164,640

2⁵ × 3 × 5 × 7³

The decimal integer 164,640 is 101000001100100000 in binary (18 bits), 501440 in octal and 28320 in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7^3

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 604,800

Proper Divisor Sum 440,160

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #164627 ← → #164653

Radix Representation

Decimal	164640
Binary	101000001100100000 (18 bits)
Octal	0o501440
Hexadecimal	0x28320

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 343 392 420 480 490 560 588 672 686 735 784 840 980 1,029

Collatz Trajectory (64 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

164,640 82,320 41,160 20,580 10,290 5,145 15,436 7,718 3,859 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5

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