6,884,304

2⁴ × 3 × 7² × 2927

Starting at 6,884,304, the Collatz iteration reaches 1 after 147 steps. The first transition is 3442152; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 7^2 × 2927

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 20,695,104

Proper Divisor Sum 13,810,800

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6884279 ← → #6884321

Radix Representation

Decimal	6884304
Binary	11010010000101111010000 (23 bits)
Octal	0o32205720
Hexadecimal	0x690BD0

Divisor Catalog (60)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1,176 2,352 2,927 5,854 8,781 11,708 17,562 20,489 23,416 35,124 40,978 46,832 61,467 70,248 81,956 122,934 140,496 143,423 163,912 245,868 286,846 327,824 430,269 491,736 573,692 860,538 983,472 1,147,384 1,721,076 2,294,768 3,442,152 6,884,304

Collatz Trajectory (147 steps to reach 1)

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

6,884,304 3,442,152 1,721,076 860,538 430,269 1,290,808 645,404 322,702 161,351 484,054 242,027 726,082 363,041 1,089,124 544,562 272,281 816,844 408,422 204,211 612,634 306,317 918,952 459,476 229,738 114,869 344,608 172,304 86,152 43,076 21,538 10,769 32,308 16,154 8,077 24,232 12,116 6,058 3,029 9,088 4,544 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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