λ
Sequence Observatory

4,763,232

25 × 33 × 37 × 149
Abundant Even Composite

Starting at 4,763,232, the Collatz iteration reaches 1 after 144 steps. The first transition is 2381616; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 37 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 14,364,000
Proper Divisor Sum 9,600,768
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4763207 ← → #4763233

Radix Representation

Decimal 4763232
Binary 10010001010111001100000 (23 bits)
Octal 0o22127140
Hexadecimal 0x48AE60

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 149 216 222 288 296 298 333 432 444 447 592 596 666 864 888 894 999 1,184 1,192 1,332 1,341 1,776 1,788 1,998 2,384 2,664 2,682 3,552 3,576 3,996 4,023 4,768 5,328 5,364 5,513 7,152

Collatz Trajectory (144 steps to reach 1)

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

4,763,232 2,381,616 1,190,808 595,404 297,702 148,851 446,554 223,277 669,832 334,916 167,458 83,729 251,188 125,594 62,797 188,392 94,196 47,098 23,549 70,648 35,324 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036

More profiles

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