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121,626

121,626 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.).

121,626 (one hundred twenty-one thousand six hundred twenty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 29 × 233. Its proper divisors sum to 152,154, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DB1A.

Abundant Number Cube-Free Evil Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
626,121
Square (n²)
14,792,883,876
Cube (n³)
1,799,199,294,302,376
Divisor count
24
σ(n) — sum of divisors
273,780
φ(n) — Euler's totient
38,976
Sum of prime factors
270

Primality

Prime factorization: 2 × 3 2 × 29 × 233

Nearest primes: 121,621 (−5) · 121,631 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 29 · 58 · 87 · 174 · 233 · 261 · 466 · 522 · 699 · 1398 · 2097 · 4194 · 6757 · 13514 · 20271 · 40542 · 60813 (half) · 121626
Aliquot sum (sum of proper divisors): 152,154
Factor pairs (a × b = 121,626)
1 × 121626
2 × 60813
3 × 40542
6 × 20271
9 × 13514
18 × 6757
29 × 4194
58 × 2097
87 × 1398
174 × 699
233 × 522
261 × 466
First multiples
121,626 · 243,252 (double) · 364,878 · 486,504 · 608,130 · 729,756 · 851,382 · 973,008 · 1,094,634 · 1,216,260

Sums & aliquot sequence

As a sum of two squares: 51² + 345² = 201² + 285²
As consecutive integers: 40,541 + 40,542 + 40,543 30,405 + 30,406 + 30,407 + 30,408 13,510 + 13,511 + … + 13,518 10,130 + 10,131 + … + 10,141
Aliquot sequence: 121,626 152,154 184,806 215,646 220,578 226,302 226,314 331,254 567,306 661,896 1,198,404 1,830,986 953,338 494,150 425,062 275,534 196,834 — unresolved within range

Continued fraction of √n

√121,626 = [348; (1, 2, 1, 76, 1, 2, 1, 696)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand six hundred twenty-six
Ordinal
121626th
Binary
11101101100011010
Octal
355432
Hexadecimal
0x1DB1A
Base64
Adsa
One's complement
4,294,845,669 (32-bit)
Scientific notation
1.21626 × 10⁵
As a duration
121,626 s = 1 day, 9 hours, 47 minutes, 6 seconds
In other bases
ternary (3) 20011211200
quaternary (4) 131230122
quinary (5) 12343001
senary (6) 2335030
septenary (7) 1014411
nonary (9) 204750
undecimal (11) 8341a
duodecimal (12) 5a476
tridecimal (13) 4348b
tetradecimal (14) 32478
pentadecimal (15) 26086

As an angle

121,626° = 337 × 360° + 306°
306° ≈ 5.341 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαχκϛʹ
Mayan (base 20)
𝋯·𝋤·𝋡·𝋦
Chinese
一十二萬一千六百二十六
Chinese (financial)
壹拾貳萬壹仟陸佰貳拾陸
In other modern scripts
Eastern Arabic ١٢١٦٢٦ Devanagari १२१६२६ Bengali ১২১৬২৬ Tamil ௧௨௧௬௨௬ Thai ๑๒๑๖๒๖ Tibetan ༡༢༡༦༢༦ Khmer ១២១៦២៦ Lao ໑໒໑໖໒໖ Burmese ၁၂၁၆၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121626, here are decompositions:

  • 5 + 121621 = 121626
  • 17 + 121609 = 121626
  • 19 + 121607 = 121626
  • 47 + 121579 = 121626
  • 67 + 121559 = 121626
  • 73 + 121553 = 121626
  • 79 + 121547 = 121626
  • 103 + 121523 = 121626

Showing the first eight; more decompositions exist.

Hex color
#01DB1A
RGB(1, 219, 26)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.26.

Address
0.1.219.26
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.219.26

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 121,626 and was likely granted around 1871.

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

Position in π

The digit sequence 121626 first appears in π at position 212,119 of the decimal expansion (the 212,119ordinal-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°.