8,456,773

13 × 593 × 1097

Starting at 8,456,773, the Collatz iteration reaches 1 after 168 steps. The first transition is 25370320; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 593 × 1097

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,130,968

Proper Divisor Sum 674,195

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8456771 ← → #8456797

Radix Representation

Decimal	8456773
Binary	100000010000101001000101 (24 bits)
Octal	0o40205105
Hexadecimal	0x810A45

Divisor Catalog (8)

1 13 593 1,097 7,709 14,261 650,521 8,456,773

Collatz Trajectory (168 steps to reach 1)

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

8,456,773 25,370,320 12,685,160 6,342,580 3,171,290 1,585,645 4,756,936 2,378,468 1,189,234 594,617 1,783,852 891,926 445,963 1,337,890 668,945 2,006,836 1,003,418 501,709 1,505,128 752,564 376,282 188,141 564,424 282,212 141,106 70,553 211,660 105,830 52,915 158,746 79,373 238,120 119,060 59,530 29,765 89,296 44,648 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250

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