4,773,148

2² × 37 × 32251

Starting at 4,773,148, the Collatz iteration reaches 1 after 206 steps. The first transition is 2386574; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 32251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,579,032

Proper Divisor Sum 3,805,884

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4773143 ← → #4773157

Radix Representation

Decimal	4773148
Binary	10010001101010100011100 (23 bits)
Octal	0o22152434
Hexadecimal	0x48D51C

Divisor Catalog (12)

1 2 4 37 74 148 32,251 64,502 129,004 1,193,287 2,386,574 4,773,148

Collatz Trajectory (206 steps to reach 1)

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

4,773,148 2,386,574 1,193,287 3,579,862 1,789,931 5,369,794 2,684,897 8,054,692 4,027,346 2,013,673 6,041,020 3,020,510 1,510,255 4,530,766 2,265,383 6,796,150 3,398,075 10,194,226 5,097,113 15,291,340 7,645,670 3,822,835 11,468,506 5,734,253 17,202,760 8,601,380 4,300,690 2,150,345 6,451,036 3,225,518 1,612,759 4,838,278 2,419,139 7,257,418 3,628,709 10,886,128 5,443,064 2,721,532 1,360,766 680,383 2,041,150 1,020,575 3,061,726 1,530,863 4,592,590 2,296,295 6,888,886 3,444,443 10,333,330 5,166,665 15,499,996 7,749,998 3,874,999 11,624,998 5,812,499 17,437,498 8,718,749 26,156,248 13,078,124 6,539,062

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