3,315,424

2⁵ × 7 × 19² × 41

3,315,424 has the prime decomposition 2^5 × 7 × 19^2 × 41. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 19^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 8,065,008

Proper Divisor Sum 4,749,584

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3315421 ← → #3315439

Radix Representation

Decimal	3315424
Binary	1100101001011011100000 (22 bits)
Octal	0o14513340
Hexadecimal	0x3296E0

Divisor Catalog (60 of 72)

1 2 4 7 8 14 16 19 28 32 38 41 56 76 82 112 133 152 164 224 266 287 304 328 361 532 574 608 656 722 779 1,064 1,148 1,312 1,444 1,558 2,128 2,296 2,527 2,888 3,116 4,256 4,592 5,054 5,453 5,776 6,232 9,184 10,108 10,906 11,552 12,464 14,801 20,216 21,812 24,928 29,602 40,432 43,624 59,204

Collatz Trajectory (115 steps to reach 1)

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

3,315,424 1,657,712 828,856 414,428 207,214 103,607 310,822 155,411 466,234 233,117 699,352 349,676 174,838 87,419 262,258 131,129 393,388 196,694 98,347 295,042 147,521 442,564 221,282 110,641 331,924 165,962 82,981 248,944 124,472 62,236 31,118 15,559 46,678 23,339 70,018 35,009 105,028 52,514 26,257 78,772 39,386 19,693 59,080 29,540 14,770 7,385 22,156 11,078 5,539 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508

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