λ
Sigma Notebook

4,004,063

7 × 97 × 5897
Deficient Odd Composite

4,004,063 is odd and not a perfect square. Its factorization is 7 × 97 × 5897 and its 8 divisors sum to 4,624,032.

Prime Factor Structure

Factorization String 7 × 97 × 5897
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,624,032
Proper Divisor Sum 619,969
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4004057 ← → #4004069

Radix Representation

Decimal 4004063
Binary 1111010001100011011111 (22 bits)
Octal 0o17214337
Hexadecimal 0x3D18DF

Divisor Catalog (8)

1 7 97 679 5,897 41,279 572,009 4,004,063

Collatz Trajectory (260 steps to reach 1)

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

4,004,063 12,012,190 6,006,095 18,018,286 9,009,143 27,027,430 13,513,715 40,541,146 20,270,573 60,811,720 30,405,860 15,202,930 7,601,465 22,804,396 11,402,198 5,701,099 17,103,298 8,551,649 25,654,948 12,827,474 6,413,737 19,241,212 9,620,606 4,810,303 14,430,910 7,215,455 21,646,366 10,823,183 32,469,550 16,234,775 48,704,326 24,352,163 73,056,490 36,528,245 109,584,736 54,792,368 27,396,184 13,698,092 6,849,046 3,424,523 10,273,570 5,136,785 15,410,356 7,705,178 3,852,589 11,557,768 5,778,884 2,889,442 1,444,721 4,334,164 2,167,082 1,083,541 3,250,624 1,625,312 812,656 406,328 203,164 101,582 50,791 152,374

More profiles

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