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Atlas › Integer Profiles › Node 7,828,755

7,828,755

3 × 5 × 11 × 17 × 2791
Deficient Odd Composite

7,828,755 factors as 3 × 5 × 11 × 17 × 2791. Its 32 positive divisors give a proper-divisor sum of 6,644,973, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 17 × 2791
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,473,728
Proper Divisor Sum 6,644,973
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7828747 ← → #7828781

Radix Representation

Decimal 7828755
Binary 11101110111010100010011 (23 bits)
Octal 0o35672423
Hexadecimal 0x777513

Divisor Catalog (32)

1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2,791 2,805 8,373 13,955 30,701 41,865 47,447 92,103 142,341 153,505 237,235 460,515 521,917 711,705 1,565,751 2,609,585 7,828,755

Collatz Trajectory (93 steps to reach 1)

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

7,828,755 23,486,266 11,743,133 35,229,400 17,614,700 8,807,350 4,403,675 13,211,026 6,605,513 19,816,540 9,908,270 4,954,135 14,862,406 7,431,203 22,293,610 11,146,805 33,440,416 16,720,208 8,360,104 4,180,052 2,090,026 1,045,013 3,135,040 1,567,520 783,760 391,880 195,940 97,970 48,985 146,956 73,478 36,739 110,218 55,109 165,328 82,664 41,332 20,666 10,333 31,000 15,500 7,750 3,875 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384

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