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Atlas › Integer Profiles › Node 4,659,130

4,659,130

2 × 5 × 7 × 101 × 659
Abundant Even Composite

4,659,130 factors as 2 × 5 × 7 × 101 × 659. Its 32 positive divisors give a proper-divisor sum of 5,034,950, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 101 × 659
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,694,080
Proper Divisor Sum 5,034,950
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4659073 ← → #4659131

Radix Representation

Decimal 4659130
Binary 10001110001011110111010 (23 bits)
Octal 0o21613672
Hexadecimal 0x4717BA

Divisor Catalog (32)

1 2 5 7 10 14 35 70 101 202 505 659 707 1,010 1,318 1,414 3,295 3,535 4,613 6,590 7,070 9,226 23,065 46,130 66,559 133,118 332,795 465,913 665,590 931,826 2,329,565 4,659,130

Collatz Trajectory (149 steps to reach 1)

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

4,659,130 2,329,565 6,988,696 3,494,348 1,747,174 873,587 2,620,762 1,310,381 3,931,144 1,965,572 982,786 491,393 1,474,180 737,090 368,545 1,105,636 552,818 276,409 829,228 414,614 207,307 621,922 310,961 932,884 466,442 233,221 699,664 349,832 174,916 87,458 43,729 131,188 65,594 32,797 98,392 49,196 24,598 12,299 36,898 18,449 55,348 27,674 13,837 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137

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