693,270

2 × 3² × 5 × 7703

693,270 factors as 2 × 3^2 × 5 × 7703. Its 24 positive divisors give a proper-divisor sum of 1,109,466, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7703

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,802,736

Proper Divisor Sum 1,109,466

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #693257 ← → #693283

Radix Representation

Decimal	693270
Binary	10101001010000010110 (20 bits)
Octal	0o2512026
Hexadecimal	0xA9416

Divisor Catalog (24)

Collatz Trajectory (185 steps to reach 1)

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

693,270 346,635 1,039,906 519,953 1,559,860 779,930 389,965 1,169,896 584,948 292,474 146,237 438,712 219,356 109,678 54,839 164,518 82,259 246,778 123,389 370,168 185,084 92,542 46,271 138,814 69,407 208,222 104,111 312,334 156,167 468,502 234,251 702,754 351,377 1,054,132 527,066 263,533 790,600 395,300 197,650 98,825 296,476 148,238 74,119 222,358 111,179 333,538 166,769 500,308 250,154 125,077 375,232 187,616 93,808 46,904 23,452 11,726 5,863 17,590 8,795 26,386

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