796,809

3 × 13 × 20431

Starting at 796,809, the Collatz iteration reaches 1 after 237 steps. The first transition is 2390428; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 20431

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,144,192

Proper Divisor Sum 347,383

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #796801 ← → #796813

Radix Representation

Decimal	796809
Binary	11000010100010001001 (20 bits)
Octal	0o3024211
Hexadecimal	0xC2889

Divisor Catalog (8)

1 3 13 39 20,431 61,293 265,603 796,809

Collatz Trajectory (237 steps to reach 1)

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

796,809 2,390,428 1,195,214 597,607 1,792,822 896,411 2,689,234 1,344,617 4,033,852 2,016,926 1,008,463 3,025,390 1,512,695 4,538,086 2,269,043 6,807,130 3,403,565 10,210,696 5,105,348 2,552,674 1,276,337 3,829,012 1,914,506 957,253 2,871,760 1,435,880 717,940 358,970 179,485 538,456 269,228 134,614 67,307 201,922 100,961 302,884 151,442 75,721 227,164 113,582 56,791 170,374 85,187 255,562 127,781 383,344 191,672 95,836 47,918 23,959 71,878 35,939 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054

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