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Atlas › Integer Profiles › Node 3,580,746

3,580,746

2 × 3 × 13 × 29 × 1583
Abundant Even Composite

3,580,746 factors as 2 × 3 × 13 × 29 × 1583. Its 32 positive divisors give a proper-divisor sum of 4,402,614, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 29 × 1583
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,983,360
Proper Divisor Sum 4,402,614
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3580697 ← → #3580747

Radix Representation

Decimal 3580746
Binary 1101101010001101001010 (22 bits)
Octal 0o15521512
Hexadecimal 0x36A34A

Divisor Catalog (32)

1 2 3 6 13 26 29 39 58 78 87 174 377 754 1,131 1,583 2,262 3,166 4,749 9,498 20,579 41,158 45,907 61,737 91,814 123,474 137,721 275,442 596,791 1,193,582 1,790,373 3,580,746

Collatz Trajectory (190 steps to reach 1)

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

3,580,746 1,790,373 5,371,120 2,685,560 1,342,780 671,390 335,695 1,007,086 503,543 1,510,630 755,315 2,265,946 1,132,973 3,398,920 1,699,460 849,730 424,865 1,274,596 637,298 318,649 955,948 477,974 238,987 716,962 358,481 1,075,444 537,722 268,861 806,584 403,292 201,646 100,823 302,470 151,235 453,706 226,853 680,560 340,280 170,140 85,070 42,535 127,606 63,803 191,410 95,705 287,116 143,558 71,779 215,338 107,669 323,008 161,504 80,752 40,376 20,188 10,094 5,047 15,142 7,571 22,714

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