λ
Sequence Observatory

792,959

792959
Deficient Odd Prime

Starting at 792,959, the Collatz iteration reaches 1 after 144 steps. The first transition is 2378878; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 792959
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 792,960
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #792941 ← → #792973

Radix Representation

Decimal 792959
Binary 11000001100101111111 (20 bits)
Octal 0o3014577
Hexadecimal 0xC197F

Divisor Catalog (2)

Collatz Trajectory (144 steps to reach 1)

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

792,959 2,378,878 1,189,439 3,568,318 1,784,159 5,352,478 2,676,239 8,028,718 4,014,359 12,043,078 6,021,539 18,064,618 9,032,309 27,096,928 13,548,464 6,774,232 3,387,116 1,693,558 846,779 2,540,338 1,270,169 3,810,508 1,905,254 952,627 2,857,882 1,428,941 4,286,824 2,143,412 1,071,706 535,853 1,607,560 803,780 401,890 200,945 602,836 301,418 150,709 452,128 226,064 113,032 56,516 28,258 14,129 42,388 21,194 10,597 31,792 15,896 7,948 3,974 1,987 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839

More profiles

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