1,038,065

5 × 7² × 19 × 223

Starting at 1,038,065, the Collatz iteration reaches 1 after 196 steps. The first transition is 3114196; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 19 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,532,160

Proper Divisor Sum 494,095

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1038047 ← → #1038073

Radix Representation

Decimal	1038065
Binary	11111101011011110001 (20 bits)
Octal	0o3753361
Hexadecimal	0xFD6F1

Divisor Catalog (24)

1 5 7 19 35 49 95 133 223 245 665 931 1,115 1,561 4,237 4,655 7,805 10,927 21,185 29,659 54,635 148,295 207,613 1,038,065

Collatz Trajectory (196 steps to reach 1)

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

1,038,065 3,114,196 1,557,098 778,549 2,335,648 1,167,824 583,912 291,956 145,978 72,989 218,968 109,484 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243 249,730 124,865 374,596 187,298 93,649 280,948 140,474 70,237 210,712 105,356 52,678 26,339 79,018 39,509

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