331,274

2 × 73 × 2269

Starting at 331,274, the Collatz iteration reaches 1 after 153 steps. The first transition is 165637; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 73 × 2269

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 503,940

Proper Divisor Sum 172,666

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #331259 ← → #331277

Radix Representation

Decimal	331274
Binary	1010000111000001010 (19 bits)
Octal	0o1207012
Hexadecimal	0x50E0A

Divisor Catalog (8)

1 2 73 146 2,269 4,538 165,637 331,274

Collatz Trajectory (153 steps to reach 1)

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

331,274 165,637 496,912 248,456 124,228 62,114 31,057 93,172 46,586 23,293 69,880 34,940 17,470 8,735 26,206 13,103 39,310 19,655 58,966 29,483 88,450 44,225 132,676 66,338 33,169 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364

← Previous Integer #331,273 Browse Full Index Next Integer #331,275 →