8,194,391

17 × 509 × 947

Starting at 8,194,391, the Collatz iteration reaches 1 after 106 steps. The first transition is 24583174; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 509 × 947

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,702,640

Proper Divisor Sum 508,249

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8194387 ← → #8194393

Radix Representation

Decimal	8194391
Binary	11111010000100101010111 (23 bits)
Octal	0o37204527
Hexadecimal	0x7D0957

Divisor Catalog (8)

1 17 509 947 8,653 16,099 482,023 8,194,391

Collatz Trajectory (106 steps to reach 1)

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

8,194,391 24,583,174 12,291,587 36,874,762 18,437,381 55,312,144 27,656,072 13,828,036 6,914,018 3,457,009 10,371,028 5,185,514 2,592,757 7,778,272 3,889,136 1,944,568 972,284 486,142 243,071 729,214 364,607 1,093,822 546,911 1,640,734 820,367 2,461,102 1,230,551 3,691,654 1,845,827 5,537,482 2,768,741 8,306,224 4,153,112 2,076,556 1,038,278 519,139 1,557,418 778,709 2,336,128 1,168,064 584,032 292,016 146,008 73,004 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444

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