λ
Sigma Notebook

3,377,125

53 × 27017
Deficient Odd Composite

3,377,125 is odd and not a perfect square. Its factorization is 5^3 × 27017 and its 8 divisors sum to 4,214,808.

Prime Factor Structure

Factorization String 5^3 × 27017
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,214,808
Proper Divisor Sum 837,683
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3377119 ← → #3377141

Radix Representation

Decimal 3377125
Binary 1100111000011111100101 (22 bits)
Octal 0o14703745
Hexadecimal 0x3387E5

Divisor Catalog (8)

1 5 25 125 27,017 135,085 675,425 3,377,125

Collatz Trajectory (146 steps to reach 1)

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

3,377,125 10,131,376 5,065,688 2,532,844 1,266,422 633,211 1,899,634 949,817 2,849,452 1,424,726 712,363 2,137,090 1,068,545 3,205,636 1,602,818 801,409 2,404,228 1,202,114 601,057 1,803,172 901,586 450,793 1,352,380 676,190 338,095 1,014,286 507,143 1,521,430 760,715 2,282,146 1,141,073 3,423,220 1,711,610 855,805 2,567,416 1,283,708 641,854 320,927 962,782 481,391 1,444,174 722,087 2,166,262 1,083,131 3,249,394 1,624,697 4,874,092 2,437,046 1,218,523 3,655,570 1,827,785 5,483,356 2,741,678 1,370,839 4,112,518 2,056,259 6,168,778 3,084,389 9,253,168 4,626,584

More profiles

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