4,767,160

2³ × 5 × 119179

4,767,160 factors as 2^3 × 5 × 119179. Its 16 positive divisors give a proper-divisor sum of 5,959,040, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 119179

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,726,200

Proper Divisor Sum 5,959,040

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4767151 ← → #4767167

Radix Representation

Decimal	4767160
Binary	10010001011110110111000 (23 bits)
Octal	0o22136670
Hexadecimal	0x48BDB8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 119,179 238,358 476,716 595,895 953,432 1,191,790 2,383,580 4,767,160

Collatz Trajectory (100 steps to reach 1)

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

4,767,160 2,383,580 1,191,790 595,895 1,787,686 893,843 2,681,530 1,340,765 4,022,296 2,011,148 1,005,574 502,787 1,508,362 754,181 2,262,544 1,131,272 565,636 282,818 141,409 424,228 212,114 106,057 318,172 159,086 79,543 238,630 119,315 357,946 178,973 536,920 268,460 134,230 67,115 201,346 100,673 302,020 151,010 75,505 226,516 113,258 56,629 169,888 84,944 42,472 21,236 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042

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