3,370,752

2⁸ × 3² × 7 × 11 × 19

3,370,752 factors as 2^8 × 3^2 × 7 × 11 × 19. Its 216 positive divisors give a proper-divisor sum of 9,383,808, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^8 × 3^2 × 7 × 11 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 12,754,560

Proper Divisor Sum 9,383,808

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3370751 ← → #3370769

Radix Representation

Decimal	3370752
Binary	1100110110111100000000 (22 bits)
Octal	0o14667400
Hexadecimal	0x336F00

Divisor Catalog (60 of 216)

1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 32 33 36 38 42 44 48 56 57 63 64 66 72 76 77 84 88 96 99 112 114 126 128 132 133 144 152 154 168 171 176 192 198 209 224 228 231 252 256 264 266 288

Collatz Trajectory (177 steps to reach 1)

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

3,370,752 1,685,376 842,688 421,344 210,672 105,336 52,668 26,334 13,167 39,502 19,751 59,254 29,627 88,882 44,441 133,324 66,662 33,331 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598

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