908,258

2 × 13 × 181 × 193

Starting at 908,258, the Collatz iteration reaches 1 after 108 steps. The first transition is 454129; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 181 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,482,936

Proper Divisor Sum 574,678

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #908249 ← → #908287

Radix Representation

Decimal	908258
Binary	11011101101111100010 (20 bits)
Octal	0o3355742
Hexadecimal	0xDDBE2

Divisor Catalog (16)

1 2 13 26 181 193 362 386 2,353 2,509 4,706 5,018 34,933 69,866 454,129 908,258

Collatz Trajectory (108 steps to reach 1)

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

908,258 454,129 1,362,388 681,194 340,597 1,021,792 510,896 255,448 127,724 63,862 31,931 95,794 47,897 143,692 71,846 35,923 107,770 53,885 161,656 80,828 40,414 20,207 60,622 30,311 90,934 45,467 136,402 68,201 204,604 102,302 51,151 153,454 76,727 230,182 115,091 345,274 172,637 517,912 258,956 129,478 64,739 194,218 97,109 291,328 145,664 72,832 36,416 18,208 9,104 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962

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