727,005

3 × 5 × 17 × 2851

727,005 factors as 3 × 5 × 17 × 2851. Its 16 positive divisors give a proper-divisor sum of 505,059, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 2851

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,232,064

Proper Divisor Sum 505,059

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #727003 ← → #727009

Radix Representation

Decimal	727005
Binary	10110001011111011101 (20 bits)
Octal	0o2613735
Hexadecimal	0xB17DD

Divisor Catalog (16)

1 3 5 15 17 51 85 255 2,851 8,553 14,255 42,765 48,467 145,401 242,335 727,005

Collatz Trajectory (149 steps to reach 1)

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

727,005 2,181,016 1,090,508 545,254 272,627 817,882 408,941 1,226,824 613,412 306,706 153,353 460,060 230,030 115,015 345,046 172,523 517,570 258,785 776,356 388,178 194,089 582,268 291,134 145,567 436,702 218,351 655,054 327,527 982,582 491,291 1,473,874 736,937 2,210,812 1,105,406 552,703 1,658,110 829,055 2,487,166 1,243,583 3,730,750 1,865,375 5,596,126 2,798,063 8,394,190 4,197,095 12,591,286 6,295,643 18,886,930 9,443,465 28,330,396 14,165,198 7,082,599 21,247,798 10,623,899 31,871,698 15,935,849 47,807,548 23,903,774 11,951,887 35,855,662

More profiles

8,252,826 8,502,310 2,770,143 111,759 1,569,501 7,221,650 8,249,997 2,726,697 2,297,050 7,018,308 592,600 2,452,721 228,026 6,491,695 2,980,010 3,009,700

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