7,682,902

2 × 37 × 47³

7,682,902 factors as 2 × 37 × 47^3. Its 16 positive divisors give a proper-divisor sum of 4,410,218, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 37 × 47^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,093,120

Proper Divisor Sum 4,410,218

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7682893 ← → #7682911

Radix Representation

Decimal	7682902
Binary	11101010011101101010110 (23 bits)
Octal	0o35235526
Hexadecimal	0x753B56

Divisor Catalog (16)

1 2 37 47 74 94 1,739 2,209 3,478 4,418 81,733 103,823 163,466 207,646 3,841,451 7,682,902

Collatz Trajectory (98 steps to reach 1)

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

7,682,902 3,841,451 11,524,354 5,762,177 17,286,532 8,643,266 4,321,633 12,964,900 6,482,450 3,241,225 9,723,676 4,861,838 2,430,919 7,292,758 3,646,379 10,939,138 5,469,569 16,408,708 8,204,354 4,102,177 12,306,532 6,153,266 3,076,633 9,229,900 4,614,950 2,307,475 6,922,426 3,461,213 10,383,640 5,191,820 2,595,910 1,297,955 3,893,866 1,946,933 5,840,800 2,920,400 1,460,200 730,100 365,050 182,525 547,576 273,788 136,894 68,447 205,342 102,671 308,014 154,007 462,022 231,011 693,034 346,517 1,039,552 519,776 259,888 129,944 64,972 32,486 16,243 48,730

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,682,901 Browse Full Index Next Integer #7,682,903 →