4,090,247

7 × 29 × 20149

Starting at 4,090,247, the Collatz iteration reaches 1 after 198 steps. The first transition is 12270742; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 29 × 20149

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,836,000

Proper Divisor Sum 745,753

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4090243 ← → #4090253

Radix Representation

Decimal	4090247
Binary	1111100110100110000111 (22 bits)
Octal	0o17464607
Hexadecimal	0x3E6987

Divisor Catalog (8)

1 7 29 203 20,149 141,043 584,321 4,090,247

Collatz Trajectory (198 steps to reach 1)

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

4,090,247 12,270,742 6,135,371 18,406,114 9,203,057 27,609,172 13,804,586 6,902,293 20,706,880 10,353,440 5,176,720 2,588,360 1,294,180 647,090 323,545 970,636 485,318 242,659 727,978 363,989 1,091,968 545,984 272,992 136,496 68,248 34,124 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325

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