9,723,978

2 × 3² × 11 × 67 × 733

9,723,978 is even and not a perfect square. Its factorization is 2 × 3^2 × 11 × 67 × 733 and its 48 divisors sum to 23,358,816.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 67 × 733

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,358,816

Proper Divisor Sum 13,634,838

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9723943 ← → #9723979

Radix Representation

Decimal	9723978
Binary	100101000110000001001010 (24 bits)
Octal	0o45060112
Hexadecimal	0x94604A

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 733 737 1,206 1,466 1,474 2,199 2,211 4,398 4,422 6,597 6,633 8,063 13,194 13,266 16,126 24,189 48,378 49,111 72,567 98,222 145,134 147,333 294,666 441,999 540,221 883,998 1,080,442 1,620,663 3,241,326 4,861,989 9,723,978

Collatz Trajectory (207 steps to reach 1)

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

9,723,978 4,861,989 14,585,968 7,292,984 3,646,492 1,823,246 911,623 2,734,870 1,367,435 4,102,306 2,051,153 6,153,460 3,076,730 1,538,365 4,615,096 2,307,548 1,153,774 576,887 1,730,662 865,331 2,595,994 1,297,997 3,893,992 1,946,996 973,498 486,749 1,460,248 730,124 365,062 182,531 547,594 273,797 821,392 410,696 205,348 102,674 51,337 154,012 77,006 38,503 115,510 57,755 173,266 86,633 259,900 129,950 64,975 194,926 97,463 292,390 146,195 438,586 219,293 657,880 328,940 164,470 82,235 246,706 123,353 370,060

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