λ
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Atlas › Integer Profiles › Node 61,301,532

61,301,532

22 × 3 × 23 × 222107
Abundant Even Composite

61,301,532 factors as 2^2 × 3 × 23 × 222107. Its 24 positive divisors give a proper-divisor sum of 87,955,044, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 222107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 149,256,576
Proper Divisor Sum 87,955,044
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #61301497 ← → #61301533

Radix Representation

Decimal 61301532
Binary 11101001110110001100011100 (26 bits)
Octal 0o351661434
Hexadecimal 0x3A7631C

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 222,107 444,214 666,321 888,428 1,332,642 2,665,284 5,108,461 10,216,922 15,325,383 20,433,844 30,650,766 61,301,532

Collatz Trajectory (220 steps to reach 1)

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

61,301,532 30,650,766 15,325,383 45,976,150 22,988,075 68,964,226 34,482,113 103,446,340 51,723,170 25,861,585 77,584,756 38,792,378 19,396,189 58,188,568 29,094,284 14,547,142 7,273,571 21,820,714 10,910,357 32,731,072 16,365,536 8,182,768 4,091,384 2,045,692 1,022,846 511,423 1,534,270 767,135 2,301,406 1,150,703 3,452,110 1,726,055 5,178,166 2,589,083 7,767,250 3,883,625 11,650,876 5,825,438 2,912,719 8,738,158 4,369,079 13,107,238 6,553,619 19,660,858 9,830,429 29,491,288 14,745,644 7,372,822 3,686,411 11,059,234 5,529,617 16,588,852 8,294,426 4,147,213 12,441,640 6,220,820 3,110,410 1,555,205 4,665,616 2,332,808

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