λ
Sequence Observatory

3,077,232

24 × 3 × 64109
Abundant Even Composite

Starting at 3,077,232, the Collatz iteration reaches 1 after 76 steps. The first transition is 1538616; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 64109
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,949,640
Proper Divisor Sum 4,872,408
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3077203 ← → #3077251

Radix Representation

Decimal 3077232
Binary 1011101111010001110000 (22 bits)
Octal 0o13572160
Hexadecimal 0x2EF470

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 64,109 128,218 192,327 256,436 384,654 512,872 769,308 1,025,744 1,538,616 3,077,232

Collatz Trajectory (76 steps to reach 1)

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

3,077,232 1,538,616 769,308 384,654 192,327 576,982 288,491 865,474 432,737 1,298,212 649,106 324,553 973,660 486,830 243,415 730,246 365,123 1,095,370 547,685 1,643,056 821,528 410,764 205,382 102,691 308,074 154,037 462,112 231,056 115,528 57,764 28,882 14,441 43,324 21,662 10,831 32,494 16,247 48,742 24,371 73,114 36,557 109,672 54,836 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544

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