7,376,013

3² × 827 × 991

For 7,376,013, the 12 positive divisors have a total of 10,677,888. Removing 7,376,013 leaves 3,301,875, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 827 × 991

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,677,888

Proper Divisor Sum 3,301,875

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7375999 ← → #7376021

Radix Representation

Decimal	7376013
Binary	11100001000110010001101 (23 bits)
Octal	0o34106215
Hexadecimal	0x708C8D

Divisor Catalog (12)

1 3 9 827 991 2,481 2,973 7,443 8,919 819,557 2,458,671 7,376,013

Collatz Trajectory (204 steps to reach 1)

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

7,376,013 22,128,040 11,064,020 5,532,010 2,766,005 8,298,016 4,149,008 2,074,504 1,037,252 518,626 259,313 777,940 388,970 194,485 583,456 291,728 145,864 72,932 36,466 18,233 54,700 27,350 13,675 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802

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