1,576,538

2 × 53 × 107 × 139

Starting at 1,576,538, the Collatz iteration reaches 1 after 124 steps. The first transition is 788269; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 53 × 107 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,449,440

Proper Divisor Sum 872,902

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1576537 ← → #1576543

Radix Representation

Decimal	1576538
Binary	110000000111001011010 (21 bits)
Octal	0o6007132
Hexadecimal	0x180E5A

Divisor Catalog (16)

1 2 53 106 107 139 214 278 5,671 7,367 11,342 14,734 14,873 29,746 788,269 1,576,538

Collatz Trajectory (124 steps to reach 1)

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

1,576,538 788,269 2,364,808 1,182,404 591,202 295,601 886,804 443,402 221,701 665,104 332,552 166,276 83,138 41,569 124,708 62,354 31,177 93,532 46,766 23,383 70,150 35,075 105,226 52,613 157,840 78,920 39,460 19,730 9,865 29,596 14,798 7,399 22,198 11,099 33,298 16,649 49,948 24,974 12,487 37,462 18,731 56,194 28,097 84,292 42,146 21,073 63,220 31,610 15,805 47,416 23,708 11,854 5,927 17,782 8,891 26,674 13,337 40,012 20,006 10,003

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