8,206,357

311 × 26387

Starting at 8,206,357, the Collatz iteration reaches 1 after 106 steps. The first transition is 24619072; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 311 × 26387

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,233,056

Proper Divisor Sum 26,699

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8206343 ← → #8206403

Radix Representation

Decimal	8206357
Binary	11111010011100000010101 (23 bits)
Octal	0o37234025
Hexadecimal	0x7D3815

Divisor Catalog (4)

1 311 26,387 8,206,357

Collatz Trajectory (106 steps to reach 1)

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

8,206,357 24,619,072 12,309,536 6,154,768 3,077,384 1,538,692 769,346 384,673 1,154,020 577,010 288,505 865,516 432,758 216,379 649,138 324,569 973,708 486,854 243,427 730,282 365,141 1,095,424 547,712 273,856 136,928 68,464 34,232 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680

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