7,208,523

3² × 7 × 31 × 3691

7,208,523 factors as 3^2 × 7 × 31 × 3691. Its 24 positive divisors give a proper-divisor sum of 5,078,453, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 31 × 3691

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,286,976

Proper Divisor Sum 5,078,453

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7208521 ← → #7208533

Radix Representation

Decimal	7208523
Binary	11011011111111001001011 (23 bits)
Octal	0o33377113
Hexadecimal	0x6DFE4B

Divisor Catalog (24)

Collatz Trajectory (235 steps to reach 1)

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

7,208,523 21,625,570 10,812,785 32,438,356 16,219,178 8,109,589 24,328,768 12,164,384 6,082,192 3,041,096 1,520,548 760,274 380,137 1,140,412 570,206 285,103 855,310 427,655 1,282,966 641,483 1,924,450 962,225 2,886,676 1,443,338 721,669 2,165,008 1,082,504 541,252 270,626 135,313 405,940 202,970 101,485 304,456 152,228 76,114 38,057 114,172 57,086 28,543 85,630 42,815 128,446 64,223 192,670 96,335 289,006 144,503 433,510 216,755 650,266 325,133 975,400 487,700 243,850 121,925 365,776 182,888 91,444 45,722

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