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Atlas › Integer Profiles › Node 67,961,024

67,961,024

26 × 19 × 55889
Abundant Even Composite

67,961,024 factors as 2^6 × 19 × 55889. Its 28 positive divisors give a proper-divisor sum of 73,999,576, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^6 × 19 × 55889
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 141,960,600
Proper Divisor Sum 73,999,576
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #67961009 ← → #67961051

Radix Representation

Decimal 67961024
Binary 100000011010000000011000000 (27 bits)
Octal 0o403200300
Hexadecimal 0x40D00C0

Divisor Catalog (28)

1 2 4 8 16 19 32 38 64 76 152 304 608 1,216 55,889 111,778 223,556 447,112 894,224 1,061,891 1,788,448 2,123,782 3,576,896 4,247,564 8,495,128 16,990,256 33,980,512 67,961,024

Collatz Trajectory (140 steps to reach 1)

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

67,961,024 33,980,512 16,990,256 8,495,128 4,247,564 2,123,782 1,061,891 3,185,674 1,592,837 4,778,512 2,389,256 1,194,628 597,314 298,657 895,972 447,986 223,993 671,980 335,990 167,995 503,986 251,993 755,980 377,990 188,995 566,986 283,493 850,480 425,240 212,620 106,310 53,155 159,466 79,733 239,200 119,600 59,800 29,900 14,950 7,475 22,426 11,213 33,640 16,820 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986

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