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Atlas › Integer Profiles › Node 3,935,010

3,935,010

2 × 3 × 5 × 29 × 4523
Abundant Even Composite

3,935,010 factors as 2 × 3 × 5 × 29 × 4523. Its 32 positive divisors give a proper-divisor sum of 5,836,830, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 29 × 4523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,771,840
Proper Divisor Sum 5,836,830
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3935003 ← → #3935011

Radix Representation

Decimal 3935010
Binary 1111000000101100100010 (22 bits)
Octal 0o17005442
Hexadecimal 0x3C0B22

Divisor Catalog (32)

1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 4,523 9,046 13,569 22,615 27,138 45,230 67,845 131,167 135,690 262,334 393,501 655,835 787,002 1,311,670 1,967,505 3,935,010

Collatz Trajectory (110 steps to reach 1)

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

3,935,010 1,967,505 5,902,516 2,951,258 1,475,629 4,426,888 2,213,444 1,106,722 553,361 1,660,084 830,042 415,021 1,245,064 622,532 311,266 155,633 466,900 233,450 116,725 350,176 175,088 87,544 43,772 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662 118,331 354,994 177,497 532,492 266,246 133,123 399,370 199,685 599,056 299,528 149,764

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