465,825

3 × 5² × 6211

465,825 factors as 3 × 5^2 × 6211. Its 12 positive divisors give a proper-divisor sum of 304,463, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 6211

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 770,288

Proper Divisor Sum 304,463

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #465821 ← → #465833

Radix Representation

Decimal	465825
Binary	1110001101110100001 (19 bits)
Octal	0o1615641
Hexadecimal	0x71BA1

Divisor Catalog (12)

1 3 5 15 25 75 6,211 18,633 31,055 93,165 155,275 465,825

Collatz Trajectory (138 steps to reach 1)

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

465,825 1,397,476 698,738 349,369 1,048,108 524,054 262,027 786,082 393,041 1,179,124 589,562 294,781 884,344 442,172 221,086 110,543 331,630 165,815 497,446 248,723 746,170 373,085 1,119,256 559,628 279,814 139,907 419,722 209,861 629,584 314,792 157,396 78,698 39,349 118,048 59,024 29,512 14,756 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738

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