6,920,500

2² × 5³ × 13841

Starting at 6,920,500, the Collatz iteration reaches 1 after 72 steps. The first transition is 3460250; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 13841

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,115,464

Proper Divisor Sum 8,194,964

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6920489 ← → #6920509

Radix Representation

Decimal	6920500
Binary	11010011001100100110100 (23 bits)
Octal	0o32314464
Hexadecimal	0x699934

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 13,841 27,682 55,364 69,205 138,410 276,820 346,025 692,050 1,384,100 1,730,125 3,460,250 6,920,500

Collatz Trajectory (72 steps to reach 1)

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

6,920,500 3,460,250 1,730,125 5,190,376 2,595,188 1,297,594 648,797 1,946,392 973,196 486,598 243,299 729,898 364,949 1,094,848 547,424 273,712 136,856 68,428 34,214 17,107 51,322 25,661 76,984 38,492 19,246 9,623 28,870 14,435 43,306 21,653 64,960 32,480 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34

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