80,213,146

2 × 13² × 43 × 5519

80,213,146 factors as 2 × 13^2 × 43 × 5519. Its 24 positive divisors give a proper-divisor sum of 53,127,974, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 43 × 5519

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 133,341,120

Proper Divisor Sum 53,127,974

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #80213141 ← → #80213149

Radix Representation

Decimal	80213146
Binary	100110001111111010010011010 (27 bits)
Octal	0o461772232
Hexadecimal	0x4C7F49A

Divisor Catalog (24)

Collatz Trajectory (117 steps to reach 1)

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

80,213,146 40,106,573 120,319,720 60,159,860 30,079,930 15,039,965 45,119,896 22,559,948 11,279,974 5,639,987 16,919,962 8,459,981 25,379,944 12,689,972 6,344,986 3,172,493 9,517,480 4,758,740 2,379,370 1,189,685 3,569,056 1,784,528 892,264 446,132 223,066 111,533 334,600 167,300 83,650 41,825 125,476 62,738 31,369 94,108 47,054 23,527 70,582 35,291 105,874 52,937 158,812 79,406 39,703 119,110 59,555 178,666 89,333 268,000 134,000 67,000 33,500 16,750 8,375 25,126 12,563 37,690 18,845 56,536 28,268 14,134

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