8,390,324

2² × 19 × 53 × 2083

Starting at 8,390,324, the Collatz iteration reaches 1 after 106 steps. The first transition is 4195162; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 53 × 2083

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,755,040

Proper Divisor Sum 7,364,716

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8390323 ← → #8390329

Radix Representation

Decimal	8390324
Binary	100000000000011010110100 (24 bits)
Octal	0o40003264
Hexadecimal	0x8006B4

Divisor Catalog (24)

1 2 4 19 38 53 76 106 212 1,007 2,014 2,083 4,028 4,166 8,332 39,577 79,154 110,399 158,308 220,798 441,596 2,097,581 4,195,162 8,390,324

Collatz Trajectory (106 steps to reach 1)

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

8,390,324 4,195,162 2,097,581 6,292,744 3,146,372 1,573,186 786,593 2,359,780 1,179,890 589,945 1,769,836 884,918 442,459 1,327,378 663,689 1,991,068 995,534 497,767 1,493,302 746,651 2,239,954 1,119,977 3,359,932 1,679,966 839,983 2,519,950 1,259,975 3,779,926 1,889,963 5,669,890 2,834,945 8,504,836 4,252,418 2,126,209 6,378,628 3,189,314 1,594,657 4,783,972 2,391,986 1,195,993 3,587,980 1,793,990 896,995 2,690,986 1,345,493 4,036,480 2,018,240 1,009,120 504,560 252,280 126,140 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300

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