1,585,342

2 × 11² × 6551

Starting at 1,585,342, the Collatz iteration reaches 1 after 176 steps. The first transition is 792671; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 11^2 × 6551

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,614,248

Proper Divisor Sum 1,028,906

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1585319 ← → #1585373

Radix Representation

Decimal	1585342
Binary	110000011000010111110 (21 bits)
Octal	0o6030276
Hexadecimal	0x1830BE

Divisor Catalog (12)

1 2 11 22 121 242 6,551 13,102 72,061 144,122 792,671 1,585,342

Collatz Trajectory (176 steps to reach 1)

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

1,585,342 792,671 2,378,014 1,189,007 3,567,022 1,783,511 5,350,534 2,675,267 8,025,802 4,012,901 12,038,704 6,019,352 3,009,676 1,504,838 752,419 2,257,258 1,128,629 3,385,888 1,692,944 846,472 423,236 211,618 105,809 317,428 158,714 79,357 238,072 119,036 59,518 29,759 89,278 44,639 133,918 66,959 200,878 100,439 301,318 150,659 451,978 225,989 677,968 338,984 169,492 84,746 42,373 127,120 63,560 31,780 15,890 7,945 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057

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