496,845

3² × 5 × 61 × 181

496,845 factors as 3^2 × 5 × 61 × 181. Its 24 positive divisors give a proper-divisor sum of 383,307, so this integer is deficient. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 61 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 880,152

Proper Divisor Sum 383,307

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #496841 ← → #496849

Radix Representation

Decimal	496845
Binary	1111001010011001101 (19 bits)
Octal	0o1712315
Hexadecimal	0x794CD

Divisor Catalog (24)

1 3 5 9 15 45 61 181 183 305 543 549 905 915 1,629 2,715 2,745 8,145 11,041 33,123 55,205 99,369 165,615 496,845

Collatz Trajectory (63 steps to reach 1)

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

496,845 1,490,536 745,268 372,634 186,317 558,952 279,476 139,738 69,869 209,608 104,804 52,402 26,201 78,604 39,302 19,651 58,954 29,477 88,432 44,216 22,108 11,054 5,527 16,582 8,291 24,874 12,437 37,312 18,656 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16

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