4,476,431

31 × 197 × 733

Starting at 4,476,431, the Collatz iteration reaches 1 after 162 steps. The first transition is 13429294; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 197 × 733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,650,624

Proper Divisor Sum 174,193

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4476427 ← → #4476463

Radix Representation

Decimal	4476431
Binary	10001000100111000001111 (23 bits)
Octal	0o21047017
Hexadecimal	0x444E0F

Divisor Catalog (8)

1 31 197 733 6,107 22,723 144,401 4,476,431

Collatz Trajectory (162 steps to reach 1)

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

4,476,431 13,429,294 6,714,647 20,143,942 10,071,971 30,215,914 15,107,957 45,323,872 22,661,936 11,330,968 5,665,484 2,832,742 1,416,371 4,249,114 2,124,557 6,373,672 3,186,836 1,593,418 796,709 2,390,128 1,195,064 597,532 298,766 149,383 448,150 224,075 672,226 336,113 1,008,340 504,170 252,085 756,256 378,128 189,064 94,532 47,266 23,633 70,900 35,450 17,725 53,176 26,588 13,294 6,647 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402

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