λ
Ratio Atlas

67,410,751

67410751
Deficient Odd Prime

67,410,751 factors as 67410751. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 67410751
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 67,410,752
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #67410743 ← → #67410757

Radix Representation

Decimal 67410751
Binary 100000001001001101100111111 (27 bits)
Octal 0o401115477
Hexadecimal 0x4049B3F

Divisor Catalog (2)

Collatz Trajectory (189 steps to reach 1)

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

67,410,751 202,232,254 101,116,127 303,348,382 151,674,191 455,022,574 227,511,287 682,533,862 341,266,931 1,023,800,794 511,900,397 1,535,701,192 767,850,596 383,925,298 191,962,649 575,887,948 287,943,974 143,971,987 431,915,962 215,957,981 647,873,944 323,936,972 161,968,486 80,984,243 242,952,730 121,476,365 364,429,096 182,214,548 91,107,274 45,553,637 136,660,912 68,330,456 34,165,228 17,082,614 8,541,307 25,623,922 12,811,961 38,435,884 19,217,942 9,608,971 28,826,914 14,413,457 43,240,372 21,620,186 10,810,093 32,430,280 16,215,140 8,107,570 4,053,785 12,161,356 6,080,678 3,040,339 9,121,018 4,560,509 13,681,528 6,840,764 3,420,382 1,710,191 5,130,574 2,565,287

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