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Atlas › Integer Profiles › Node 7,967,950

7,967,950

2 × 52 × 37 × 59 × 73
Deficient Even Composite

7,967,950 factors as 2 × 5^2 × 37 × 59 × 73. Its 48 positive divisors give a proper-divisor sum of 7,723,010, so this integer is deficient. The Collatz stopping time is 292 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 37 × 59 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,690,960
Proper Divisor Sum 7,723,010
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7967941 ← → #7967963

Radix Representation

Decimal 7967950
Binary 11110011001010011001110 (23 bits)
Octal 0o36312316
Hexadecimal 0x7994CE

Divisor Catalog (48)

1 2 5 10 25 37 50 59 73 74 118 146 185 295 365 370 590 730 925 1,475 1,825 1,850 2,183 2,701 2,950 3,650 4,307 4,366 5,402 8,614 10,915 13,505 21,535 21,830 27,010 43,070 54,575 67,525 107,675 109,150 135,050 159,359 215,350 318,718 796,795 1,593,590 3,983,975 7,967,950

Collatz Trajectory (292 steps to reach 1)

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

7,967,950 3,983,975 11,951,926 5,975,963 17,927,890 8,963,945 26,891,836 13,445,918 6,722,959 20,168,878 10,084,439 30,253,318 15,126,659 45,379,978 22,689,989 68,069,968 34,034,984 17,017,492 8,508,746 4,254,373 12,763,120 6,381,560 3,190,780 1,595,390 797,695 2,393,086 1,196,543 3,589,630 1,794,815 5,384,446 2,692,223 8,076,670 4,038,335 12,115,006 6,057,503 18,172,510 9,086,255 27,258,766 13,629,383 40,888,150 20,444,075 61,332,226 30,666,113 91,998,340 45,999,170 22,999,585 68,998,756 34,499,378 17,249,689 51,749,068 25,874,534 12,937,267 38,811,802 19,405,901 58,217,704 29,108,852 14,554,426 7,277,213 21,831,640 10,915,820

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