401,775

3 × 5² × 11 × 487

401,775 factors as 3 × 5^2 × 11 × 487. Its 24 positive divisors give a proper-divisor sum of 324,369, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 487

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 726,144

Proper Divisor Sum 324,369

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #401773 ← → #401809

Radix Representation

Decimal	401775
Binary	1100010000101101111 (19 bits)
Octal	0o1420557
Hexadecimal	0x6216F

Divisor Catalog (24)

1 3 5 11 15 25 33 55 75 165 275 487 825 1,461 2,435 5,357 7,305 12,175 16,071 26,785 36,525 80,355 133,925 401,775

Collatz Trajectory (91 steps to reach 1)

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

401,775 1,205,326 602,663 1,807,990 903,995 2,711,986 1,355,993 4,067,980 2,033,990 1,016,995 3,050,986 1,525,493 4,576,480 2,288,240 1,144,120 572,060 286,030 143,015 429,046 214,523 643,570 321,785 965,356 482,678 241,339 724,018 362,009 1,086,028 543,014 271,507 814,522 407,261 1,221,784 610,892 305,446 152,723 458,170 229,085 687,256 343,628 171,814 85,907 257,722 128,861 386,584 193,292 96,646 48,323 144,970 72,485 217,456 108,728 54,364 27,182 13,591 40,774 20,387 61,162 30,581 91,744

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