λ
Ratio Atlas

80,311,327

80311327
Deficient Odd Prime

80,311,327 factors as 80311327. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 80311327
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 80,311,328
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #80311291 ← → #80311339

Radix Representation

Decimal 80311327
Binary 100110010010111010000011111 (27 bits)
Octal 0o462272037
Hexadecimal 0x4C9741F

Divisor Catalog (2)

Collatz Trajectory (166 steps to reach 1)

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

80,311,327 240,933,982 120,466,991 361,400,974 180,700,487 542,101,462 271,050,731 813,152,194 406,576,097 1,219,728,292 609,864,146 304,932,073 914,796,220 457,398,110 228,699,055 686,097,166 343,048,583 1,029,145,750 514,572,875 1,543,718,626 771,859,313 2,315,577,940 1,157,788,970 578,894,485 1,736,683,456 868,341,728 434,170,864 217,085,432 108,542,716 54,271,358 27,135,679 81,407,038 40,703,519 122,110,558 61,055,279 183,165,838 91,582,919 274,748,758 137,374,379 412,123,138 206,061,569 618,184,708 309,092,354 154,546,177 463,638,532 231,819,266 115,909,633 347,728,900 173,864,450 86,932,225 260,796,676 130,398,338 65,199,169 195,597,508 97,798,754 48,899,377 146,698,132 73,349,066 36,674,533 110,023,600

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