956,328

2³ × 3 × 39847

Starting at 956,328, the Collatz iteration reaches 1 after 77 steps. The first transition is 478164; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 39847

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,390,880

Proper Divisor Sum 1,434,552

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #956311 ← → #956341

Radix Representation

Decimal	956328
Binary	11101001011110101000 (20 bits)
Octal	0o3513650
Hexadecimal	0xE97A8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 39,847 79,694 119,541 159,388 239,082 318,776 478,164 956,328

Collatz Trajectory (77 steps to reach 1)

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

956,328 478,164 239,082 119,541 358,624 179,312 89,656 44,828 22,414 11,207 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29

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