3,046,054

2 × 11² × 41 × 307

3,046,054 factors as 2 × 11^2 × 41 × 307. Its 24 positive divisors give a proper-divisor sum of 2,115,410, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 41 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,161,464

Proper Divisor Sum 2,115,410

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3046039 ← → #3046067

Radix Representation

Decimal	3046054
Binary	1011100111101010100110 (22 bits)
Octal	0o13475246
Hexadecimal	0x2E7AA6

Divisor Catalog (24)

1 2 11 22 41 82 121 242 307 451 614 902 3,377 4,961 6,754 9,922 12,587 25,174 37,147 74,294 138,457 276,914 1,523,027 3,046,054

Collatz Trajectory (107 steps to reach 1)

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

3,046,054 1,523,027 4,569,082 2,284,541 6,853,624 3,426,812 1,713,406 856,703 2,570,110 1,285,055 3,855,166 1,927,583 5,782,750 2,891,375 8,674,126 4,337,063 13,011,190 6,505,595 19,516,786 9,758,393 29,275,180 14,637,590 7,318,795 21,956,386 10,978,193 32,934,580 16,467,290 8,233,645 24,700,936 12,350,468 6,175,234 3,087,617 9,262,852 4,631,426 2,315,713 6,947,140 3,473,570 1,736,785 5,210,356 2,605,178 1,302,589 3,907,768 1,953,884 976,942 488,471 1,465,414 732,707 2,198,122 1,099,061 3,297,184 1,648,592 824,296 412,148 206,074 103,037 309,112 154,556 77,278 38,639 115,918

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