λ
Sequence Observatory

759,163

293 × 2591
Deficient Odd Composite

Starting at 759,163, the Collatz iteration reaches 1 after 105 steps. The first transition is 2277490; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 293 × 2591
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 762,048
Proper Divisor Sum 2,885
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #759149 ← → #759167

Radix Representation

Decimal 759163
Binary 10111001010101111011 (20 bits)
Octal 0o2712573
Hexadecimal 0xB957B

Divisor Catalog (4)

1 293 2,591 759,163

Collatz Trajectory (105 steps to reach 1)

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

759,163 2,277,490 1,138,745 3,416,236 1,708,118 854,059 2,562,178 1,281,089 3,843,268 1,921,634 960,817 2,882,452 1,441,226 720,613 2,161,840 1,080,920 540,460 270,230 135,115 405,346 202,673 608,020 304,010 152,005 456,016 228,008 114,004 57,002 28,501 85,504 42,752 21,376 10,688 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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