4,643,176

2³ × 17 × 34141

4,643,176 factors as 2^3 × 17 × 34141. Its 16 positive divisors give a proper-divisor sum of 4,575,164, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 34141

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,218,340

Proper Divisor Sum 4,575,164

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4643153 ← → #4643189

Radix Representation

Decimal	4643176
Binary	10001101101100101101000 (23 bits)
Octal	0o21554550
Hexadecimal	0x46D968

Divisor Catalog (16)

1 2 4 8 17 34 68 136 34,141 68,282 136,564 273,128 580,397 1,160,794 2,321,588 4,643,176

Collatz Trajectory (100 steps to reach 1)

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

4,643,176 2,321,588 1,160,794 580,397 1,741,192 870,596 435,298 217,649 652,948 326,474 163,237 489,712 244,856 122,428 61,214 30,607 91,822 45,911 137,734 68,867 206,602 103,301 309,904 154,952 77,476 38,738 19,369 58,108 29,054 14,527 43,582 21,791 65,374 32,687 98,062 49,031 147,094 73,547 220,642 110,321 330,964 165,482 82,741 248,224 124,112 62,056 31,028 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912

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