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Atlas › Integer Profiles › Node 3,620,240

3,620,240

24 × 5 × 13 × 592
Abundant Even Composite

3,620,240 factors as 2^4 × 5 × 13 × 59^2. Its 60 positive divisors give a proper-divisor sum of 5,600,524, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 59^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,220,764
Proper Divisor Sum 5,600,524
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3620231 ← → #3620249

Radix Representation

Decimal 3620240
Binary 1101110011110110010000 (22 bits)
Octal 0o15636620
Hexadecimal 0x373D90

Divisor Catalog (60)

1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 208 236 260 295 472 520 590 767 944 1,040 1,180 1,534 2,360 3,068 3,481 3,835 4,720 6,136 6,962 7,670 12,272 13,924 15,340 17,405 27,848 30,680 34,810 45,253 55,696 61,360 69,620 90,506 139,240 181,012 226,265 278,480 362,024 452,530 724,048 905,060 1,810,120 3,620,240

Collatz Trajectory (159 steps to reach 1)

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

3,620,240 1,810,120 905,060 452,530 226,265 678,796 339,398 169,699 509,098 254,549 763,648 381,824 190,912 95,456 47,728 23,864 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107

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