929,008

2⁴ × 31 × 1873

Starting at 929,008, the Collatz iteration reaches 1 after 77 steps. The first transition is 464504; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 31 × 1873

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,859,008

Proper Divisor Sum 930,000

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #929003 ← → #929009

Radix Representation

Decimal	929008
Binary	11100010110011110000 (20 bits)
Octal	0o3426360
Hexadecimal	0xE2CF0

Divisor Catalog (20)

1 2 4 8 16 31 62 124 248 496 1,873 3,746 7,492 14,984 29,968 58,063 116,126 232,252 464,504 929,008

Collatz Trajectory (77 steps to reach 1)

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

929,008 464,504 232,252 116,126 58,063 174,190 87,095 261,286 130,643 391,930 195,965 587,896 293,948 146,974 73,487 220,462 110,231 330,694 165,347 496,042 248,021 744,064 372,032 186,016 93,008 46,504 23,252 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28

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