7,199,829

3² × 7 × 13 × 59 × 149

7,199,829 is odd and not a perfect square. Its factorization is 3^2 × 7 × 13 × 59 × 149 and its 48 divisors sum to 13,104,000.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 59 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,104,000

Proper Divisor Sum 5,904,171

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7199813 ← → #7199839

Radix Representation

Decimal	7199829
Binary	11011011101110001010101 (23 bits)
Octal	0o33356125
Hexadecimal	0x6DDC55

Divisor Catalog (48)

1 3 7 9 13 21 39 59 63 91 117 149 177 273 413 447 531 767 819 1,043 1,239 1,341 1,937 2,301 3,129 3,717 5,369 5,811 6,903 8,791 9,387 13,559 16,107 17,433 26,373 40,677 48,321 61,537 79,119 114,283 122,031 184,611 342,849 553,833 799,981 1,028,547 2,399,943 7,199,829

Collatz Trajectory (160 steps to reach 1)

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

7,199,829 21,599,488 10,799,744 5,399,872 2,699,936 1,349,968 674,984 337,492 168,746 84,373 253,120 126,560 63,280 31,640 15,820 7,910 3,955 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 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215

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