280,275

3 × 5² × 37 × 101

280,275 factors as 3 × 5^2 × 37 × 101. Its 24 positive divisors give a proper-divisor sum of 200,349, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 37 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 480,624

Proper Divisor Sum 200,349

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #280253 ← → #280277

Radix Representation

Decimal	280275
Binary	1000100011011010011 (19 bits)
Octal	0o1043323
Hexadecimal	0x446D3

Divisor Catalog (24)

1 3 5 15 25 37 75 101 111 185 303 505 555 925 1,515 2,525 2,775 3,737 7,575 11,211 18,685 56,055 93,425 280,275

Collatz Trajectory (207 steps to reach 1)

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

280,275 840,826 420,413 1,261,240 630,620 315,310 157,655 472,966 236,483 709,450 354,725 1,064,176 532,088 266,044 133,022 66,511 199,534 99,767 299,302 149,651 448,954 224,477 673,432 336,716 168,358 84,179 252,538 126,269 378,808 189,404 94,702 47,351 142,054 71,027 213,082 106,541 319,624 159,812 79,906 39,953 119,860 59,930 29,965 89,896 44,948 22,474 11,237 33,712 16,856 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672

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