3,357,504

2⁶ × 3³ × 29 × 67

3,357,504 factors as 2^6 × 3^3 × 29 × 67. Its 112 positive divisors give a proper-divisor sum of 7,005,696, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 29 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 10,363,200

Proper Divisor Sum 7,005,696

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3357493 ← → #3357511

Radix Representation

Decimal	3357504
Binary	1100110011101101000000 (22 bits)
Octal	0o14635500
Hexadecimal	0x333B40

Divisor Catalog (60 of 112)

1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 67 72 87 96 108 116 134 144 174 192 201 216 232 261 268 288 348 402 432 464 522 536 576 603 696 783 804 864 928 1,044 1,072 1,206 1,392 1,566 1,608 1,728 1,809 1,856 1,943 2,088 2,144

Collatz Trajectory (115 steps to reach 1)

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

3,357,504 1,678,752 839,376 419,688 209,844 104,922 52,461 157,384 78,692 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323

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