966 · 1,377,740

Sums & aliquot sequence

As consecutive integers: 34,442 + 34,443 + 34,444 + 34,445 19,679 + 19,680 + … + 19,685 10,592 + 10,593 + … + 10,604 4,907 + 4,908 + … + 4,934
Aliquot sequence: 137,774 116,914 87,260 96,028 72,028 65,564 52,540 62,372 50,524 43,220 47,584 46,160 61,348 63,938 45,694 32,642 18,958 — unresolved within range

Continued fraction of √n

√137,774 = [371; (5, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 4, 11, 1, 3, 5, 2, 5, 11, 1, 73, 3, 6, 1, …)]

Representations

In words
one hundred thirty-seven thousand seven hundred seventy-four
Ordinal
137774th
Binary
100001101000101110
Octal
415056
Hexadecimal
0x21A2E
Base64
Ahou
One's complement
4,294,829,521 (32-bit)
Scientific notation
1.37774 × 10⁵
As a duration
137,774 s = 1 day, 14 hours, 16 minutes, 14 seconds
In other bases
ternary (3) 20222222202
quaternary (4) 201220232
quinary (5) 13402044
senary (6) 2541502
septenary (7) 1112450
nonary (9) 228882
undecimal (11) 9456a
duodecimal (12) 67892
tridecimal (13) 4a930
tetradecimal (14) 382d0
pentadecimal (15) 2ac4e
Palindromic in base 3

As an angle

137,774° = 382 × 360° + 254°
254° ≈ 4.433 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζψοδʹ
Mayan (base 20)
𝋱·𝋤·𝋨·𝋮
Chinese
一十三萬七千七百七十四
Chinese (financial)
壹拾參萬柒仟柒佰柒拾肆
In other modern scripts
Eastern Arabic ١٣٧٧٧٤ Devanagari १३७७७४ Bengali ১৩৭৭৭৪ Tamil ௧௩௭௭௭௪ Thai ๑๓๗๗๗๔ Tibetan ༡༣༧༧༧༤ Khmer ១៣៧៧៧៤ Lao ໑໓໗໗໗໔ Burmese ၁၃၇၇၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137774, here are decompositions:

  • 3 + 137771 = 137774
  • 31 + 137743 = 137774
  • 37 + 137737 = 137774
  • 61 + 137713 = 137774
  • 67 + 137707 = 137774
  • 151 + 137623 = 137774
  • 181 + 137593 = 137774
  • 283 + 137491 = 137774

Showing the first eight; more decompositions exist.

Unicode codepoint
𡨮
CJK Unified Ideograph-21A2E
U+21A2E
Other letter (Lo)

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

Hex color
#021A2E
RGB(2, 26, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.46.

Address
0.2.26.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.46

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 137,774 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 137774 first appears in π at position 106,949 of the decimal expansion (the 106,949ordinal-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

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