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137,921

137,921 is a composite number, odd.

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.).

137,921 (one hundred thirty-seven thousand nine hundred twenty-one) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 7 × 17 × 19 × 61. Written other ways, in hexadecimal, 0x21AC1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
378
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
129,731
Recamán's sequence
a(492,985) = 137,921
Square (n²)
19,022,202,241
Cube (n³)
2,623,561,155,280,961
Divisor count
16
σ(n) — sum of divisors
178,560
φ(n) — Euler's totient
103,680
Sum of prime factors
104

Primality

Prime factorization: 7 × 17 × 19 × 61

Nearest primes: 137,911 (−10) · 137,927 (+6)

Divisors & multiples

All divisors (16)
1 · 7 · 17 · 19 · 61 · 119 · 133 · 323 · 427 · 1037 · 1159 · 2261 · 7259 · 8113 · 19703 · 137921
Aliquot sum (sum of proper divisors): 40,639
Factor pairs (a × b = 137,921)
1 × 137921
7 × 19703
17 × 8113
19 × 7259
61 × 2261
119 × 1159
133 × 1037
323 × 427
First multiples
137,921 · 275,842 (double) · 413,763 · 551,684 · 689,605 · 827,526 · 965,447 · 1,103,368 · 1,241,289 · 1,379,210

Sums & aliquot sequence

As consecutive integers: 68,960 + 68,961 19,700 + 19,701 + … + 19,706 9,845 + 9,846 + … + 9,858 8,105 + 8,106 + … + 8,121
Aliquot sequence: 137,921 40,639 1 0 — terminates at zero

Continued fraction of √n

√137,921 = [371; (2, 1, 1, 1, 6, 1, 1, 2, 2, 2, 56, 1, 2, 1, 1, 2, 3, 29, 2, 2, 2, 3, 1, 45, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred twenty-one
Ordinal
137921st
Binary
100001101011000001
Octal
415301
Hexadecimal
0x21AC1
Base64
AhrB
One's complement
4,294,829,374 (32-bit)
Scientific notation
1.37921 × 10⁵
As a duration
137,921 s = 1 day, 14 hours, 18 minutes, 41 seconds
In other bases
ternary (3) 21000012012
quaternary (4) 201223001
quinary (5) 13403141
senary (6) 2542305
septenary (7) 1113050
nonary (9) 230165
undecimal (11) 94693
duodecimal (12) 67995
tridecimal (13) 4aa14
tetradecimal (14) 38397
pentadecimal (15) 2aceb

As an angle

137,921° = 383 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλζϡκαʹ
Mayan (base 20)
𝋱·𝋤·𝋰·𝋡
Chinese
一十三萬七千九百二十一
Chinese (financial)
壹拾參萬柒仟玖佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٧٩٢١ Devanagari १३७९२१ Bengali ১৩৭৯২১ Tamil ௧௩௭௯௨௧ Thai ๑๓๗๙๒๑ Tibetan ༡༣༧༩༢༡ Khmer ១៣៧៩២១ Lao ໑໓໗໙໒໑ Burmese ၁၃၇၉၂၁

Also seen as

Unicode codepoint
𡫁
CJK Unified Ideograph-21Ac1
U+21AC1
Other letter (Lo)

UTF-8 encoding: F0 A1 AB 81 (4 bytes).

Hex color
#021AC1
RGB(2, 26, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.193.

Address
0.2.26.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.193

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 137,921 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 137921 first appears in π at position 542,848 of the decimal expansion (the 542,848ordinal-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.