3,075,849

3² × 7 × 48823

3,075,849 factors as 3^2 × 7 × 48823. Its 12 positive divisors give a proper-divisor sum of 2,001,847, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 48823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,077,696

Proper Divisor Sum 2,001,847

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3075829 ← → #3075857

Radix Representation

Decimal	3075849
Binary	1011101110111100001001 (22 bits)
Octal	0o13567411
Hexadecimal	0x2EEF09

Divisor Catalog (12)

1 3 7 9 21 63 48,823 146,469 341,761 439,407 1,025,283 3,075,849

Collatz Trajectory (120 steps to reach 1)

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

3,075,849 9,227,548 4,613,774 2,306,887 6,920,662 3,460,331 10,380,994 5,190,497 15,571,492 7,785,746 3,892,873 11,678,620 5,839,310 2,919,655 8,758,966 4,379,483 13,138,450 6,569,225 19,707,676 9,853,838 4,926,919 14,780,758 7,390,379 22,171,138 11,085,569 33,256,708 16,628,354 8,314,177 24,942,532 12,471,266 6,235,633 18,706,900 9,353,450 4,676,725 14,030,176 7,015,088 3,507,544 1,753,772 876,886 438,443 1,315,330 657,665 1,972,996 986,498 493,249 1,479,748 739,874 369,937 1,109,812 554,906 277,453 832,360 416,180 208,090 104,045 312,136 156,068 78,034 39,017 117,052

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