λ
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5,437,420

22 × 5 × 19 × 41 × 349
Abundant Even Composite

5,437,420 factors as 2^2 × 5 × 19 × 41 × 349. Its 48 positive divisors give a proper-divisor sum of 6,910,580, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 41 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,348,000
Proper Divisor Sum 6,910,580
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5437403 ← → #5437459

Radix Representation

Decimal 5437420
Binary 10100101111011111101100 (23 bits)
Octal 0o24573754
Hexadecimal 0x52F7EC

Divisor Catalog (48)

1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 349 380 410 698 779 820 1,396 1,558 1,745 3,116 3,490 3,895 6,631 6,980 7,790 13,262 14,309 15,580 26,524 28,618 33,155 57,236 66,310 71,545 132,620 143,090 271,871 286,180 543,742 1,087,484 1,359,355 2,718,710 5,437,420

Collatz Trajectory (157 steps to reach 1)

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

5,437,420 2,718,710 1,359,355 4,078,066 2,039,033 6,117,100 3,058,550 1,529,275 4,587,826 2,293,913 6,881,740 3,440,870 1,720,435 5,161,306 2,580,653 7,741,960 3,870,980 1,935,490 967,745 2,903,236 1,451,618 725,809 2,177,428 1,088,714 544,357 1,633,072 816,536 408,268 204,134 102,067 306,202 153,101 459,304 229,652 114,826 57,413 172,240 86,120 43,060 21,530 10,765 32,296 16,148 8,074 4,037 12,112 6,056 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161

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