7,042,368

2⁶ × 3 × 43 × 853

7,042,368 has digital root 3. The neighboring primes are 7042367 and 7042379; its proper-divisor sum differs from the starting integer by 5,003,872.

Prime Factor Structure

Factorization String 2^6 × 3 × 43 × 853

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 19,088,608

Proper Divisor Sum 12,046,240

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7042367 ← → #7042379

Radix Representation

Decimal	7042368
Binary	11010110111010101000000 (23 bits)
Octal	0o32672500
Hexadecimal	0x6B7540

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 853 1,032 1,376 1,706 2,064 2,559 2,752 3,412 4,128 5,118 6,824 8,256 10,236 13,648 20,472 27,296 36,679 40,944 54,592 73,358 81,888 110,037 146,716 163,776 220,074 293,432 440,148 586,864 880,296 1,173,728 1,760,592 2,347,456 3,521,184 7,042,368

Collatz Trajectory (160 steps to reach 1)

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

7,042,368 3,521,184 1,760,592 880,296 440,148 220,074 110,037 330,112 165,056 82,528 41,264 20,632 10,316 5,158 2,579 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214

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