λ
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Atlas › Integer Profiles › Node 67,714,031

67,714,031

73 × 11 × 131 × 137
Deficient Odd Composite

67,714,031 factors as 7^3 × 11 × 131 × 137. Its 32 positive divisors give a proper-divisor sum of 19,722,769, so this integer is deficient. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 7^3 × 11 × 131 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 87,436,800
Proper Divisor Sum 19,722,769
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #67714021 ← → #67714057

Radix Representation

Decimal 67714031
Binary 100000010010011101111101111 (27 bits)
Octal 0o402235757
Hexadecimal 0x4093BEF

Divisor Catalog (32)

1 7 11 49 77 131 137 343 539 917 959 1,441 1,507 3,773 6,419 6,713 10,087 10,549 17,947 44,933 46,991 70,609 73,843 125,629 197,417 494,263 516,901 879,403 1,381,919 6,155,821 9,673,433 67,714,031

Collatz Trajectory (277 steps to reach 1)

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

67,714,031 203,142,094 101,571,047 304,713,142 152,356,571 457,069,714 228,534,857 685,604,572 342,802,286 171,401,143 514,203,430 257,101,715 771,305,146 385,652,573 1,156,957,720 578,478,860 289,239,430 144,619,715 433,859,146 216,929,573 650,788,720 325,394,360 162,697,180 81,348,590 40,674,295 122,022,886 61,011,443 183,034,330 91,517,165 274,551,496 137,275,748 68,637,874 34,318,937 102,956,812 51,478,406 25,739,203 77,217,610 38,608,805 115,826,416 57,913,208 28,956,604 14,478,302 7,239,151 21,717,454 10,858,727 32,576,182 16,288,091 48,864,274 24,432,137 73,296,412 36,648,206 18,324,103 54,972,310 27,486,155 82,458,466 41,229,233 123,687,700 61,843,850 30,921,925 92,765,776

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