6,824,528

2⁴ × 227 × 1879

Starting at 6,824,528, the Collatz iteration reaches 1 after 85 steps. The first transition is 3412264; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 227 × 1879

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 13,287,840

Proper Divisor Sum 6,463,312

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6824527 ← → #6824561

Radix Representation

Decimal	6824528
Binary	11010000010001001010000 (23 bits)
Octal	0o32021120
Hexadecimal	0x682250

Divisor Catalog (20)

1 2 4 8 16 227 454 908 1,816 1,879 3,632 3,758 7,516 15,032 30,064 426,533 853,066 1,706,132 3,412,264 6,824,528

Collatz Trajectory (85 steps to reach 1)

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

6,824,528 3,412,264 1,706,132 853,066 426,533 1,279,600 639,800 319,900 159,950 79,975 239,926 119,963 359,890 179,945 539,836 269,918 134,959 404,878 202,439 607,318 303,659 910,978 455,489 1,366,468 683,234 341,617 1,024,852 512,426 256,213 768,640 384,320 192,160 96,080 48,040 24,020 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202

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