λ
Ratio Atlas

75,985,249

29 × 2620181
Deficient Odd Composite

75,985,249 factors as 29 × 2620181. Its 4 positive divisors give a proper-divisor sum of 2,620,211, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 29 × 2620181
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 78,605,460
Proper Divisor Sum 2,620,211
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #75985219 ← → #75985253

Radix Representation

Decimal 75985249
Binary 100100001110111000101100001 (27 bits)
Octal 0o441670541
Hexadecimal 0x4877161

Divisor Catalog (4)

Collatz Trajectory (179 steps to reach 1)

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

75,985,249 227,955,748 113,977,874 56,988,937 170,966,812 85,483,406 42,741,703 128,225,110 64,112,555 192,337,666 96,168,833 288,506,500 144,253,250 72,126,625 216,379,876 108,189,938 54,094,969 162,284,908 81,142,454 40,571,227 121,713,682 60,856,841 182,570,524 91,285,262 45,642,631 136,927,894 68,463,947 205,391,842 102,695,921 308,087,764 154,043,882 77,021,941 231,065,824 115,532,912 57,766,456 28,883,228 14,441,614 7,220,807 21,662,422 10,831,211 32,493,634 16,246,817 48,740,452 24,370,226 12,185,113 36,555,340 18,277,670 9,138,835 27,416,506 13,708,253 41,124,760 20,562,380 10,281,190 5,140,595 15,421,786 7,710,893 23,132,680 11,566,340 5,783,170 2,891,585

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