λ
Sequence Observatory

6,623,734

2 × 13 × 373 × 683
Deficient Even Composite

Starting at 6,623,734, the Collatz iteration reaches 1 after 178 steps. The first transition is 3311867; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 373 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,744,272
Proper Divisor Sum 4,120,538
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6623719 ← → #6623737

Radix Representation

Decimal 6623734
Binary 11001010001000111110110 (23 bits)
Octal 0o31210766
Hexadecimal 0x6511F6

Divisor Catalog (16)

1 2 13 26 373 683 746 1,366 4,849 8,879 9,698 17,758 254,759 509,518 3,311,867 6,623,734

Collatz Trajectory (178 steps to reach 1)

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

6,623,734 3,311,867 9,935,602 4,967,801 14,903,404 7,451,702 3,725,851 11,177,554 5,588,777 16,766,332 8,383,166 4,191,583 12,574,750 6,287,375 18,862,126 9,431,063 28,293,190 14,146,595 42,439,786 21,219,893 63,659,680 31,829,840 15,914,920 7,957,460 3,978,730 1,989,365 5,968,096 2,984,048 1,492,024 746,012 373,006 186,503 559,510 279,755 839,266 419,633 1,258,900 629,450 314,725 944,176 472,088 236,044 118,022 59,011 177,034 88,517 265,552 132,776 66,388 33,194 16,597 49,792 24,896 12,448 6,224 3,112 1,556 778 389 1,168

More profiles

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