1,561,846

2 × 11 × 13 × 43 × 127

Starting at 1,561,846, the Collatz iteration reaches 1 after 132 steps. The first transition is 780923; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 43 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,838,528

Proper Divisor Sum 1,276,682

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1561829 ← → #1561883

Radix Representation

Decimal	1561846
Binary	101111101010011110110 (21 bits)
Octal	0o5752366
Hexadecimal	0x17D4F6

Divisor Catalog (32)

Collatz Trajectory (132 steps to reach 1)

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

1,561,846 780,923 2,342,770 1,171,385 3,514,156 1,757,078 878,539 2,635,618 1,317,809 3,953,428 1,976,714 988,357 2,965,072 1,482,536 741,268 370,634 185,317 555,952 277,976 138,988 69,494 34,747 104,242 52,121 156,364 78,182 39,091 117,274 58,637 175,912 87,956 43,978 21,989 65,968 32,984 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910

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