727,237

7 × 23 × 4517

727,237 factors as 7 × 23 × 4517. Its 8 positive divisors give a proper-divisor sum of 140,219, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 7 × 23 × 4517

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 867,456

Proper Divisor Sum 140,219

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #727211 ← → #727241

Radix Representation

Decimal	727237
Binary	10110001100011000101 (20 bits)
Octal	0o2614305
Hexadecimal	0xB18C5

Divisor Catalog (8)

1 7 23 161 4,517 31,619 103,891 727,237

Collatz Trajectory (211 steps to reach 1)

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

727,237 2,181,712 1,090,856 545,428 272,714 136,357 409,072 204,536 102,268 51,134 25,567 76,702 38,351 115,054 57,527 172,582 86,291 258,874 129,437 388,312 194,156 97,078 48,539 145,618 72,809 218,428 109,214 54,607 163,822 81,911 245,734 122,867 368,602 184,301 552,904 276,452 138,226 69,113 207,340 103,670 51,835 155,506 77,753 233,260 116,630 58,315 174,946 87,473 262,420 131,210 65,605 196,816 98,408 49,204 24,602 12,301 36,904 18,452 9,226 4,613

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