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Atlas › Integer Profiles › Node 3,379,360

3,379,360

25 × 5 × 21121
Abundant Even Composite

3,379,360 factors as 2^5 × 5 × 21121. Its 24 positive divisors give a proper-divisor sum of 4,604,756, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 21121
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,984,116
Proper Divisor Sum 4,604,756
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3379357 ← → #3379361

Radix Representation

Decimal 3379360
Binary 1100111001000010100000 (22 bits)
Octal 0o14710240
Hexadecimal 0x3390A0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 21,121 42,242 84,484 105,605 168,968 211,210 337,936 422,420 675,872 844,840 1,689,680 3,379,360

Collatz Trajectory (146 steps to reach 1)

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

3,379,360 1,689,680 844,840 422,420 211,210 105,605 316,816 158,408 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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