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Atlas › Integer Profiles › Node 6,616,120

6,616,120

23 × 5 × 7 × 23629
Abundant Even Composite

6,616,120 factors as 2^3 × 5 × 7 × 23629. Its 32 positive divisors give a proper-divisor sum of 10,397,480, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 23629
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,013,600
Proper Divisor Sum 10,397,480
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6616117 ← → #6616139

Radix Representation

Decimal 6616120
Binary 11001001111010000111000 (23 bits)
Octal 0o31172070
Hexadecimal 0x64F438

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 23,629 47,258 94,516 118,145 165,403 189,032 236,290 330,806 472,580 661,612 827,015 945,160 1,323,224 1,654,030 3,308,060 6,616,120

Collatz Trajectory (147 steps to reach 1)

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

6,616,120 3,308,060 1,654,030 827,015 2,481,046 1,240,523 3,721,570 1,860,785 5,582,356 2,791,178 1,395,589 4,186,768 2,093,384 1,046,692 523,346 261,673 785,020 392,510 196,255 588,766 294,383 883,150 441,575 1,324,726 662,363 1,987,090 993,545 2,980,636 1,490,318 745,159 2,235,478 1,117,739 3,353,218 1,676,609 5,029,828 2,514,914 1,257,457 3,772,372 1,886,186 943,093 2,829,280 1,414,640 707,320 353,660 176,830 88,415 265,246 132,623 397,870 198,935 596,806 298,403 895,210 447,605 1,342,816 671,408 335,704 167,852 83,926 41,963

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