2,255,478

2 × 3 × 313 × 1201

Starting at 2,255,478, the Collatz iteration reaches 1 after 179 steps. The first transition is 1127739; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 313 × 1201

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,529,136

Proper Divisor Sum 2,273,658

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2255459 ← → #2255489

Radix Representation

Decimal	2255478
Binary	1000100110101001110110 (22 bits)
Octal	0o10465166
Hexadecimal	0x226A76

Divisor Catalog (16)

1 2 3 6 313 626 939 1,201 1,878 2,402 3,603 7,206 375,913 751,826 1,127,739 2,255,478

Collatz Trajectory (179 steps to reach 1)

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

2,255,478 1,127,739 3,383,218 1,691,609 5,074,828 2,537,414 1,268,707 3,806,122 1,903,061 5,709,184 2,854,592 1,427,296 713,648 356,824 178,412 89,206 44,603 133,810 66,905 200,716 100,358 50,179 150,538 75,269 225,808 112,904 56,452 28,226 14,113 42,340 21,170 10,585 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398

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