λ
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2,372,032

26 × 13 × 2851
Abundant Even Composite

2,372,032 factors as 2^6 × 13 × 2851. Its 28 positive divisors give a proper-divisor sum of 2,698,824, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 2851
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 5,070,856
Proper Divisor Sum 2,698,824
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2372023 ← → #2372053

Radix Representation

Decimal 2372032
Binary 1001000011000111000000 (22 bits)
Octal 0o11030700
Hexadecimal 0x2431C0

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 2,851 5,702 11,404 22,808 37,063 45,616 74,126 91,232 148,252 182,464 296,504 593,008 1,186,016 2,372,032

Collatz Trajectory (148 steps to reach 1)

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

2,372,032 1,186,016 593,008 296,504 148,252 74,126 37,063 111,190 55,595 166,786 83,393 250,180 125,090 62,545 187,636 93,818 46,909 140,728 70,364 35,182 17,591 52,774 26,387 79,162 39,581 118,744 59,372 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064

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