λ
Match Zalai

3,580,084

22 × 47 × 137 × 139
Deficient Even Composite

3,580,084 factors as 2^2 × 47 × 137 × 139. Its 24 positive divisors give a proper-divisor sum of 2,911,436, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 137 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,491,520
Proper Divisor Sum 2,911,436
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3580069 ← → #3580091

Radix Representation

Decimal 3580084
Binary 1101101010000010110100 (22 bits)
Octal 0o15520264
Hexadecimal 0x36A0B4

Divisor Catalog (24)

1 2 4 47 94 137 139 188 274 278 548 556 6,439 6,533 12,878 13,066 19,043 25,756 26,132 38,086 76,172 895,021 1,790,042 3,580,084

Collatz Trajectory (190 steps to reach 1)

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

3,580,084 1,790,042 895,021 2,685,064 1,342,532 671,266 335,633 1,006,900 503,450 251,725 755,176 377,588 188,794 94,397 283,192 141,596 70,798 35,399 106,198 53,099 159,298 79,649 238,948 119,474 59,737 179,212 89,606 44,803 134,410 67,205 201,616 100,808 50,404 25,202 12,601 37,804 18,902 9,451 28,354 14,177 42,532 21,266 10,633 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714

More profiles

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