274,003

41² × 163

274,003 factors as 41^2 × 163. Its 6 positive divisors give a proper-divisor sum of 8,569, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 41^2 × 163

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 282,572

Proper Divisor Sum 8,569

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #273997 ← → #274007

Radix Representation

Decimal	274003
Binary	1000010111001010011 (19 bits)
Octal	0o1027123
Hexadecimal	0x42E53

Divisor Catalog (6)

1 41 163 1,681 6,683 274,003

Collatz Trajectory (101 steps to reach 1)

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

274,003 822,010 411,005 1,233,016 616,508 308,254 154,127 462,382 231,191 693,574 346,787 1,040,362 520,181 1,560,544 780,272 390,136 195,068 97,534 48,767 146,302 73,151 219,454 109,727 329,182 164,591 493,774 246,887 740,662 370,331 1,110,994 555,497 1,666,492 833,246 416,623 1,249,870 624,935 1,874,806 937,403 2,812,210 1,406,105 4,218,316 2,109,158 1,054,579 3,163,738 1,581,869 4,745,608 2,372,804 1,186,402 593,201 1,779,604 889,802 444,901 1,334,704 667,352 333,676 166,838 83,419 250,258 125,129 375,388

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