3,747,969

3² × 416441

Starting at 3,747,969, the Collatz iteration reaches 1 after 159 steps. The first transition is 11243908; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 416441

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,413,746

Proper Divisor Sum 1,665,777

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3747949 ← → #3747979

Radix Representation

Decimal	3747969
Binary	1110010011000010000001 (22 bits)
Octal	0o16230201
Hexadecimal	0x393081

Divisor Catalog (6)

1 3 9 416,441 1,249,323 3,747,969

Collatz Trajectory (159 steps to reach 1)

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

3,747,969 11,243,908 5,621,954 2,810,977 8,432,932 4,216,466 2,108,233 6,324,700 3,162,350 1,581,175 4,743,526 2,371,763 7,115,290 3,557,645 10,672,936 5,336,468 2,668,234 1,334,117 4,002,352 2,001,176 1,000,588 500,294 250,147 750,442 375,221 1,125,664 562,832 281,416 140,708 70,354 35,177 105,532 52,766 26,383 79,150 39,575 118,726 59,363 178,090 89,045 267,136 133,568 66,784 33,392 16,696 8,348 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964

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