λ
Sequence Observatory

7,501,369

17 × 441257
Deficient Odd Composite

Starting at 7,501,369, the Collatz iteration reaches 1 after 160 steps. The first transition is 22504108; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 17 × 441257
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,942,644
Proper Divisor Sum 441,275
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7501367 ← → #7501379

Radix Representation

Decimal 7501369
Binary 11100100111011000111001 (23 bits)
Octal 0o34473071
Hexadecimal 0x727639

Divisor Catalog (4)

1 17 441,257 7,501,369

Collatz Trajectory (160 steps to reach 1)

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

7,501,369 22,504,108 11,252,054 5,626,027 16,878,082 8,439,041 25,317,124 12,658,562 6,329,281 18,987,844 9,493,922 4,746,961 14,240,884 7,120,442 3,560,221 10,680,664 5,340,332 2,670,166 1,335,083 4,005,250 2,002,625 6,007,876 3,003,938 1,501,969 4,505,908 2,252,954 1,126,477 3,379,432 1,689,716 844,858 422,429 1,267,288 633,644 316,822 158,411 475,234 237,617 712,852 356,426 178,213 534,640 267,320 133,660 66,830 33,415 100,246 50,123 150,370 75,185 225,556 112,778 56,389 169,168 84,584 42,292 21,146 10,573 31,720 15,860 7,930

More profiles

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