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Atlas › Integer Profiles › Node 7,383,640

7,383,640

23 × 5 × 11 × 97 × 173
Abundant Even Composite

7,383,640 factors as 2^3 × 5 × 11 × 97 × 173. Its 64 positive divisors give a proper-divisor sum of 11,032,520, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 97 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,416,160
Proper Divisor Sum 11,032,520
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7383637 ← → #7383641

Radix Representation

Decimal 7383640
Binary 11100001010101001011000 (23 bits)
Octal 0o34125130
Hexadecimal 0x70AA58

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 173 194 220 346 388 440 485 692 776 865 970 1,067 1,384 1,730 1,903 1,940 2,134 3,460 3,806 3,880 4,268 5,335 6,920 7,612 8,536 9,515 10,670 15,224 16,781 19,030 21,340 33,562 38,060 42,680 67,124 76,120 83,905 134,248 167,810 184,591 335,620 369,182 671,240 738,364 922,955

Collatz Trajectory (165 steps to reach 1)

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

7,383,640 3,691,820 1,845,910 922,955 2,768,866 1,384,433 4,153,300 2,076,650 1,038,325 3,114,976 1,557,488 778,744 389,372 194,686 97,343 292,030 146,015 438,046 219,023 657,070 328,535 985,606 492,803 1,478,410 739,205 2,217,616 1,108,808 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512 526,256 263,128 131,564 65,782 32,891 98,674 49,337 148,012 74,006 37,003 111,010 55,505 166,516 83,258 41,629 124,888 62,444 31,222 15,611 46,834

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