λ
Sequence Observatory

765,847

765847
Deficient Odd Prime

Starting at 765,847, the Collatz iteration reaches 1 after 180 steps. The first transition is 2297542; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 765847
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 765,848
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #765827 ← → #765851

Radix Representation

Decimal 765847
Binary 10111010111110010111 (20 bits)
Octal 0o2727627
Hexadecimal 0xBAF97

Divisor Catalog (2)

Collatz Trajectory (180 steps to reach 1)

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

765,847 2,297,542 1,148,771 3,446,314 1,723,157 5,169,472 2,584,736 1,292,368 646,184 323,092 161,546 80,773 242,320 121,160 60,580 30,290 15,145 45,436 22,718 11,359 34,078 17,039 51,118 25,559 76,678 38,339 115,018 57,509 172,528 86,264 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158

More profiles

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