λ
Sigma Notebook

4,262,036

22 × 17 × 233 × 269
Deficient Even Composite

4,262,036 is even and not a perfect square. Its factorization is 2^2 × 17 × 233 × 269 and its 24 divisors sum to 7,960,680.

Prime Factor Structure

Factorization String 2^2 × 17 × 233 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,960,680
Proper Divisor Sum 3,698,644
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4262033 ← → #4262047

Radix Representation

Decimal 4262036
Binary 10000010000100010010100 (23 bits)
Octal 0o20204224
Hexadecimal 0x410894

Divisor Catalog (24)

1 2 4 17 34 68 233 269 466 538 932 1,076 3,961 4,573 7,922 9,146 15,844 18,292 62,677 125,354 250,708 1,065,509 2,131,018 4,262,036

Collatz Trajectory (149 steps to reach 1)

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

4,262,036 2,131,018 1,065,509 3,196,528 1,598,264 799,132 399,566 199,783 599,350 299,675 899,026 449,513 1,348,540 674,270 337,135 1,011,406 505,703 1,517,110 758,555 2,275,666 1,137,833 3,413,500 1,706,750 853,375 2,560,126 1,280,063 3,840,190 1,920,095 5,760,286 2,880,143 8,640,430 4,320,215 12,960,646 6,480,323 19,440,970 9,720,485 29,161,456 14,580,728 7,290,364 3,645,182 1,822,591 5,467,774 2,733,887 8,201,662 4,100,831 12,302,494 6,151,247 18,453,742 9,226,871 27,680,614 13,840,307 41,520,922 20,760,461 62,281,384 31,140,692 15,570,346 7,785,173 23,355,520 11,677,760 5,838,880

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