812,997

3⁴ × 10037

Starting at 812,997, the Collatz iteration reaches 1 after 206 steps. The first transition is 2438992; the starting value is odd with 10 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 10037

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,214,598

Proper Divisor Sum 401,601

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #812969 ← → #813013

Radix Representation

Decimal	812997
Binary	11000110011111000101 (20 bits)
Octal	0o3063705
Hexadecimal	0xC67C5

Divisor Catalog (10)

1 3 9 27 81 10,037 30,111 90,333 270,999 812,997

Collatz Trajectory (206 steps to reach 1)

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

812,997 2,438,992 1,219,496 609,748 304,874 152,437 457,312 228,656 114,328 57,164 28,582 14,291 42,874 21,437 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159

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