4,967,164

2² × 277 × 4483

Starting at 4,967,164, the Collatz iteration reaches 1 after 144 steps. The first transition is 2483582; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 277 × 4483

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,725,864

Proper Divisor Sum 3,758,700

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4967153 ← → #4967167

Radix Representation

Decimal	4967164
Binary	10010111100101011111100 (23 bits)
Octal	0o22745374
Hexadecimal	0x4BCAFC

Divisor Catalog (12)

1 2 4 277 554 1,108 4,483 8,966 17,932 1,241,791 2,483,582 4,967,164

Collatz Trajectory (144 steps to reach 1)

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

4,967,164 2,483,582 1,241,791 3,725,374 1,862,687 5,588,062 2,794,031 8,382,094 4,191,047 12,573,142 6,286,571 18,859,714 9,429,857 28,289,572 14,144,786 7,072,393 21,217,180 10,608,590 5,304,295 15,912,886 7,956,443 23,869,330 11,934,665 35,803,996 17,901,998 8,950,999 26,852,998 13,426,499 40,279,498 20,139,749 60,419,248 30,209,624 15,104,812 7,552,406 3,776,203 11,328,610 5,664,305 16,992,916 8,496,458 4,248,229 12,744,688 6,372,344 3,186,172 1,593,086 796,543 2,389,630 1,194,815 3,584,446 1,792,223 5,376,670 2,688,335 8,065,006 4,032,503 12,097,510 6,048,755 18,146,266 9,073,133 27,219,400 13,609,700 6,804,850

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