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Atlas › Integer Profiles › Node 38,236,940

38,236,940

22 × 5 × 7 × 113 × 2417
Abundant Even Composite

38,236,940 factors as 2^2 × 5 × 7 × 113 × 2417. Its 48 positive divisors give a proper-divisor sum of 54,382,132, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 113 × 2417
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 92,619,072
Proper Divisor Sum 54,382,132
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #38236937 ← → #38236943

Radix Representation

Decimal 38236940
Binary 10010001110111001100001100 (26 bits)
Octal 0o221671414
Hexadecimal 0x247730C

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 791 1,130 1,582 2,260 2,417 3,164 3,955 4,834 7,910 9,668 12,085 15,820 16,919 24,170 33,838 48,340 67,676 84,595 169,190 273,121 338,380 546,242 1,092,484 1,365,605 1,911,847 2,731,210 3,823,694 5,462,420 7,647,388 9,559,235 19,118,470 38,236,940

Collatz Trajectory (103 steps to reach 1)

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

38,236,940 19,118,470 9,559,235 28,677,706 14,338,853 43,016,560 21,508,280 10,754,140 5,377,070 2,688,535 8,065,606 4,032,803 12,098,410 6,049,205 18,147,616 9,073,808 4,536,904 2,268,452 1,134,226 567,113 1,701,340 850,670 425,335 1,276,006 638,003 1,914,010 957,005 2,871,016 1,435,508 717,754 358,877 1,076,632 538,316 269,158 134,579 403,738 201,869 605,608 302,804 151,402 75,701 227,104 113,552 56,776 28,388 14,194 7,097 21,292 10,646 5,323 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123

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