8,378,135

5 × 1675627

Starting at 8,378,135, the Collatz iteration reaches 1 after 168 steps. The first transition is 25134406; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1675627

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,053,768

Proper Divisor Sum 1,675,633

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8378131 ← → #8378147

Radix Representation

Decimal	8378135
Binary	11111111101011100010111 (23 bits)
Octal	0o37753427
Hexadecimal	0x7FD717

Divisor Catalog (4)

1 5 1,675,627 8,378,135

Collatz Trajectory (168 steps to reach 1)

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

8,378,135 25,134,406 12,567,203 37,701,610 18,850,805 56,552,416 28,276,208 14,138,104 7,069,052 3,534,526 1,767,263 5,301,790 2,650,895 7,952,686 3,976,343 11,929,030 5,964,515 17,893,546 8,946,773 26,840,320 13,420,160 6,710,080 3,355,040 1,677,520 838,760 419,380 209,690 104,845 314,536 157,268 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

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