1,087,488

2¹¹ × 3² × 59

Starting at 1,087,488, the Collatz iteration reaches 1 after 134 steps. The first transition is 543744; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^11 × 3^2 × 59

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,194,100

Proper Divisor Sum 2,106,612

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1087487 ← → #1087517

Radix Representation

Decimal	1087488
Binary	100001001100000000000 (21 bits)
Octal	0o4114000
Hexadecimal	0x109800

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 768 944 1,024 1,062 1,152 1,416 1,536 1,888 2,048 2,124 2,304 2,832 3,072 3,776 4,248 4,608 5,664 6,144 7,552 8,496 9,216 11,328 15,104 16,992 18,432 22,656 30,208

Collatz Trajectory (134 steps to reach 1)

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

1,087,488 543,744 271,872 135,936 67,968 33,984 16,992 8,496 4,248 2,124 1,062 531 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

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