4,189,070

2 × 5 × 509 × 823

Starting at 4,189,070, the Collatz iteration reaches 1 after 167 steps. The first transition is 2094535; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 509 × 823

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,564,320

Proper Divisor Sum 3,375,250

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4189069 ← → #4189091

Radix Representation

Decimal	4189070
Binary	1111111110101110001110 (22 bits)
Octal	0o17765616
Hexadecimal	0x3FEB8E

Divisor Catalog (16)

1 2 5 10 509 823 1,018 1,646 2,545 4,115 5,090 8,230 418,907 837,814 2,094,535 4,189,070

Collatz Trajectory (167 steps to reach 1)

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

4,189,070 2,094,535 6,283,606 3,141,803 9,425,410 4,712,705 14,138,116 7,069,058 3,534,529 10,603,588 5,301,794 2,650,897 7,952,692 3,976,346 1,988,173 5,964,520 2,982,260 1,491,130 745,565 2,236,696 1,118,348 559,174 279,587 838,762 419,381 1,258,144 629,072 314,536 157,268 78,634 39,317 117,952 58,976 29,488 14,744 7,372 3,686 1,843 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125

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