5,417,591

31 × 174761

Starting at 5,417,591, the Collatz iteration reaches 1 after 232 steps. The first transition is 16252774; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 31 × 174761

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 5,592,384

Proper Divisor Sum 174,793

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5417579 ← → #5417597

Radix Representation

Decimal	5417591
Binary	10100101010101001110111 (23 bits)
Octal	0o24525167
Hexadecimal	0x52AA77

Divisor Catalog (4)

1 31 174,761 5,417,591

Collatz Trajectory (232 steps to reach 1)

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

5,417,591 16,252,774 8,126,387 24,379,162 12,189,581 36,568,744 18,284,372 9,142,186 4,571,093 13,713,280 6,856,640 3,428,320 1,714,160 857,080 428,540 214,270 107,135 321,406 160,703 482,110 241,055 723,166 361,583 1,084,750 542,375 1,627,126 813,563 2,440,690 1,220,345 3,661,036 1,830,518 915,259 2,745,778 1,372,889 4,118,668 2,059,334 1,029,667 3,089,002 1,544,501 4,633,504 2,316,752 1,158,376 579,188 289,594 144,797 434,392 217,196 108,598 54,299 162,898 81,449 244,348 122,174 61,087 183,262 91,631 274,894 137,447 412,342 206,171

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