3,001,229

7 × 11 × 38977

3,001,229 has digital root 8. The neighboring primes are 3001223 and 3001237; its proper-divisor sum differs from the starting integer by -2,260,570.

Prime Factor Structure

Factorization String 7 × 11 × 38977

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,741,888

Proper Divisor Sum 740,659

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #3001223 ← → #3001237

Radix Representation

Decimal	3001229
Binary	1011011100101110001101 (22 bits)
Octal	0o13345615
Hexadecimal	0x2DCB8D

Divisor Catalog (8)

1 7 11 77 38,977 272,839 428,747 3,001,229

Collatz Trajectory (138 steps to reach 1)

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

3,001,229 9,003,688 4,501,844 2,250,922 1,125,461 3,376,384 1,688,192 844,096 422,048 211,024 105,512 52,756 26,378 13,189 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

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