λ
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Atlas › Integer Profiles › Node 50,722,685

50,722,685

5 × 13 × 19 × 67 × 613
Deficient Odd Composite

50,722,685 factors as 5 × 13 × 19 × 67 × 613. Its 32 positive divisors give a proper-divisor sum of 19,420,675, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 5 × 13 × 19 × 67 × 613
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,143,360
Proper Divisor Sum 19,420,675
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #50722673 ← → #50722691

Radix Representation

Decimal 50722685
Binary 11000001011111011101111101 (26 bits)
Octal 0o301373575
Hexadecimal 0x305F77D

Divisor Catalog (32)

1 5 13 19 65 67 95 247 335 613 871 1,235 1,273 3,065 4,355 6,365 7,969 11,647 16,549 39,845 41,071 58,235 82,745 151,411 205,355 533,923 757,055 780,349 2,669,615 3,901,745 10,144,537 50,722,685

Collatz Trajectory (181 steps to reach 1)

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

50,722,685 152,168,056 76,084,028 38,042,014 19,021,007 57,063,022 28,531,511 85,594,534 42,797,267 128,391,802 64,195,901 192,587,704 96,293,852 48,146,926 24,073,463 72,220,390 36,110,195 108,330,586 54,165,293 162,495,880 81,247,940 40,623,970 20,311,985 60,935,956 30,467,978 15,233,989 45,701,968 22,850,984 11,425,492 5,712,746 2,856,373 8,569,120 4,284,560 2,142,280 1,071,140 535,570 267,785 803,356 401,678 200,839 602,518 301,259 903,778 451,889 1,355,668 677,834 338,917 1,016,752 508,376 254,188 127,094 63,547 190,642 95,321 285,964 142,982 71,491 214,474 107,237 321,712

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