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Atlas › Integer Profiles › Node 3,589,824

3,589,824

26 × 3 × 7 × 2671
Abundant Even Composite

3,589,824 factors as 2^6 × 3 × 7 × 2671. Its 56 positive divisors give a proper-divisor sum of 7,269,184, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 2671
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 10,859,008
Proper Divisor Sum 7,269,184
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3589819 ← → #3589847

Radix Representation

Decimal 3589824
Binary 1101101100011011000000 (22 bits)
Octal 0o15543300
Hexadecimal 0x36C6C0

Divisor Catalog (56)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1,344 2,671 5,342 8,013 10,684 16,026 18,697 21,368 32,052 37,394 42,736 56,091 64,104 74,788 85,472 112,182 128,208 149,576 170,944 224,364 256,416 299,152 448,728 512,832 598,304 897,456 1,196,608 1,794,912 3,589,824

Collatz Trajectory (146 steps to reach 1)

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

3,589,824 1,794,912 897,456 448,728 224,364 112,182 56,091 168,274 84,137 252,412 126,206 63,103 189,310 94,655 283,966 141,983 425,950 212,975 638,926 319,463 958,390 479,195 1,437,586 718,793 2,156,380 1,078,190 539,095 1,617,286 808,643 2,425,930 1,212,965 3,638,896 1,819,448 909,724 454,862 227,431 682,294 341,147 1,023,442 511,721 1,535,164 767,582 383,791 1,151,374 575,687 1,727,062 863,531 2,590,594 1,295,297 3,885,892 1,942,946 971,473 2,914,420 1,457,210 728,605 2,185,816 1,092,908 546,454 273,227 819,682

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