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Atlas › Integer Profiles › Node 6,901,360

6,901,360

24 × 5 × 281 × 307
Abundant Even Composite

6,901,360 factors as 2^4 × 5 × 281 × 307. Its 40 positive divisors give a proper-divisor sum of 9,253,856, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 281 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,155,216
Proper Divisor Sum 9,253,856
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6901331 ← → #6901369

Radix Representation

Decimal 6901360
Binary 11010010100111001110000 (23 bits)
Octal 0o32247160
Hexadecimal 0x694E70

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 281 307 562 614 1,124 1,228 1,405 1,535 2,248 2,456 2,810 3,070 4,496 4,912 5,620 6,140 11,240 12,280 22,480 24,560 86,267 172,534 345,068 431,335 690,136 862,670 1,380,272 1,725,340 3,450,680 6,901,360

Collatz Trajectory (147 steps to reach 1)

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

6,901,360 3,450,680 1,725,340 862,670 431,335 1,294,006 647,003 1,941,010 970,505 2,911,516 1,455,758 727,879 2,183,638 1,091,819 3,275,458 1,637,729 4,913,188 2,456,594 1,228,297 3,684,892 1,842,446 921,223 2,763,670 1,381,835 4,145,506 2,072,753 6,218,260 3,109,130 1,554,565 4,663,696 2,331,848 1,165,924 582,962 291,481 874,444 437,222 218,611 655,834 327,917 983,752 491,876 245,938 122,969 368,908 184,454 92,227 276,682 138,341 415,024 207,512 103,756 51,878 25,939 77,818 38,909 116,728 58,364 29,182 14,591 43,774

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