λ
Sequence Observatory

6,623,652

22 × 3 × 7 × 78853
Abundant Even Composite

Starting at 6,623,652, the Collatz iteration reaches 1 after 209 steps. The first transition is 3311826; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 78853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,663,296
Proper Divisor Sum 11,039,644
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6623611 ← → #6623707

Radix Representation

Decimal 6623652
Binary 11001010001000110100100 (23 bits)
Octal 0o31210644
Hexadecimal 0x6511A4

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 78,853 157,706 236,559 315,412 473,118 551,971 946,236 1,103,942 1,655,913 2,207,884 3,311,826 6,623,652

Collatz Trajectory (209 steps to reach 1)

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

6,623,652 3,311,826 1,655,913 4,967,740 2,483,870 1,241,935 3,725,806 1,862,903 5,588,710 2,794,355 8,383,066 4,191,533 12,574,600 6,287,300 3,143,650 1,571,825 4,715,476 2,357,738 1,178,869 3,536,608 1,768,304 884,152 442,076 221,038 110,519 331,558 165,779 497,338 248,669 746,008 373,004 186,502 93,251 279,754 139,877 419,632 209,816 104,908 52,454 26,227 78,682 39,341 118,024 59,012 29,506 14,753 44,260 22,130 11,065 33,196 16,598 8,299 24,898 12,449 37,348 18,674 9,337 28,012 14,006 7,003

More profiles

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