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Atlas › Integer Profiles › Node 3,967,150

3,967,150

2 × 52 × 11 × 7213
Abundant Even Composite

3,967,150 factors as 2 × 5^2 × 11 × 7213. Its 24 positive divisors give a proper-divisor sum of 4,083,674, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 7213
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,050,824
Proper Divisor Sum 4,083,674
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3967147 ← → #3967157

Radix Representation

Decimal 3967150
Binary 1111001000100010101110 (22 bits)
Octal 0o17104256
Hexadecimal 0x3C88AE

Divisor Catalog (24)

1 2 5 10 11 22 25 50 55 110 275 550 7,213 14,426 36,065 72,130 79,343 158,686 180,325 360,650 396,715 793,430 1,983,575 3,967,150

Collatz Trajectory (123 steps to reach 1)

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

3,967,150 1,983,575 5,950,726 2,975,363 8,926,090 4,463,045 13,389,136 6,694,568 3,347,284 1,673,642 836,821 2,510,464 1,255,232 627,616 313,808 156,904 78,452 39,226 19,613 58,840 29,420 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196

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