8,656,823

7 × 157 × 7877

Starting at 8,656,823, the Collatz iteration reaches 1 after 150 steps. The first transition is 25970470; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 157 × 7877

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,957,792

Proper Divisor Sum 1,300,969

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8656807 ← → #8656829

Radix Representation

Decimal	8656823
Binary	100001000001011110110111 (24 bits)
Octal	0o41013667
Hexadecimal	0x8417B7

Divisor Catalog (8)

1 7 157 1,099 7,877 55,139 1,236,689 8,656,823

Collatz Trajectory (150 steps to reach 1)

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

8,656,823 25,970,470 12,985,235 38,955,706 19,477,853 58,433,560 29,216,780 14,608,390 7,304,195 21,912,586 10,956,293 32,868,880 16,434,440 8,217,220 4,108,610 2,054,305 6,162,916 3,081,458 1,540,729 4,622,188 2,311,094 1,155,547 3,466,642 1,733,321 5,199,964 2,599,982 1,299,991 3,899,974 1,949,987 5,849,962 2,924,981 8,774,944 4,387,472 2,193,736 1,096,868 548,434 274,217 822,652 411,326 205,663 616,990 308,495 925,486 462,743 1,388,230 694,115 2,082,346 1,041,173 3,123,520 1,561,760 780,880 390,440 195,220 97,610 48,805 146,416 73,208 36,604 18,302 9,151

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