954,024

2³ × 3 × 127 × 313

Starting at 954,024, the Collatz iteration reaches 1 after 77 steps. The first transition is 477012; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 127 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,411,520

Proper Divisor Sum 1,457,496

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #954011 ← → #954043

Radix Representation

Decimal	954024
Binary	11101000111010101000 (20 bits)
Octal	0o3507250
Hexadecimal	0xE8EA8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 127 254 313 381 508 626 762 939 1,016 1,252 1,524 1,878 2,504 3,048 3,756 7,512 39,751 79,502 119,253 159,004 238,506 318,008 477,012 954,024

Collatz Trajectory (77 steps to reach 1)

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

954,024 477,012 238,506 119,253 357,760 178,880 89,440 44,720 22,360 11,180 5,590 2,795 8,386 4,193 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29

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