λ
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4,123,040

25 × 5 × 73 × 353
Abundant Even Composite

4,123,040 factors as 2^5 × 5 × 73 × 353. Its 48 positive divisors give a proper-divisor sum of 5,779,048, so this integer is abundant. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 73 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,902,088
Proper Divisor Sum 5,779,048
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #4123039 ← → #4123043

Radix Representation

Decimal 4123040
Binary 1111101110100110100000 (22 bits)
Octal 0o17564640
Hexadecimal 0x3EE9A0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 353 365 584 706 730 1,168 1,412 1,460 1,765 2,336 2,824 2,920 3,530 5,648 5,840 7,060 11,296 11,680 14,120 25,769 28,240 51,538 56,480 103,076 128,845 206,152 257,690 412,304 515,380 824,608 1,030,760 2,061,520 4,123,040

Collatz Trajectory (53 steps to reach 1)

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

4,123,040 2,061,520 1,030,760 515,380 257,690 128,845 386,536 193,268 96,634 48,317 144,952 72,476 36,238 18,119 54,358 27,179 81,538 40,769 122,308 61,154 30,577 91,732 45,866 22,933 68,800 34,400 17,200 8,600 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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