3,446,472

2³ × 3 × 163 × 881

3,446,472 has the prime decomposition 2^3 × 3 × 163 × 881. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 163 × 881

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,678,880

Proper Divisor Sum 5,232,408

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3446459 ← → #3446473

Radix Representation

Decimal	3446472
Binary	1101001001011011001000 (22 bits)
Octal	0o15113310
Hexadecimal	0x3496C8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 163 326 489 652 881 978 1,304 1,762 1,956 2,643 3,524 3,912 5,286 7,048 10,572 21,144 143,603 287,206 430,809 574,412 861,618 1,148,824 1,723,236 3,446,472

Collatz Trajectory (177 steps to reach 1)

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

3,446,472 1,723,236 861,618 430,809 1,292,428 646,214 323,107 969,322 484,661 1,453,984 726,992 363,496 181,748 90,874 45,437 136,312 68,156 34,078 17,039 51,118 25,559 76,678 38,339 115,018 57,509 172,528 86,264 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869

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