5,579,172

2² × 3³ × 51659

Starting at 5,579,172, the Collatz iteration reaches 1 after 139 steps. The first transition is 2789586; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 51659

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,464,800

Proper Divisor Sum 8,885,628

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5579153 ← → #5579173

Radix Representation

Decimal	5579172
Binary	10101010010000110100100 (23 bits)
Octal	0o25220644
Hexadecimal	0x5521A4

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 51,659 103,318 154,977 206,636 309,954 464,931 619,908 929,862 1,394,793 1,859,724 2,789,586 5,579,172

Collatz Trajectory (139 steps to reach 1)

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

5,579,172 2,789,586 1,394,793 4,184,380 2,092,190 1,046,095 3,138,286 1,569,143 4,707,430 2,353,715 7,061,146 3,530,573 10,591,720 5,295,860 2,647,930 1,323,965 3,971,896 1,985,948 992,974 496,487 1,489,462 744,731 2,234,194 1,117,097 3,351,292 1,675,646 837,823 2,513,470 1,256,735 3,770,206 1,885,103 5,655,310 2,827,655 8,482,966 4,241,483 12,724,450 6,362,225 19,086,676 9,543,338 4,771,669 14,315,008 7,157,504 3,578,752 1,789,376 894,688 447,344 223,672 111,836 55,918 27,959 83,878 41,939 125,818 62,909 188,728 94,364 47,182 23,591 70,774 35,387

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