4,147,155

3² × 5 × 157 × 587

4,147,155 factors as 3^2 × 5 × 157 × 587. Its 24 positive divisors give a proper-divisor sum of 3,099,357, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 157 × 587

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,246,512

Proper Divisor Sum 3,099,357

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4147151 ← → #4147159

Radix Representation

Decimal	4147155
Binary	1111110100011111010011 (22 bits)
Octal	0o17643723
Hexadecimal	0x3F47D3

Divisor Catalog (24)

Collatz Trajectory (159 steps to reach 1)

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

4,147,155 12,441,466 6,220,733 18,662,200 9,331,100 4,665,550 2,332,775 6,998,326 3,499,163 10,497,490 5,248,745 15,746,236 7,873,118 3,936,559 11,809,678 5,904,839 17,714,518 8,857,259 26,571,778 13,285,889 39,857,668 19,928,834 9,964,417 29,893,252 14,946,626 7,473,313 22,419,940 11,209,970 5,604,985 16,814,956 8,407,478 4,203,739 12,611,218 6,305,609 18,916,828 9,458,414 4,729,207 14,187,622 7,093,811 21,281,434 10,640,717 31,922,152 15,961,076 7,980,538 3,990,269 11,970,808 5,985,404 2,992,702 1,496,351 4,489,054 2,244,527 6,733,582 3,366,791 10,100,374 5,050,187 15,150,562 7,575,281 22,725,844 11,362,922 5,681,461

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