λ
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Atlas › Integer Profiles › Node 275,502

275,502

2 × 3 × 17 × 37 × 73
Abundant Even Composite

275,502 factors as 2 × 3 × 17 × 37 × 73. Its 32 positive divisors give a proper-divisor sum of 331,890, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 37 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 607,392
Proper Divisor Sum 331,890
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #275491 ← → #275503

Radix Representation

Decimal 275502
Binary 1000011010000101110 (19 bits)
Octal 0o1032056
Hexadecimal 0x4342E

Divisor Catalog (32)

1 2 3 6 17 34 37 51 73 74 102 111 146 219 222 438 629 1,241 1,258 1,887 2,482 2,701 3,723 3,774 5,402 7,446 8,103 16,206 45,917 91,834 137,751 275,502

Collatz Trajectory (70 steps to reach 1)

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

275,502 137,751 413,254 206,627 619,882 309,941 929,824 464,912 232,456 116,228 58,114 29,057 87,172 43,586 21,793 65,380 32,690 16,345 49,036 24,518 12,259 36,778 18,389 55,168 27,584 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52

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