λ
Sigma Notebook

3,007,013

47 × 137 × 467
Deficient Odd Composite

3,007,013 is odd and not a perfect square. Its factorization is 47 × 137 × 467 and its 8 divisors sum to 3,100,032.

Prime Factor Structure

Factorization String 47 × 137 × 467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,100,032
Proper Divisor Sum 93,019
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3007009 ← → #3007019

Radix Representation

Decimal 3007013
Binary 1011011110001000100101 (22 bits)
Octal 0o13361045
Hexadecimal 0x2DE225

Divisor Catalog (8)

1 47 137 467 6,439 21,949 63,979 3,007,013

Collatz Trajectory (138 steps to reach 1)

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

3,007,013 9,021,040 4,510,520 2,255,260 1,127,630 563,815 1,691,446 845,723 2,537,170 1,268,585 3,805,756 1,902,878 951,439 2,854,318 1,427,159 4,281,478 2,140,739 6,422,218 3,211,109 9,633,328 4,816,664 2,408,332 1,204,166 602,083 1,806,250 903,125 2,709,376 1,354,688 677,344 338,672 169,336 84,668 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075

More profiles

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