6,209,840

2⁴ × 5 × 7 × 13 × 853

6,209,840 factors as 2^4 × 5 × 7 × 13 × 853. Its 80 positive divisors give a proper-divisor sum of 11,580,688, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 13 × 853

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 17,790,528

Proper Divisor Sum 11,580,688

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6209837 ← → #6209867

Radix Representation

Decimal	6209840
Binary	10111101100000100110000 (23 bits)
Octal	0o27540460
Hexadecimal	0x5EC130

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 853 910 1,040 1,456 1,706 1,820 3,412 3,640 4,265 5,971 6,824 7,280 8,530 11,089 11,942 13,648 17,060 22,178 23,884 29,855 34,120 44,356 47,768 55,445 59,710 68,240

Collatz Trajectory (77 steps to reach 1)

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

6,209,840 3,104,920 1,552,460 776,230 388,115 1,164,346 582,173 1,746,520 873,260 436,630 218,315 654,946 327,473 982,420 491,210 245,605 736,816 368,408 184,204 92,102 46,051 138,154 69,077 207,232 103,616 51,808 25,904 12,952 6,476 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

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