1,004,958

2 × 3² × 31 × 1801

Starting at 1,004,958, the Collatz iteration reaches 1 after 139 steps. The first transition is 502479; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 1801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,248,896

Proper Divisor Sum 1,243,938

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1004917 ← → #1004963

Radix Representation

Decimal	1004958
Binary	11110101010110011110 (20 bits)
Octal	0o3652636
Hexadecimal	0xF559E

Divisor Catalog (24)

Collatz Trajectory (139 steps to reach 1)

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

1,004,958 502,479 1,507,438 753,719 2,261,158 1,130,579 3,391,738 1,695,869 5,087,608 2,543,804 1,271,902 635,951 1,907,854 953,927 2,861,782 1,430,891 4,292,674 2,146,337 6,439,012 3,219,506 1,609,753 4,829,260 2,414,630 1,207,315 3,621,946 1,810,973 5,432,920 2,716,460 1,358,230 679,115 2,037,346 1,018,673 3,056,020 1,528,010 764,005 2,292,016 1,146,008 573,004 286,502 143,251 429,754 214,877 644,632 322,316 161,158 80,579 241,738 120,869 362,608 181,304 90,652 45,326 22,663 67,990 33,995 101,986 50,993 152,980 76,490 38,245

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