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Atlas › Integer Profiles › Node 61,314,064

61,314,064

24 × 7 × 19 × 28813
Abundant Even Composite

61,314,064 factors as 2^4 × 7 × 19 × 28813. Its 40 positive divisors give a proper-divisor sum of 81,603,376, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 19 × 28813
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 142,917,440
Proper Divisor Sum 81,603,376
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #61314047 ← → #61314079

Radix Representation

Decimal 61314064
Binary 11101001111001010000010000 (26 bits)
Octal 0o351712020
Hexadecimal 0x3A79410

Divisor Catalog (40)

1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1,064 2,128 28,813 57,626 115,252 201,691 230,504 403,382 461,008 547,447 806,764 1,094,894 1,613,528 2,189,788 3,227,056 3,832,129 4,379,576 7,664,258 8,759,152 15,328,516 30,657,032 61,314,064

Collatz Trajectory (114 steps to reach 1)

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

61,314,064 30,657,032 15,328,516 7,664,258 3,832,129 11,496,388 5,748,194 2,874,097 8,622,292 4,311,146 2,155,573 6,466,720 3,233,360 1,616,680 808,340 404,170 202,085 606,256 303,128 151,564 75,782 37,891 113,674 56,837 170,512 85,256 42,628 21,314 10,657 31,972 15,986 7,993 23,980 11,990 5,995 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802

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