8,621,893

7² × 179 × 983

Starting at 8,621,893, the Collatz iteration reaches 1 after 168 steps. The first transition is 25865680; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 179 × 983

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,095,840

Proper Divisor Sum 1,473,947

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8621869 ← → #8621897

Radix Representation

Decimal	8621893
Binary	100000111000111101000101 (24 bits)
Octal	0o40707505
Hexadecimal	0x838F45

Divisor Catalog (12)

1 7 49 179 983 1,253 6,881 8,771 48,167 175,957 1,231,699 8,621,893

Collatz Trajectory (168 steps to reach 1)

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

8,621,893 25,865,680 12,932,840 6,466,420 3,233,210 1,616,605 4,849,816 2,424,908 1,212,454 606,227 1,818,682 909,341 2,728,024 1,364,012 682,006 341,003 1,023,010 511,505 1,534,516 767,258 383,629 1,150,888 575,444 287,722 143,861 431,584 215,792 107,896 53,948 26,974 13,487 40,462 20,231 60,694 30,347 91,042 45,521 136,564 68,282 34,141 102,424 51,212 25,606 12,803 38,410 19,205 57,616 28,808 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520

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