5,256,302

2 × 1303 × 2017

Starting at 5,256,302, the Collatz iteration reaches 1 after 188 steps. The first transition is 2628151; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1303 × 2017

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,894,416

Proper Divisor Sum 2,638,114

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #5256299 ← → #5256311

Radix Representation

Decimal	5256302
Binary	10100000011010001101110 (23 bits)
Octal	0o24032156
Hexadecimal	0x50346E

Divisor Catalog (8)

1 2 1,303 2,017 2,606 4,034 2,628,151 5,256,302

Collatz Trajectory (188 steps to reach 1)

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

5,256,302 2,628,151 7,884,454 3,942,227 11,826,682 5,913,341 17,740,024 8,870,012 4,435,006 2,217,503 6,652,510 3,326,255 9,978,766 4,989,383 14,968,150 7,484,075 22,452,226 11,226,113 33,678,340 16,839,170 8,419,585 25,258,756 12,629,378 6,314,689 18,944,068 9,472,034 4,736,017 14,208,052 7,104,026 3,552,013 10,656,040 5,328,020 2,664,010 1,332,005 3,996,016 1,998,008 999,004 499,502 249,751 749,254 374,627 1,123,882 561,941 1,685,824 842,912 421,456 210,728 105,364 52,682 26,341 79,024 39,512 19,756 9,878 4,939 14,818 7,409 22,228 11,114 5,557

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