465,275

5² × 37 × 503

465,275 factors as 5^2 × 37 × 503. Its 12 positive divisors give a proper-divisor sum of 128,437, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 5^2 × 37 × 503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 593,712

Proper Divisor Sum 128,437

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #465271 ← → #465277

Radix Representation

Decimal	465275
Binary	1110001100101111011 (19 bits)
Octal	0o1614573
Hexadecimal	0x7197B

Divisor Catalog (12)

1 5 25 37 185 503 925 2,515 12,575 18,611 93,055 465,275

Collatz Trajectory (107 steps to reach 1)

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

465,275 1,395,826 697,913 2,093,740 1,046,870 523,435 1,570,306 785,153 2,355,460 1,177,730 588,865 1,766,596 883,298 441,649 1,324,948 662,474 331,237 993,712 496,856 248,428 124,214 62,107 186,322 93,161 279,484 139,742 69,871 209,614 104,807 314,422 157,211 471,634 235,817 707,452 353,726 176,863 530,590 265,295 795,886 397,943 1,193,830 596,915 1,790,746 895,373 2,686,120 1,343,060 671,530 335,765 1,007,296 503,648 251,824 125,912 62,956 31,478 15,739 47,218 23,609 70,828 35,414 17,707

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