3,323,775

3 × 5² × 7 × 13 × 487

3,323,775 factors as 3 × 5^2 × 7 × 13 × 487. Its 48 positive divisors give a proper-divisor sum of 3,453,569, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 13 × 487

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,777,344

Proper Divisor Sum 3,453,569

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3323731 ← → #3323783

Radix Representation

Decimal	3323775
Binary	1100101011011101111111 (22 bits)
Octal	0o14533577
Hexadecimal	0x32B77F

Divisor Catalog (48)

1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 455 487 525 975 1,365 1,461 2,275 2,435 3,409 6,331 6,825 7,305 10,227 12,175 17,045 18,993 31,655 36,525 44,317 51,135 85,225 94,965 132,951 158,275 221,585 255,675 474,825 664,755 1,107,925 3,323,775

Collatz Trajectory (190 steps to reach 1)

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

3,323,775 9,971,326 4,985,663 14,956,990 7,478,495 22,435,486 11,217,743 33,653,230 16,826,615 50,479,846 25,239,923 75,719,770 37,859,885 113,579,656 56,789,828 28,394,914 14,197,457 42,592,372 21,296,186 10,648,093 31,944,280 15,972,140 7,986,070 3,993,035 11,979,106 5,989,553 17,968,660 8,984,330 4,492,165 13,476,496 6,738,248 3,369,124 1,684,562 842,281 2,526,844 1,263,422 631,711 1,895,134 947,567 2,842,702 1,421,351 4,264,054 2,132,027 6,396,082 3,198,041 9,594,124 4,797,062 2,398,531 7,195,594 3,597,797 10,793,392 5,396,696 2,698,348 1,349,174 674,587 2,023,762 1,011,881 3,035,644 1,517,822 758,911

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