λ
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Atlas › Integer Profiles › Node 61,311,955

61,311,955

5 × 19 × 31 × 109 × 191
Deficient Odd Composite

61,311,955 factors as 5 × 19 × 31 × 109 × 191. Its 32 positive divisors give a proper-divisor sum of 19,788,845, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 5 × 19 × 31 × 109 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,100,800
Proper Divisor Sum 19,788,845
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #61311953 ← → #61311959

Radix Representation

Decimal 61311955
Binary 11101001111000101111010011 (26 bits)
Octal 0o351705723
Hexadecimal 0x3A78BD3

Divisor Catalog (32)

1 5 19 31 95 109 155 191 545 589 955 2,071 2,945 3,379 3,629 5,921 10,355 16,895 18,145 20,819 29,605 64,201 104,095 112,499 321,005 395,561 562,495 645,389 1,977,805 3,226,945 12,262,391 61,311,955

Collatz Trajectory (212 steps to reach 1)

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

61,311,955 183,935,866 91,967,933 275,903,800 137,951,900 68,975,950 34,487,975 103,463,926 51,731,963 155,195,890 77,597,945 232,793,836 116,396,918 58,198,459 174,595,378 87,297,689 261,893,068 130,946,534 65,473,267 196,419,802 98,209,901 294,629,704 147,314,852 73,657,426 36,828,713 110,486,140 55,243,070 27,621,535 82,864,606 41,432,303 124,296,910 62,148,455 186,445,366 93,222,683 279,668,050 139,834,025 419,502,076 209,751,038 104,875,519 314,626,558 157,313,279 471,939,838 235,969,919 707,909,758 353,954,879 1,061,864,638 530,932,319 1,592,796,958 796,398,479 2,389,195,438 1,194,597,719 3,583,793,158 1,791,896,579 5,375,689,738 2,687,844,869 8,063,534,608 4,031,767,304 2,015,883,652 1,007,941,826 503,970,913

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