λ
Sequence Observatory

9,856,742

2 × 72 × 23 × 4373
Deficient Even Composite

Starting at 9,856,742, the Collatz iteration reaches 1 after 83 steps. The first transition is 4928371; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 23 × 4373
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,950,896
Proper Divisor Sum 8,094,154
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9856741 ← → #9856757

Radix Representation

Decimal 9856742
Binary 100101100110011011100110 (24 bits)
Octal 0o45463346
Hexadecimal 0x9666E6

Divisor Catalog (24)

1 2 7 14 23 46 49 98 161 322 1,127 2,254 4,373 8,746 30,611 61,222 100,579 201,158 214,277 428,554 704,053 1,408,106 4,928,371 9,856,742

Collatz Trajectory (83 steps to reach 1)

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

9,856,742 4,928,371 14,785,114 7,392,557 22,177,672 11,088,836 5,544,418 2,772,209 8,316,628 4,158,314 2,079,157 6,237,472 3,118,736 1,559,368 779,684 389,842 194,921 584,764 292,382 146,191 438,574 219,287 657,862 328,931 986,794 493,397 1,480,192 740,096 370,048 185,024 92,512 46,256 23,128 11,564 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49

More profiles

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