λ
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10,359,260

22 × 5 × 37 × 13999
Abundant Even Composite

10,359,260 factors as 2^2 × 5 × 37 × 13999. Its 24 positive divisors give a proper-divisor sum of 11,984,740, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 37 × 13999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,344,000
Proper Divisor Sum 11,984,740
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #10359247 ← → #10359277

Radix Representation

Decimal 10359260
Binary 100111100001000111011100 (24 bits)
Octal 0o47410734
Hexadecimal 0x9E11DC

Divisor Catalog (24)

1 2 4 5 10 20 37 74 148 185 370 740 13,999 27,998 55,996 69,995 139,990 279,980 517,963 1,035,926 2,071,852 2,589,815 5,179,630 10,359,260

Collatz Trajectory (189 steps to reach 1)

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

10,359,260 5,179,630 2,589,815 7,769,446 3,884,723 11,654,170 5,827,085 17,481,256 8,740,628 4,370,314 2,185,157 6,555,472 3,277,736 1,638,868 819,434 409,717 1,229,152 614,576 307,288 153,644 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960

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