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Atlas › Integer Profiles › Node 4,428,830

4,428,830

2 × 5 × 7 × 151 × 419
Abundant Even Composite

4,428,830 factors as 2 × 5 × 7 × 151 × 419. Its 32 positive divisors give a proper-divisor sum of 4,764,130, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 151 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,192,960
Proper Divisor Sum 4,764,130
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4428829 ← → #4428833

Radix Representation

Decimal 4428830
Binary 10000111001010000011110 (23 bits)
Octal 0o20712036
Hexadecimal 0x43941E

Divisor Catalog (32)

1 2 5 7 10 14 35 70 151 302 419 755 838 1,057 1,510 2,095 2,114 2,933 4,190 5,285 5,866 10,570 14,665 29,330 63,269 126,538 316,345 442,883 632,690 885,766 2,214,415 4,428,830

Collatz Trajectory (105 steps to reach 1)

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

4,428,830 2,214,415 6,643,246 3,321,623 9,964,870 4,982,435 14,947,306 7,473,653 22,420,960 11,210,480 5,605,240 2,802,620 1,401,310 700,655 2,101,966 1,050,983 3,152,950 1,576,475 4,729,426 2,364,713 7,094,140 3,547,070 1,773,535 5,320,606 2,660,303 7,980,910 3,990,455 11,971,366 5,985,683 17,957,050 8,978,525 26,935,576 13,467,788 6,733,894 3,366,947 10,100,842 5,050,421 15,151,264 7,575,632 3,787,816 1,893,908 946,954 473,477 1,420,432 710,216 355,108 177,554 88,777 266,332 133,166 66,583 199,750 99,875 299,626 149,813 449,440 224,720 112,360 56,180 28,090

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