8,168,461

7 × 19 × 61417

Starting at 8,168,461, the Collatz iteration reaches 1 after 186 steps. The first transition is 24505384; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 19 × 61417

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,826,880

Proper Divisor Sum 1,658,419

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8168441 ← → #8168533

Radix Representation

Decimal	8168461
Binary	11111001010010000001101 (23 bits)
Octal	0o37122015
Hexadecimal	0x7CA40D

Divisor Catalog (8)

1 7 19 133 61,417 429,919 1,166,923 8,168,461

Collatz Trajectory (186 steps to reach 1)

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

8,168,461 24,505,384 12,252,692 6,126,346 3,063,173 9,189,520 4,594,760 2,297,380 1,148,690 574,345 1,723,036 861,518 430,759 1,292,278 646,139 1,938,418 969,209 2,907,628 1,453,814 726,907 2,180,722 1,090,361 3,271,084 1,635,542 817,771 2,453,314 1,226,657 3,679,972 1,839,986 919,993 2,759,980 1,379,990 689,995 2,069,986 1,034,993 3,104,980 1,552,490 776,245 2,328,736 1,164,368 582,184 291,092 145,546 72,773 218,320 109,160 54,580 27,290 13,645 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638

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