967,576

2³ × 120947

Starting at 967,576, the Collatz iteration reaches 1 after 95 steps. The first transition is 483788; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 120947

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,814,220

Proper Divisor Sum 846,644

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #967567 ← → #967583

Radix Representation

Decimal	967576
Binary	11101100001110011000 (20 bits)
Octal	0o3541630
Hexadecimal	0xEC398

Divisor Catalog (8)

1 2 4 8 120,947 241,894 483,788 967,576

Collatz Trajectory (95 steps to reach 1)

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

967,576 483,788 241,894 120,947 362,842 181,421 544,264 272,132 136,066 68,033 204,100 102,050 51,025 153,076 76,538 38,269 114,808 57,404 28,702 14,351 43,054 21,527 64,582 32,291 96,874 48,437 145,312 72,656 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025

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