λ
Zalai Atlas

4,176,150

2 × 3 × 52 × 11 × 2531
Abundant Even Composite

4,176,150 has the prime decomposition 2 × 3 × 5^2 × 11 × 2531. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 11 × 2531
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,302,848
Proper Divisor Sum 7,126,698
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4176127 ← → #4176157

Radix Representation

Decimal 4176150
Binary 1111111011100100010110 (22 bits)
Octal 0o17734426
Hexadecimal 0x3FB916

Divisor Catalog (48)

1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1,650 2,531 5,062 7,593 12,655 15,186 25,310 27,841 37,965 55,682 63,275 75,930 83,523 126,550 139,205 167,046 189,825 278,410 379,650 417,615 696,025 835,230 1,392,050 2,088,075 4,176,150

Collatz Trajectory (79 steps to reach 1)

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

4,176,150 2,088,075 6,264,226 3,132,113 9,396,340 4,698,170 2,349,085 7,047,256 3,523,628 1,761,814 880,907 2,642,722 1,321,361 3,964,084 1,982,042 991,021 2,973,064 1,486,532 743,266 371,633 1,114,900 557,450 278,725 836,176 418,088 209,044 104,522 52,261 156,784 78,392 39,196 19,598 9,799 29,398 14,699 44,098 22,049 66,148 33,074 16,537 49,612 24,806 12,403 37,210 18,605 55,816 27,908 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736

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