2,737,808

2⁴ × 137 × 1249

Starting at 2,737,808, the Collatz iteration reaches 1 after 169 steps. The first transition is 1368904; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 137 × 1249

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 5,347,500

Proper Divisor Sum 2,609,692

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2737793 ← → #2737817

Radix Representation

Decimal	2737808
Binary	1010011100011010010000 (22 bits)
Octal	0o12343220
Hexadecimal	0x29C690

Divisor Catalog (20)

1 2 4 8 16 137 274 548 1,096 1,249 2,192 2,498 4,996 9,992 19,984 171,113 342,226 684,452 1,368,904 2,737,808

Collatz Trajectory (169 steps to reach 1)

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

2,737,808 1,368,904 684,452 342,226 171,113 513,340 256,670 128,335 385,006 192,503 577,510 288,755 866,266 433,133 1,299,400 649,700 324,850 162,425 487,276 243,638 121,819 365,458 182,729 548,188 274,094 137,047 411,142 205,571 616,714 308,357 925,072 462,536 231,268 115,634 57,817 173,452 86,726 43,363 130,090 65,045 195,136 97,568 48,784 24,392 12,196 6,098 3,049 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374

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