3,247,965

3³ × 5 × 7² × 491

3,247,965 is odd and not a perfect square. Its factorization is 3^3 × 5 × 7^2 × 491 and its 48 divisors sum to 6,730,560.

Prime Factor Structure

Factorization String 3^3 × 5 × 7^2 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,730,560

Proper Divisor Sum 3,482,595

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3247961 ← → #3247973

Radix Representation

Decimal	3247965
Binary	1100011000111101011101 (22 bits)
Octal	0o14307535
Hexadecimal	0x318F5D

Divisor Catalog (48)

1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 491 735 945 1,323 1,473 2,205 2,455 3,437 4,419 6,615 7,365 10,311 13,257 17,185 22,095 24,059 30,933 51,555 66,285 72,177 92,799 120,295 154,665 216,531 360,885 463,995 649,593 1,082,655 3,247,965

Collatz Trajectory (208 steps to reach 1)

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

3,247,965 9,743,896 4,871,948 2,435,974 1,217,987 3,653,962 1,826,981 5,480,944 2,740,472 1,370,236 685,118 342,559 1,027,678 513,839 1,541,518 770,759 2,312,278 1,156,139 3,468,418 1,734,209 5,202,628 2,601,314 1,300,657 3,901,972 1,950,986 975,493 2,926,480 1,463,240 731,620 365,810 182,905 548,716 274,358 137,179 411,538 205,769 617,308 308,654 154,327 462,982 231,491 694,474 347,237 1,041,712 520,856 260,428 130,214 65,107 195,322 97,661 292,984 146,492 73,246 36,623 109,870 54,935 164,806 82,403 247,210 123,605

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