8,084,464

2⁴ × 505279

Starting at 8,084,464, the Collatz iteration reaches 1 after 124 steps. The first transition is 4042232; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 505279

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 15,663,680

Proper Divisor Sum 7,579,216

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8084441 ← → #8084467

Radix Representation

Decimal	8084464
Binary	11110110101101111110000 (23 bits)
Octal	0o36655760
Hexadecimal	0x7B5BF0

Divisor Catalog (10)

1 2 4 8 16 505,279 1,010,558 2,021,116 4,042,232 8,084,464

Collatz Trajectory (124 steps to reach 1)

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

8,084,464 4,042,232 2,021,116 1,010,558 505,279 1,515,838 757,919 2,273,758 1,136,879 3,410,638 1,705,319 5,115,958 2,557,979 7,673,938 3,836,969 11,510,908 5,755,454 2,877,727 8,633,182 4,316,591 12,949,774 6,474,887 19,424,662 9,712,331 29,136,994 14,568,497 43,705,492 21,852,746 10,926,373 32,779,120 16,389,560 8,194,780 4,097,390 2,048,695 6,146,086 3,073,043 9,219,130 4,609,565 13,828,696 6,914,348 3,457,174 1,728,587 5,185,762 2,592,881 7,778,644 3,889,322 1,944,661 5,833,984 2,916,992 1,458,496 729,248 364,624 182,312 91,156 45,578 22,789 68,368 34,184 17,092 8,546

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