5,416,338

2 × 3 × 902723

Starting at 5,416,338, the Collatz iteration reaches 1 after 87 steps. The first transition is 2708169; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 902723

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,832,688

Proper Divisor Sum 5,416,350

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5416309 ← → #5416357

Radix Representation

Decimal	5416338
Binary	10100101010010110010010 (23 bits)
Octal	0o24522622
Hexadecimal	0x52A592

Divisor Catalog (8)

1 2 3 6 902,723 1,805,446 2,708,169 5,416,338

Collatz Trajectory (87 steps to reach 1)

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

5,416,338 2,708,169 8,124,508 4,062,254 2,031,127 6,093,382 3,046,691 9,140,074 4,570,037 13,710,112 6,855,056 3,427,528 1,713,764 856,882 428,441 1,285,324 642,662 321,331 963,994 481,997 1,445,992 722,996 361,498 180,749 542,248 271,124 135,562 67,781 203,344 101,672 50,836 25,418 12,709 38,128 19,064 9,532 4,766 2,383 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955

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