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137,412

137,412 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.).

137,412 (one hundred thirty-seven thousand four hundred twelve) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 11 × 347. Its proper divisors sum to 242,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218C4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
168
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
214,731
Recamán's sequence
a(37,628) = 137,412
Square (n²)
18,882,057,744
Cube (n³)
2,594,621,318,718,528
Divisor count
36
σ(n) — sum of divisors
380,016
φ(n) — Euler's totient
41,520
Sum of prime factors
368

Primality

Prime factorization: 2 2 × 3 2 × 11 × 347

Nearest primes: 137,399 (−13) · 137,413 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 33 · 36 · 44 · 66 · 99 · 132 · 198 · 347 · 396 · 694 · 1041 · 1388 · 2082 · 3123 · 3817 · 4164 · 6246 · 7634 · 11451 · 12492 · 15268 · 22902 · 34353 · 45804 · 68706 (half) · 137412
Aliquot sum (sum of proper divisors): 242,604
Factor pairs (a × b = 137,412)
1 × 137412
2 × 68706
3 × 45804
4 × 34353
6 × 22902
9 × 15268
11 × 12492
12 × 11451
18 × 7634
22 × 6246
33 × 4164
36 × 3817
44 × 3123
66 × 2082
99 × 1388
132 × 1041
198 × 694
347 × 396
First multiples
137,412 · 274,824 (double) · 412,236 · 549,648 · 687,060 · 824,472 · 961,884 · 1,099,296 · 1,236,708 · 1,374,120

Sums & aliquot sequence

As consecutive integers: 45,803 + 45,804 + 45,805 17,173 + 17,174 + … + 17,180 15,264 + 15,265 + … + 15,272 12,487 + 12,488 + … + 12,497
Aliquot sequence: 137,412 242,604 399,492 656,346 656,358 667,482 693,318 693,330 1,145,262 1,313,106 1,343,694 1,588,146 2,041,998 2,625,522 2,625,534 3,574,506 4,124,598 — unresolved within range

Continued fraction of √n

√137,412 = [370; (1, 2, 4, 5, 2, 1, 10, 4, 1, 1, 1, 2, 3, 1, 22, 2, 1, 1, 11, 5, 1, 8, 3, 6, …)]

Representations

In words
one hundred thirty-seven thousand four hundred twelve
Ordinal
137412th
Binary
100001100011000100
Octal
414304
Hexadecimal
0x218C4
Base64
AhjE
One's complement
4,294,829,883 (32-bit)
Scientific notation
1.37412 × 10⁵
As a duration
137,412 s = 1 day, 14 hours, 10 minutes, 12 seconds
In other bases
ternary (3) 20222111100
quaternary (4) 201203010
quinary (5) 13344122
senary (6) 2540100
septenary (7) 1111422
nonary (9) 228440
undecimal (11) 94270
duodecimal (12) 67630
tridecimal (13) 4a712
tetradecimal (14) 38112
pentadecimal (15) 2aaac

As an angle

137,412° = 381 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλζυιβʹ
Mayan (base 20)
𝋱·𝋣·𝋪·𝋬
Chinese
一十三萬七千四百一十二
Chinese (financial)
壹拾參萬柒仟肆佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٧٤١٢ Devanagari १३७४१२ Bengali ১৩৭৪১২ Tamil ௧௩௭௪௧௨ Thai ๑๓๗๔๑๒ Tibetan ༡༣༧༤༡༢ Khmer ១៣៧៤១២ Lao ໑໓໗໔໑໒ Burmese ၁၃၇၄၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137412, here are decompositions:

  • 13 + 137399 = 137412
  • 19 + 137393 = 137412
  • 29 + 137383 = 137412
  • 43 + 137369 = 137412
  • 53 + 137359 = 137412
  • 59 + 137353 = 137412
  • 71 + 137341 = 137412
  • 73 + 137339 = 137412

Showing the first eight; more decompositions exist.

Unicode codepoint
𡣄
CJK Unified Ideograph-218C4
U+218C4
Other letter (Lo)

UTF-8 encoding: F0 A1 A3 84 (4 bytes).

Hex color
#0218C4
RGB(2, 24, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.196.

Address
0.2.24.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.196

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 137,412 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 137412 first appears in π at position 547,186 of the decimal expansion (the 547,186ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.