λ
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Atlas › Integer Profiles › Node 7,948,768

7,948,768

25 × 89 × 2791
Deficient Even Composite

7,948,768 factors as 2^5 × 89 × 2791. Its 24 positive divisors give a proper-divisor sum of 7,881,872, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^5 × 89 × 2791
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,830,640
Proper Divisor Sum 7,881,872
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #7948763 ← → #7948769

Radix Representation

Decimal 7948768
Binary 11110010100100111100000 (23 bits)
Octal 0o36244740
Hexadecimal 0x7949E0

Divisor Catalog (24)

1 2 4 8 16 32 89 178 356 712 1,424 2,791 2,848 5,582 11,164 22,328 44,656 89,312 248,399 496,798 993,596 1,987,192 3,974,384 7,948,768

Collatz Trajectory (142 steps to reach 1)

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

7,948,768 3,974,384 1,987,192 993,596 496,798 248,399 745,198 372,599 1,117,798 558,899 1,676,698 838,349 2,515,048 1,257,524 628,762 314,381 943,144 471,572 235,786 117,893 353,680 176,840 88,420 44,210 22,105 66,316 33,158 16,579 49,738 24,869 74,608 37,304 18,652 9,326 4,663 13,990 6,995 20,986 10,493 31,480 15,740 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402

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