λ
Ratio Atlas

43,661,532

22 × 3 × 1709 × 2129
Abundant Even Composite

43,661,532 factors as 2^2 × 3 × 1709 × 2129. Its 24 positive divisors give a proper-divisor sum of 58,322,868, so this integer is abundant. The Collatz stopping time is 359 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 1709 × 2129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 101,984,400
Proper Divisor Sum 58,322,868
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #43661509 ← → #43661533

Radix Representation

Decimal 43661532
Binary 10100110100011100011011100 (26 bits)
Octal 0o246434334
Hexadecimal 0x29A38DC

Divisor Catalog (24)

Collatz Trajectory (359 steps to reach 1)

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

43,661,532 21,830,766 10,915,383 32,746,150 16,373,075 49,119,226 24,559,613 73,678,840 36,839,420 18,419,710 9,209,855 27,629,566 13,814,783 41,444,350 20,722,175 62,166,526 31,083,263 93,249,790 46,624,895 139,874,686 69,937,343 209,812,030 104,906,015 314,718,046 157,359,023 472,077,070 236,038,535 708,115,606 354,057,803 1,062,173,410 531,086,705 1,593,260,116 796,630,058 398,315,029 1,194,945,088 597,472,544 298,736,272 149,368,136 74,684,068 37,342,034 18,671,017 56,013,052 28,006,526 14,003,263 42,009,790 21,004,895 63,014,686 31,507,343 94,522,030 47,261,015 141,783,046 70,891,523 212,674,570 106,337,285 319,011,856 159,505,928 79,752,964 39,876,482 19,938,241 59,814,724

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