292,152

2³ × 3 × 7 × 37 × 47

Starting at 292,152, the Collatz iteration reaches 1 after 70 steps. The first transition is 146076; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 37 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 875,520

Proper Divisor Sum 583,368

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #292147 ← → #292157

Radix Representation

Decimal	292152
Binary	1000111010100111000 (19 bits)
Octal	0o1072470
Hexadecimal	0x47538

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 37 42 47 56 74 84 94 111 141 148 168 188 222 259 282 296 329 376 444 518 564 658 777 888 987 1,036 1,128 1,316 1,554 1,739 1,974 2,072 2,632 3,108 3,478 3,948 5,217 6,216 6,956 7,896 10,434 12,173 13,912 20,868 24,346 36,519 41,736 48,692

Collatz Trajectory (70 steps to reach 1)

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

292,152 146,076 73,038 36,519 109,558 54,779 164,338 82,169 246,508 123,254 61,627 184,882 92,441 277,324 138,662 69,331 207,994 103,997 311,992 155,996 77,998 38,999 116,998 58,499 175,498 87,749 263,248 131,624 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53

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