247,755

3 × 5 × 83 × 199

247,755 factors as 3 × 5 × 83 × 199. Its 16 positive divisors give a proper-divisor sum of 155,445, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 3 × 5 × 83 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 403,200

Proper Divisor Sum 155,445

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #247739 ← → #247759

Radix Representation

Decimal	247755
Binary	111100011111001011 (18 bits)
Octal	0o743713
Hexadecimal	0x3C7CB

Divisor Catalog (16)

1 3 5 15 83 199 249 415 597 995 1,245 2,985 16,517 49,551 82,585 247,755

Collatz Trajectory (62 steps to reach 1)

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

247,755 743,266 371,633 1,114,900 557,450 278,725 836,176 418,088 209,044 104,522 52,261 156,784 78,392 39,196 19,598 9,799 29,398 14,699 44,098 22,049 66,148 33,074 16,537 49,612 24,806 12,403 37,210 18,605 55,816 27,908 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8

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