2,953,629

3² × 7 × 173 × 271

Starting at 2,953,629, the Collatz iteration reaches 1 after 182 steps. The first transition is 8860888; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 173 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,922,112

Proper Divisor Sum 1,968,483

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2953619 ← → #2953661

Radix Representation

Decimal	2953629
Binary	1011010001000110011101 (22 bits)
Octal	0o13210635
Hexadecimal	0x2D119D

Divisor Catalog (24)

1 3 7 9 21 63 173 271 519 813 1,211 1,557 1,897 2,439 3,633 5,691 10,899 17,073 46,883 140,649 328,181 421,947 984,543 2,953,629

Collatz Trajectory (182 steps to reach 1)

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

2,953,629 8,860,888 4,430,444 2,215,222 1,107,611 3,322,834 1,661,417 4,984,252 2,492,126 1,246,063 3,738,190 1,869,095 5,607,286 2,803,643 8,410,930 4,205,465 12,616,396 6,308,198 3,154,099 9,462,298 4,731,149 14,193,448 7,096,724 3,548,362 1,774,181 5,322,544 2,661,272 1,330,636 665,318 332,659 997,978 498,989 1,496,968 748,484 374,242 187,121 561,364 280,682 140,341 421,024 210,512 105,256 52,628 26,314 13,157 39,472 19,736 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521

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