λ
Sequence Observatory

3,776,041

19 × 353 × 563
Deficient Odd Composite

Starting at 3,776,041, the Collatz iteration reaches 1 after 234 steps. The first transition is 11328124; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 353 × 563
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,993,120
Proper Divisor Sum 217,079
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3776039 ← → #3776077

Radix Representation

Decimal 3776041
Binary 1110011001111000101001 (22 bits)
Octal 0o16317051
Hexadecimal 0x399E29

Divisor Catalog (8)

1 19 353 563 6,707 10,697 198,739 3,776,041

Collatz Trajectory (234 steps to reach 1)

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

3,776,041 11,328,124 5,664,062 2,832,031 8,496,094 4,248,047 12,744,142 6,372,071 19,116,214 9,558,107 28,674,322 14,337,161 43,011,484 21,505,742 10,752,871 32,258,614 16,129,307 48,387,922 24,193,961 72,581,884 36,290,942 18,145,471 54,436,414 27,218,207 81,654,622 40,827,311 122,481,934 61,240,967 183,722,902 91,861,451 275,584,354 137,792,177 413,376,532 206,688,266 103,344,133 310,032,400 155,016,200 77,508,100 38,754,050 19,377,025 58,131,076 29,065,538 14,532,769 43,598,308 21,799,154 10,899,577 32,698,732 16,349,366 8,174,683 24,524,050 12,262,025 36,786,076 18,393,038 9,196,519 27,589,558 13,794,779 41,384,338 20,692,169 62,076,508 31,038,254

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