5,786,425

5² × 59 × 3923

Starting at 5,786,425, the Collatz iteration reaches 1 after 214 steps. The first transition is 17359276; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 59 × 3923

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,298,640

Proper Divisor Sum 1,512,215

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #5786419 ← → #5786441

Radix Representation

Decimal	5786425
Binary	10110000100101100111001 (23 bits)
Octal	0o26045471
Hexadecimal	0x584B39

Divisor Catalog (12)

1 5 25 59 295 1,475 3,923 19,615 98,075 231,457 1,157,285 5,786,425

Collatz Trajectory (214 steps to reach 1)

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

5,786,425 17,359,276 8,679,638 4,339,819 13,019,458 6,509,729 19,529,188 9,764,594 4,882,297 14,646,892 7,323,446 3,661,723 10,985,170 5,492,585 16,477,756 8,238,878 4,119,439 12,358,318 6,179,159 18,537,478 9,268,739 27,806,218 13,903,109 41,709,328 20,854,664 10,427,332 5,213,666 2,606,833 7,820,500 3,910,250 1,955,125 5,865,376 2,932,688 1,466,344 733,172 366,586 183,293 549,880 274,940 137,470 68,735 206,206 103,103 309,310 154,655 463,966 231,983 695,950 347,975 1,043,926 521,963 1,565,890 782,945 2,348,836 1,174,418 587,209 1,761,628 880,814 440,407 1,321,222

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