3,149,136

2⁴ × 3² × 19 × 1151

Starting at 3,149,136, the Collatz iteration reaches 1 after 164 steps. The first transition is 1574568; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 19 × 1151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 9,285,120

Proper Divisor Sum 6,135,984

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3149129 ← → #3149143

Radix Representation

Decimal	3149136
Binary	1100000000110101010000 (22 bits)
Octal	0o14006520
Hexadecimal	0x300D50

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1,151 1,368 2,302 2,736 3,453 4,604 6,906 9,208 10,359 13,812 18,416 20,718 21,869 27,624 41,436 43,738 55,248 65,607 82,872 87,476 131,214 165,744 174,952 196,821 262,428 349,904 393,642 524,856 787,284 1,049,712 1,574,568 3,149,136

Collatz Trajectory (164 steps to reach 1)

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

3,149,136 1,574,568 787,284 393,642 196,821 590,464 295,232 147,616 73,808 36,904 18,452 9,226 4,613 13,840 6,920 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94

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