7,208,817

3 × 7 × 11² × 2837

7,208,817 factors as 3 × 7 × 11^2 × 2837. Its 24 positive divisors give a proper-divisor sum of 4,869,711, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11^2 × 2837

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,078,528

Proper Divisor Sum 4,869,711

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7208807 ← → #7208827

Radix Representation

Decimal	7208817
Binary	11011011111111101110001 (23 bits)
Octal	0o33377561
Hexadecimal	0x6DFF71

Divisor Catalog (24)

Collatz Trajectory (116 steps to reach 1)

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

7,208,817 21,626,452 10,813,226 5,406,613 16,219,840 8,109,920 4,054,960 2,027,480 1,013,740 506,870 253,435 760,306 380,153 1,140,460 570,230 285,115 855,346 427,673 1,283,020 641,510 320,755 962,266 481,133 1,443,400 721,700 360,850 180,425 541,276 270,638 135,319 405,958 202,979 608,938 304,469 913,408 456,704 228,352 114,176 57,088 28,544 14,272 7,136 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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