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Atlas › Integer Profiles › Node 6,736,720

6,736,720

24 × 5 × 107 × 787
Abundant Even Composite

6,736,720 factors as 2^4 × 5 × 107 × 787. Its 40 positive divisors give a proper-divisor sum of 9,092,624, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 107 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,829,344
Proper Divisor Sum 9,092,624
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6736687 ← → #6736727

Radix Representation

Decimal 6736720
Binary 11001101100101101010000 (23 bits)
Octal 0o31545520
Hexadecimal 0x66CB50

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 107 214 428 535 787 856 1,070 1,574 1,712 2,140 3,148 3,935 4,280 6,296 7,870 8,560 12,592 15,740 31,480 62,960 84,209 168,418 336,836 421,045 673,672 842,090 1,347,344 1,684,180 3,368,360 6,736,720

Collatz Trajectory (85 steps to reach 1)

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

6,736,720 3,368,360 1,684,180 842,090 421,045 1,263,136 631,568 315,784 157,892 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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