1,653,789

3 × 37 × 47 × 317

Starting at 1,653,789, the Collatz iteration reaches 1 after 176 steps. The first transition is 4961368; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 47 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,320,128

Proper Divisor Sum 666,339

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #1653767 ← → #1653791

Radix Representation

Decimal	1653789
Binary	110010011110000011101 (21 bits)
Octal	0o6236035
Hexadecimal	0x193C1D

Divisor Catalog (16)

1 3 37 47 111 141 317 951 1,739 5,217 11,729 14,899 35,187 44,697 551,263 1,653,789

Collatz Trajectory (176 steps to reach 1)

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

1,653,789 4,961,368 2,480,684 1,240,342 620,171 1,860,514 930,257 2,790,772 1,395,386 697,693 2,093,080 1,046,540 523,270 261,635 784,906 392,453 1,177,360 588,680 294,340 147,170 73,585 220,756 110,378 55,189 165,568 82,784 41,392 20,696 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292

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