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Atlas › Integer Profiles › Node 4,770,370

4,770,370

2 × 5 × 11 × 17 × 2551
Abundant Even Composite

4,770,370 factors as 2 × 5 × 11 × 17 × 2551. Its 32 positive divisors give a proper-divisor sum of 5,151,806, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 17 × 2551
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,922,176
Proper Divisor Sum 5,151,806
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4770347 ← → #4770379

Radix Representation

Decimal 4770370
Binary 10010001100101001000010 (23 bits)
Octal 0o22145102
Hexadecimal 0x48CA42

Divisor Catalog (32)

1 2 5 10 11 17 22 34 55 85 110 170 187 374 935 1,870 2,551 5,102 12,755 25,510 28,061 43,367 56,122 86,734 140,305 216,835 280,610 433,670 477,037 954,074 2,385,185 4,770,370

Collatz Trajectory (162 steps to reach 1)

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

4,770,370 2,385,185 7,155,556 3,577,778 1,788,889 5,366,668 2,683,334 1,341,667 4,025,002 2,012,501 6,037,504 3,018,752 1,509,376 754,688 377,344 188,672 94,336 47,168 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142

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