4,122,734

2 × 7 × 11 × 19 × 1409

Starting at 4,122,734, the Collatz iteration reaches 1 after 167 steps. The first transition is 2061367; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 19 × 1409

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,121,600

Proper Divisor Sum 3,998,866

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4122731 ← → #4122749

Radix Representation

Decimal	4122734
Binary	1111101110100001101110 (22 bits)
Octal	0o17564156
Hexadecimal	0x3EE86E

Divisor Catalog (32)

1 2 7 11 14 19 22 38 77 133 154 209 266 418 1,409 1,463 2,818 2,926 9,863 15,499 19,726 26,771 30,998 53,542 108,493 187,397 216,986 294,481 374,794 588,962 2,061,367 4,122,734

Collatz Trajectory (167 steps to reach 1)

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

4,122,734 2,061,367 6,184,102 3,092,051 9,276,154 4,638,077 13,914,232 6,957,116 3,478,558 1,739,279 5,217,838 2,608,919 7,826,758 3,913,379 11,740,138 5,870,069 17,610,208 8,805,104 4,402,552 2,201,276 1,100,638 550,319 1,650,958 825,479 2,476,438 1,238,219 3,714,658 1,857,329 5,571,988 2,785,994 1,392,997 4,178,992 2,089,496 1,044,748 522,374 261,187 783,562 391,781 1,175,344 587,672 293,836 146,918 73,459 220,378 110,189 330,568 165,284 82,642 41,321 123,964 61,982 30,991 92,974 46,487 139,462 69,731 209,194 104,597 313,792 156,896

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