λ
Sequence Observatory

7,628,366

2 × 3814183
Deficient Even Composite

Starting at 7,628,366, the Collatz iteration reaches 1 after 248 steps. The first transition is 3814183; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3814183
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,442,552
Proper Divisor Sum 3,814,186
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7628347 ← → #7628377

Radix Representation

Decimal 7628366
Binary 11101000110011001001110 (23 bits)
Octal 0o35063116
Hexadecimal 0x74664E

Divisor Catalog (4)

1 2 3,814,183 7,628,366

Collatz Trajectory (248 steps to reach 1)

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

7,628,366 3,814,183 11,442,550 5,721,275 17,163,826 8,581,913 25,745,740 12,872,870 6,436,435 19,309,306 9,654,653 28,963,960 14,481,980 7,240,990 3,620,495 10,861,486 5,430,743 16,292,230 8,146,115 24,438,346 12,219,173 36,657,520 18,328,760 9,164,380 4,582,190 2,291,095 6,873,286 3,436,643 10,309,930 5,154,965 15,464,896 7,732,448 3,866,224 1,933,112 966,556 483,278 241,639 724,918 362,459 1,087,378 543,689 1,631,068 815,534 407,767 1,223,302 611,651 1,834,954 917,477 2,752,432 1,376,216 688,108 344,054 172,027 516,082 258,041 774,124 387,062 193,531 580,594 290,297

More profiles

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