6,971,232

2⁵ × 3 × 72617

Starting at 6,971,232, the Collatz iteration reaches 1 after 160 steps. The first transition is 3485616; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 72617

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,299,736

Proper Divisor Sum 11,328,504

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6971227 ← → #6971243

Radix Representation

Decimal	6971232
Binary	11010100101111101100000 (23 bits)
Octal	0o32457540
Hexadecimal	0x6A5F60

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 72,617 145,234 217,851 290,468 435,702 580,936 871,404 1,161,872 1,742,808 2,323,744 3,485,616 6,971,232

Collatz Trajectory (160 steps to reach 1)

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

6,971,232 3,485,616 1,742,808 871,404 435,702 217,851 653,554 326,777 980,332 490,166 245,083 735,250 367,625 1,102,876 551,438 275,719 827,158 413,579 1,240,738 620,369 1,861,108 930,554 465,277 1,395,832 697,916 348,958 174,479 523,438 261,719 785,158 392,579 1,177,738 588,869 1,766,608 883,304 441,652 220,826 110,413 331,240 165,620 82,810 41,405 124,216 62,108 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219

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