λ
Sequence Observatory

5,640,767

11 × 512797
Deficient Odd Composite

Starting at 5,640,767, the Collatz iteration reaches 1 after 307 steps. The first transition is 16922302; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 512797
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,153,576
Proper Divisor Sum 512,809
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5640743 ← → #5640769

Radix Representation

Decimal 5640767
Binary 10101100001001000111111 (23 bits)
Octal 0o25411077
Hexadecimal 0x56123F

Divisor Catalog (4)

1 11 512,797 5,640,767

Collatz Trajectory (307 steps to reach 1)

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

5,640,767 16,922,302 8,461,151 25,383,454 12,691,727 38,075,182 19,037,591 57,112,774 28,556,387 85,669,162 42,834,581 128,503,744 64,251,872 32,125,936 16,062,968 8,031,484 4,015,742 2,007,871 6,023,614 3,011,807 9,035,422 4,517,711 13,553,134 6,776,567 20,329,702 10,164,851 30,494,554 15,247,277 45,741,832 22,870,916 11,435,458 5,717,729 17,153,188 8,576,594 4,288,297 12,864,892 6,432,446 3,216,223 9,648,670 4,824,335 14,473,006 7,236,503 21,709,510 10,854,755 32,564,266 16,282,133 48,846,400 24,423,200 12,211,600 6,105,800 3,052,900 1,526,450 763,225 2,289,676 1,144,838 572,419 1,717,258 858,629 2,575,888 1,287,944

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