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Atlas › Integer Profiles › Node 3,672,028

3,672,028

22 × 37 × 43 × 577
Deficient Even Composite

3,672,028 factors as 2^2 × 37 × 43 × 577. Its 24 positive divisors give a proper-divisor sum of 3,092,884, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 43 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,764,912
Proper Divisor Sum 3,092,884
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3672023 ← → #3672029

Radix Representation

Decimal 3672028
Binary 1110000000011111011100 (22 bits)
Octal 0o16003734
Hexadecimal 0x3807DC

Divisor Catalog (24)

1 2 4 37 43 74 86 148 172 577 1,154 1,591 2,308 3,182 6,364 21,349 24,811 42,698 49,622 85,396 99,244 918,007 1,836,014 3,672,028

Collatz Trajectory (203 steps to reach 1)

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

3,672,028 1,836,014 918,007 2,754,022 1,377,011 4,131,034 2,065,517 6,196,552 3,098,276 1,549,138 774,569 2,323,708 1,161,854 580,927 1,742,782 871,391 2,614,174 1,307,087 3,921,262 1,960,631 5,881,894 2,940,947 8,822,842 4,411,421 13,234,264 6,617,132 3,308,566 1,654,283 4,962,850 2,481,425 7,444,276 3,722,138 1,861,069 5,583,208 2,791,604 1,395,802 697,901 2,093,704 1,046,852 523,426 261,713 785,140 392,570 196,285 588,856 294,428 147,214 73,607 220,822 110,411 331,234 165,617 496,852 248,426 124,213 372,640 186,320 93,160 46,580 23,290

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