λ
Sequence Observatory

5,165,801

5165801
Deficient Odd Prime

Starting at 5,165,801, the Collatz iteration reaches 1 after 250 steps. The first transition is 15497404; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 5165801
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,165,802
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5165791 ← → #5165803

Radix Representation

Decimal 5165801
Binary 10011101101001011101001 (23 bits)
Octal 0o23551351
Hexadecimal 0x4ED2E9

Divisor Catalog (2)

Collatz Trajectory (250 steps to reach 1)

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

5,165,801 15,497,404 7,748,702 3,874,351 11,623,054 5,811,527 17,434,582 8,717,291 26,151,874 13,075,937 39,227,812 19,613,906 9,806,953 29,420,860 14,710,430 7,355,215 22,065,646 11,032,823 33,098,470 16,549,235 49,647,706 24,823,853 74,471,560 37,235,780 18,617,890 9,308,945 27,926,836 13,963,418 6,981,709 20,945,128 10,472,564 5,236,282 2,618,141 7,854,424 3,927,212 1,963,606 981,803 2,945,410 1,472,705 4,418,116 2,209,058 1,104,529 3,313,588 1,656,794 828,397 2,485,192 1,242,596 621,298 310,649 931,948 465,974 232,987 698,962 349,481 1,048,444 524,222 262,111 786,334 393,167 1,179,502

More profiles

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