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Atlas › Integer Profiles › Node 3,938,430

3,938,430

2 × 3 × 5 × 53 × 2477
Abundant Even Composite

3,938,430 factors as 2 × 3 × 5 × 53 × 2477. Its 32 positive divisors give a proper-divisor sum of 5,696,034, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 53 × 2477
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,634,464
Proper Divisor Sum 5,696,034
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3938393 ← → #3938437

Radix Representation

Decimal 3938430
Binary 1111000001100001111110 (22 bits)
Octal 0o17014176
Hexadecimal 0x3C187E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1,590 2,477 4,954 7,431 12,385 14,862 24,770 37,155 74,310 131,281 262,562 393,843 656,405 787,686 1,312,810 1,969,215 3,938,430

Collatz Trajectory (185 steps to reach 1)

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

3,938,430 1,969,215 5,907,646 2,953,823 8,861,470 4,430,735 13,292,206 6,646,103 19,938,310 9,969,155 29,907,466 14,953,733 44,861,200 22,430,600 11,215,300 5,607,650 2,803,825 8,411,476 4,205,738 2,102,869 6,308,608 3,154,304 1,577,152 788,576 394,288 197,144 98,572 49,286 24,643 73,930 36,965 110,896 55,448 27,724 13,862 6,931 20,794 10,397 31,192 15,596 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695

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