87,409

7 × 12487

Starting at 87,409, the Collatz iteration reaches 1 after 120 steps. The first transition is 262228; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 12487

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 99,904

Proper Divisor Sum 12,495

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #87407 ← → #87421

Radix Representation

Decimal	87409
Binary	10101010101110001 (17 bits)
Octal	0o252561
Hexadecimal	0x15571

Divisor Catalog (4)

1 7 12,487 87,409

Collatz Trajectory (120 steps to reach 1)

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

87,409 262,228 131,114 65,557 196,672 98,336 49,168 24,584 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

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