7,024,316

2² × 13² × 10391

Starting at 7,024,316, the Collatz iteration reaches 1 after 191 steps. The first transition is 3512158; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 10391

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 13,312,152

Proper Divisor Sum 6,287,836

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7024313 ← → #7024387

Radix Representation

Decimal	7024316
Binary	11010110010111010111100 (23 bits)
Octal	0o32627274
Hexadecimal	0x6B2EBC

Divisor Catalog (18)

1 2 4 13 26 52 169 338 676 10,391 20,782 41,564 135,083 270,166 540,332 1,756,079 3,512,158 7,024,316

Collatz Trajectory (191 steps to reach 1)

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

7,024,316 3,512,158 1,756,079 5,268,238 2,634,119 7,902,358 3,951,179 11,853,538 5,926,769 17,780,308 8,890,154 4,445,077 13,335,232 6,667,616 3,333,808 1,666,904 833,452 416,726 208,363 625,090 312,545 937,636 468,818 234,409 703,228 351,614 175,807 527,422 263,711 791,134 395,567 1,186,702 593,351 1,780,054 890,027 2,670,082 1,335,041 4,005,124 2,002,562 1,001,281 3,003,844 1,501,922 750,961 2,252,884 1,126,442 563,221 1,689,664 844,832 422,416 211,208 105,604 52,802 26,401 79,204 39,602 19,801 59,404 29,702 14,851 44,554

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