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Atlas › Integer Profiles › Node 3,547,740

3,547,740

22 × 3 × 5 × 7 × 8447
Abundant Even Composite

3,547,740 factors as 2^2 × 3 × 5 × 7 × 8447. Its 48 positive divisors give a proper-divisor sum of 7,806,372, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 8447
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,354,112
Proper Divisor Sum 7,806,372
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3547723 ← → #3547741

Radix Representation

Decimal 3547740
Binary 1101100010001001011100 (22 bits)
Octal 0o15421134
Hexadecimal 0x36225C

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 8,447 16,894 25,341 33,788 42,235 50,682 59,129 84,470 101,364 118,258 126,705 168,940 177,387 236,516 253,410 295,645 354,774 506,820 591,290 709,548 886,935 1,182,580 1,773,870 3,547,740

Collatz Trajectory (159 steps to reach 1)

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

3,547,740 1,773,870 886,935 2,660,806 1,330,403 3,991,210 1,995,605 5,986,816 2,993,408 1,496,704 748,352 374,176 187,088 93,544 46,772 23,386 11,693 35,080 17,540 8,770 4,385 13,156 6,578 3,289 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107

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