5,828,775

3 × 5² × 23 × 31 × 109

5,828,775 has digital root 6. The neighboring primes are 5828761 and 5828789; its proper-divisor sum differs from the starting integer by -1,182,030.

Prime Factor Structure

Factorization String 3 × 5^2 × 23 × 31 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,475,520

Proper Divisor Sum 4,646,745

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #5828761 ← → #5828789

Radix Representation

Decimal	5828775
Binary	10110001111000010100111 (23 bits)
Octal	0o26170247
Hexadecimal	0x58F0A7

Divisor Catalog (48)

1 3 5 15 23 25 31 69 75 93 109 115 155 327 345 465 545 575 713 775 1,635 1,725 2,139 2,325 2,507 2,725 3,379 3,565 7,521 8,175 10,137 10,695 12,535 16,895 17,825 37,605 50,685 53,475 62,675 77,717 84,475 188,025 233,151 253,425 388,585 1,165,755 1,942,925 5,828,775

Collatz Trajectory (152 steps to reach 1)

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

5,828,775 17,486,326 8,743,163 26,229,490 13,114,745 39,344,236 19,672,118 9,836,059 29,508,178 14,754,089 44,262,268 22,131,134 11,065,567 33,196,702 16,598,351 49,795,054 24,897,527 74,692,582 37,346,291 112,038,874 56,019,437 168,058,312 84,029,156 42,014,578 21,007,289 63,021,868 31,510,934 15,755,467 47,266,402 23,633,201 70,899,604 35,449,802 17,724,901 53,174,704 26,587,352 13,293,676 6,646,838 3,323,419 9,970,258 4,985,129 14,955,388 7,477,694 3,738,847 11,216,542 5,608,271 16,824,814 8,412,407 25,237,222 12,618,611 37,855,834 18,927,917 56,783,752 28,391,876 14,195,938 7,097,969 21,293,908 10,646,954 5,323,477 15,970,432 7,985,216

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