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Atlas › Integer Profiles › Node 3,589,752

3,589,752

23 × 3 × 373 × 401
Abundant Even Composite

3,589,752 factors as 2^3 × 3 × 373 × 401. Its 32 positive divisors give a proper-divisor sum of 5,431,128, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 373 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,020,880
Proper Divisor Sum 5,431,128
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3589741 ← → #3589753

Radix Representation

Decimal 3589752
Binary 1101101100011001111000 (22 bits)
Octal 0o15543170
Hexadecimal 0x36C678

Divisor Catalog (32)

1 2 3 4 6 8 12 24 373 401 746 802 1,119 1,203 1,492 1,604 2,238 2,406 2,984 3,208 4,476 4,812 8,952 9,624 149,573 299,146 448,719 598,292 897,438 1,196,584 1,794,876 3,589,752

Collatz Trajectory (128 steps to reach 1)

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

3,589,752 1,794,876 897,438 448,719 1,346,158 673,079 2,019,238 1,009,619 3,028,858 1,514,429 4,543,288 2,271,644 1,135,822 567,911 1,703,734 851,867 2,555,602 1,277,801 3,833,404 1,916,702 958,351 2,875,054 1,437,527 4,312,582 2,156,291 6,468,874 3,234,437 9,703,312 4,851,656 2,425,828 1,212,914 606,457 1,819,372 909,686 454,843 1,364,530 682,265 2,046,796 1,023,398 511,699 1,535,098 767,549 2,302,648 1,151,324 575,662 287,831 863,494 431,747 1,295,242 647,621 1,942,864 971,432 485,716 242,858 121,429 364,288 182,144 91,072 45,536 22,768

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