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Atlas › Integer Profiles › Node 43,390,752

43,390,752

25 × 3 × 451987
Abundant Even Composite

43,390,752 factors as 2^5 × 3 × 451987. Its 24 positive divisors give a proper-divisor sum of 70,510,224, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 451987
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 113,900,976
Proper Divisor Sum 70,510,224
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #43390733 ← → #43390759

Radix Representation

Decimal 43390752
Binary 10100101100001011100100000 (26 bits)
Octal 0o245413440
Hexadecimal 0x2961720

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 451,987 903,974 1,355,961 1,807,948 2,711,922 3,615,896 5,423,844 7,231,792 10,847,688 14,463,584 21,695,376 43,390,752

Collatz Trajectory (90 steps to reach 1)

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

43,390,752 21,695,376 10,847,688 5,423,844 2,711,922 1,355,961 4,067,884 2,033,942 1,016,971 3,050,914 1,525,457 4,576,372 2,288,186 1,144,093 3,432,280 1,716,140 858,070 429,035 1,287,106 643,553 1,930,660 965,330 482,665 1,447,996 723,998 361,999 1,085,998 542,999 1,628,998 814,499 2,443,498 1,221,749 3,665,248 1,832,624 916,312 458,156 229,078 114,539 343,618 171,809 515,428 257,714 128,857 386,572 193,286 96,643 289,930 144,965 434,896 217,448 108,724 54,362 27,181 81,544 40,772 20,386 10,193 30,580 15,290 7,645

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