Live analysis

121,764

121,764 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.).

121,764 (one hundred twenty-one thousand seven hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 73 × 139. Its proper divisors sum to 168,316, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DBA4.

Abundant Number Cube-Free Evil Number Self Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

121,752 121,753 121,754 121,755 121,756 121,757 121,758 121,759 121,760 121,761 121,762 121,763 121,764 121,765 121,766 121,767 121,768 121,769 121,770 121,771 121,772 121,773 121,774 121,775 121,776

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 336
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 467,121
Square (n²): 14,826,471,696
Cube (n³): 1,805,330,499,591,744
Divisor count: 24
σ(n) — sum of divisors: 290,080
φ(n) — Euler's totient: 39,744
Sum of prime factors: 219

Primality

Prime factorization: 2 ² × 3 × 73 × 139

Nearest primes: 121,763 (−1) · 121,787 (+23)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 73 · 139 · 146 · 219 · 278 · 292 · 417 · 438 · 556 · 834 · 876 · 1668 · 10147 · 20294 · 30441 · 40588 · 60882 (half) · 121764

Aliquot sum (sum of proper divisors): 168,316

Factor pairs (a × b = 121,764)

1 × 121764

2 × 60882

3 × 40588

4 × 30441

6 × 20294

12 × 10147

73 × 1668

139 × 876

146 × 834

219 × 556

278 × 438

292 × 417

First multiples

121,764 · 243,528 (double) · 365,292 · 487,056 · 608,820 · 730,584 · 852,348 · 974,112 · 1,095,876 · 1,217,640

Sums & aliquot sequence

As consecutive integers: 40,587 + 40,588 + 40,589 15,217 + 15,218 + … + 15,224 5,062 + 5,063 + … + 5,085 1,632 + 1,633 + … + 1,704

Aliquot sequence: 121,764 → 168,316 → 136,604 → 131,524 → 101,324 → 78,940 → 86,876 → 69,532 → 52,156 → 53,684 → 40,270 → 32,234 → 17,014 → 9,194 → 4,600 → 6,560 → 9,316 — unresolved within range

Continued fraction of √n

√121,764 = [348; (1, 17, 1, 6, 3, 9, 1, 3, 1, 10, 9, 4, 1, 2, 2, 1, 2, 1, 1, 5, 5, 3, 1, 1, …)]

Representations

In words: one hundred twenty-one thousand seven hundred sixty-four
Ordinal: 121764th
Binary: 11101101110100100
Octal: 355644
Hexadecimal: 0x1DBA4
Base64: Aduk
One's complement: 4,294,845,531 (32-bit)
Scientific notation: 1.21764 × 10⁵
As a duration: 121,764 s = 1 day, 9 hours, 49 minutes, 24 seconds

In other bases

ternary (3) 20012000210

quaternary (4) 131232210

quinary (5) 12344024

senary (6) 2335420

septenary (7) 1014666

nonary (9) 205023

undecimal (11) 83535

duodecimal (12) 5a570

tridecimal (13) 43566

tetradecimal (14) 32536

pentadecimal (15) 26129

As an angle

121,764° = 338 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκαψξδʹ
Mayan (base 20): 𝋯·𝋤·𝋨·𝋤
Chinese: 一十二萬一千七百六十四
Chinese (financial): 壹拾貳萬壹仟柒佰陸拾肆

In other modern scripts

Eastern Arabic ١٢١٧٦٤ Devanagari १२१७६४ Bengali ১২১৭৬৪ Tamil ௧௨௧௭௬௪ Thai ๑๒๑๗๖๔ Tibetan ༡༢༡༧༦༤ Khmer ១២១៧៦៤ Lao ໑໒໑໗໖໔ Burmese ၁၂၁၇၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121764, here are decompositions:

37 + 121727 = 121764
43 + 121721 = 121764
53 + 121711 = 121764
67 + 121697 = 121764
103 + 121661 = 121764
127 + 121637 = 121764
131 + 121633 = 121764
157 + 121607 = 121764

Showing the first eight; more decompositions exist.

Hex color

#01DBA4

RGB(1, 219, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.164.

Address: 0.1.219.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.219.164

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 121,764 and was likely granted around 1871.

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

Look up US121,764 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 121764 first appears in π at position 588,808 of the decimal expansion (the 588,808ordinal-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.

Look up 121764 on Pi Search ↗