λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,551,148

50,551,148

22 × 23 × 712 × 109
Deficient Even Composite

50,551,148 factors as 2^2 × 23 × 71^2 × 109. Its 36 positive divisors give a proper-divisor sum of 43,937,092, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 71^2 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 94,488,240
Proper Divisor Sum 43,937,092
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #50551133 ← → #50551159

Radix Representation

Decimal 50551148
Binary 11000000110101100101101100 (26 bits)
Octal 0o300654554
Hexadecimal 0x303596C

Divisor Catalog (36)

1 2 4 23 46 71 92 109 142 218 284 436 1,633 2,507 3,266 5,014 5,041 6,532 7,739 10,028 10,082 15,478 20,164 30,956 115,943 177,997 231,886 355,994 463,772 549,469 711,988 1,098,938 2,197,876 12,637,787 25,275,574 50,551,148

Collatz Trajectory (155 steps to reach 1)

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

50,551,148 25,275,574 12,637,787 37,913,362 18,956,681 56,870,044 28,435,022 14,217,511 42,652,534 21,326,267 63,978,802 31,989,401 95,968,204 47,984,102 23,992,051 71,976,154 35,988,077 107,964,232 53,982,116 26,991,058 13,495,529 40,486,588 20,243,294 10,121,647 30,364,942 15,182,471 45,547,414 22,773,707 68,321,122 34,160,561 102,481,684 51,240,842 25,620,421 76,861,264 38,430,632 19,215,316 9,607,658 4,803,829 14,411,488 7,205,744 3,602,872 1,801,436 900,718 450,359 1,351,078 675,539 2,026,618 1,013,309 3,039,928 1,519,964 759,982 379,991 1,139,974 569,987 1,709,962 854,981 2,564,944 1,282,472 641,236 320,618

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