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Atlas › Integer Profiles › Node 3,606,504

3,606,504

23 × 3 × 11 × 19 × 719
Abundant Even Composite

3,606,504 factors as 2^3 × 3 × 11 × 19 × 719. Its 64 positive divisors give a proper-divisor sum of 6,761,496, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 19 × 719
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,368,000
Proper Divisor Sum 6,761,496
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3606497 ← → #3606511

Radix Representation

Decimal 3606504
Binary 1101110000011111101000 (22 bits)
Octal 0o15603750
Hexadecimal 0x3707E8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 719 836 1,254 1,438 1,672 2,157 2,508 2,876 4,314 5,016 5,752 7,909 8,628 13,661 15,818 17,256 23,727 27,322 31,636 40,983 47,454 54,644 63,272 81,966 94,908 109,288 150,271 163,932 189,816 300,542 327,864 450,813 601,084

Collatz Trajectory (141 steps to reach 1)

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

3,606,504 1,803,252 901,626 450,813 1,352,440 676,220 338,110 169,055 507,166 253,583 760,750 380,375 1,141,126 570,563 1,711,690 855,845 2,567,536 1,283,768 641,884 320,942 160,471 481,414 240,707 722,122 361,061 1,083,184 541,592 270,796 135,398 67,699 203,098 101,549 304,648 152,324 76,162 38,081 114,244 57,122 28,561 85,684 42,842 21,421 64,264 32,132 16,066 8,033 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882

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