3,115,826

2 × 7 × 457 × 487

Starting at 3,115,826, the Collatz iteration reaches 1 after 151 steps. The first transition is 1557913; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 457 × 487

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,364,096

Proper Divisor Sum 2,248,270

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3115813 ← → #3115831

Radix Representation

Decimal	3115826
Binary	1011111000101100110010 (22 bits)
Octal	0o13705462
Hexadecimal	0x2F8B32

Divisor Catalog (16)

1 2 7 14 457 487 914 974 3,199 3,409 6,398 6,818 222,559 445,118 1,557,913 3,115,826

Collatz Trajectory (151 steps to reach 1)

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

3,115,826 1,557,913 4,673,740 2,336,870 1,168,435 3,505,306 1,752,653 5,257,960 2,628,980 1,314,490 657,245 1,971,736 985,868 492,934 246,467 739,402 369,701 1,109,104 554,552 277,276 138,638 69,319 207,958 103,979 311,938 155,969 467,908 233,954 116,977 350,932 175,466 87,733 263,200 131,600 65,800 32,900 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296

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