961,767

3³ × 179 × 199

Starting at 961,767, the Collatz iteration reaches 1 after 170 steps. The first transition is 2885302; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 179 × 199

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,440,000

Proper Divisor Sum 478,233

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #961757 ← → #961769

Radix Representation

Decimal	961767
Binary	11101010110011100111 (20 bits)
Octal	0o3526347
Hexadecimal	0xEACE7

Divisor Catalog (16)

1 3 9 27 179 199 537 597 1,611 1,791 4,833 5,373 35,621 106,863 320,589 961,767

Collatz Trajectory (170 steps to reach 1)

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

961,767 2,885,302 1,442,651 4,327,954 2,163,977 6,491,932 3,245,966 1,622,983 4,868,950 2,434,475 7,303,426 3,651,713 10,955,140 5,477,570 2,738,785 8,216,356 4,108,178 2,054,089 6,162,268 3,081,134 1,540,567 4,621,702 2,310,851 6,932,554 3,466,277 10,398,832 5,199,416 2,599,708 1,299,854 649,927 1,949,782 974,891 2,924,674 1,462,337 4,387,012 2,193,506 1,096,753 3,290,260 1,645,130 822,565 2,467,696 1,233,848 616,924 308,462 154,231 462,694 231,347 694,042 347,021 1,041,064 520,532 260,266 130,133 390,400 195,200 97,600 48,800 24,400 12,200 6,100

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