7,829,872

2⁴ × 489367

Starting at 7,829,872, the Collatz iteration reaches 1 after 142 steps. The first transition is 3914936; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 489367

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 15,170,408

Proper Divisor Sum 7,340,536

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7829869 ← → #7829873

Radix Representation

Decimal	7829872
Binary	11101110111100101110000 (23 bits)
Octal	0o35674560
Hexadecimal	0x777970

Divisor Catalog (10)

1 2 4 8 16 489,367 978,734 1,957,468 3,914,936 7,829,872

Collatz Trajectory (142 steps to reach 1)

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

7,829,872 3,914,936 1,957,468 978,734 489,367 1,468,102 734,051 2,202,154 1,101,077 3,303,232 1,651,616 825,808 412,904 206,452 103,226 51,613 154,840 77,420 38,710 19,355 58,066 29,033 87,100 43,550 21,775 65,326 32,663 97,990 48,995 146,986 73,493 220,480 110,240 55,120 27,560 13,780 6,890 3,445 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233

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