1,517,566

2 × 758783

Starting at 1,517,566, the Collatz iteration reaches 1 after 225 steps. The first transition is 758783; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 758783

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,276,352

Proper Divisor Sum 758,786

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1517561 ← → #1517567

Radix Representation

Decimal	1517566
Binary	101110010011111111110 (21 bits)
Octal	0o5623776
Hexadecimal	0x1727FE

Divisor Catalog (4)

1 2 758,783 1,517,566

Collatz Trajectory (225 steps to reach 1)

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

1,517,566 758,783 2,276,350 1,138,175 3,414,526 1,707,263 5,121,790 2,560,895 7,682,686 3,841,343 11,524,030 5,762,015 17,286,046 8,643,023 25,929,070 12,964,535 38,893,606 19,446,803 58,340,410 29,170,205 87,510,616 43,755,308 21,877,654 10,938,827 32,816,482 16,408,241 49,224,724 24,612,362 12,306,181 36,918,544 18,459,272 9,229,636 4,614,818 2,307,409 6,922,228 3,461,114 1,730,557 5,191,672 2,595,836 1,297,918 648,959 1,946,878 973,439 2,920,318 1,460,159 4,380,478 2,190,239 6,570,718 3,285,359 9,856,078 4,928,039 14,784,118 7,392,059 22,176,178 11,088,089 33,264,268 16,632,134 8,316,067 24,948,202 12,474,101

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