1,536,041

13² × 61 × 149

1,536,041 factors as 13^2 × 61 × 149. Its 12 positive divisors give a proper-divisor sum of 165,859, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 13^2 × 61 × 149

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,701,900

Proper Divisor Sum 165,859

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1536037 ← → #1536047

Radix Representation

Decimal	1536041
Binary	101110111000000101001 (21 bits)
Octal	0o5670051
Hexadecimal	0x177029

Divisor Catalog (12)

1 13 61 149 169 793 1,937 9,089 10,309 25,181 118,157 1,536,041

Collatz Trajectory (256 steps to reach 1)

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

1,536,041 4,608,124 2,304,062 1,152,031 3,456,094 1,728,047 5,184,142 2,592,071 7,776,214 3,888,107 11,664,322 5,832,161 17,496,484 8,748,242 4,374,121 13,122,364 6,561,182 3,280,591 9,841,774 4,920,887 14,762,662 7,381,331 22,143,994 11,071,997 33,215,992 16,607,996 8,303,998 4,151,999 12,455,998 6,227,999 18,683,998 9,341,999 28,025,998 14,012,999 42,038,998 21,019,499 63,058,498 31,529,249 94,587,748 47,293,874 23,646,937 70,940,812 35,470,406 17,735,203 53,205,610 26,602,805 79,808,416 39,904,208 19,952,104 9,976,052 4,988,026 2,494,013 7,482,040 3,741,020 1,870,510 935,255 2,805,766 1,402,883 4,208,650 2,104,325

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