λ
Prime Ledger

6,984,260

22 × 5 × 137 × 2549
Abundant Even Composite

6,984,260 has the prime decomposition 2^2 × 5 × 137 × 2549. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 137 × 2549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,779,800
Proper Divisor Sum 7,795,540
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6984253 ← → #6984277

Radix Representation

Decimal 6984260
Binary 11010101001001001000100 (23 bits)
Octal 0o32511104
Hexadecimal 0x6A9244

Divisor Catalog (24)

1 2 4 5 10 20 137 274 548 685 1,370 2,549 2,740 5,098 10,196 12,745 25,490 50,980 349,213 698,426 1,396,852 1,746,065 3,492,130 6,984,260

Collatz Trajectory (328 steps to reach 1)

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

6,984,260 3,492,130 1,746,065 5,238,196 2,619,098 1,309,549 3,928,648 1,964,324 982,162 491,081 1,473,244 736,622 368,311 1,104,934 552,467 1,657,402 828,701 2,486,104 1,243,052 621,526 310,763 932,290 466,145 1,398,436 699,218 349,609 1,048,828 524,414 262,207 786,622 393,311 1,179,934 589,967 1,769,902 884,951 2,654,854 1,327,427 3,982,282 1,991,141 5,973,424 2,986,712 1,493,356 746,678 373,339 1,120,018 560,009 1,680,028 840,014 420,007 1,260,022 630,011 1,890,034 945,017 2,835,052 1,417,526 708,763 2,126,290 1,063,145 3,189,436 1,594,718

More profiles

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