1,079,824

2⁴ × 67489

Starting at 1,079,824, the Collatz iteration reaches 1 after 165 steps. The first transition is 539912; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 67489

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 2,092,190

Proper Divisor Sum 1,012,366

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1079821 ← → #1079831

Radix Representation

Decimal	1079824
Binary	100000111101000010000 (21 bits)
Octal	0o4075020
Hexadecimal	0x107A10

Divisor Catalog (10)

1 2 4 8 16 67,489 134,978 269,956 539,912 1,079,824

Collatz Trajectory (165 steps to reach 1)

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

1,079,824 539,912 269,956 134,978 67,489 202,468 101,234 50,617 151,852 75,926 37,963 113,890 56,945 170,836 85,418 42,709 128,128 64,064 32,032 16,016 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144

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