8,952,993

3² × 7 × 142111

Starting at 8,952,993, the Collatz iteration reaches 1 after 287 steps. The first transition is 26858980; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 142111

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,779,648

Proper Divisor Sum 5,826,655

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8952973 ← → #8953013

Radix Representation

Decimal	8952993
Binary	100010001001110010100001 (24 bits)
Octal	0o42116241
Hexadecimal	0x889CA1

Divisor Catalog (12)

1 3 7 9 21 63 142,111 426,333 994,777 1,278,999 2,984,331 8,952,993

Collatz Trajectory (287 steps to reach 1)

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

8,952,993 26,858,980 13,429,490 6,714,745 20,144,236 10,072,118 5,036,059 15,108,178 7,554,089 22,662,268 11,331,134 5,665,567 16,996,702 8,498,351 25,495,054 12,747,527 38,242,582 19,121,291 57,363,874 28,681,937 86,045,812 43,022,906 21,511,453 64,534,360 32,267,180 16,133,590 8,066,795 24,200,386 12,100,193 36,300,580 18,150,290 9,075,145 27,225,436 13,612,718 6,806,359 20,419,078 10,209,539 30,628,618 15,314,309 45,942,928 22,971,464 11,485,732 5,742,866 2,871,433 8,614,300 4,307,150 2,153,575 6,460,726 3,230,363 9,691,090 4,845,545 14,536,636 7,268,318 3,634,159 10,902,478 5,451,239 16,353,718 8,176,859 24,530,578 12,265,289

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