651,027

3 × 13 × 16693

651,027 factors as 3 × 13 × 16693. Its 8 positive divisors give a proper-divisor sum of 283,837, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3 × 13 × 16693

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 934,864

Proper Divisor Sum 283,837

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #651019 ← → #651029

Radix Representation

Decimal	651027
Binary	10011110111100010011 (20 bits)
Octal	0o2367423
Hexadecimal	0x9EF13

Divisor Catalog (8)

1 3 13 39 16,693 50,079 217,009 651,027

Collatz Trajectory (123 steps to reach 1)

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

651,027 1,953,082 976,541 2,929,624 1,464,812 732,406 366,203 1,098,610 549,305 1,647,916 823,958 411,979 1,235,938 617,969 1,853,908 926,954 463,477 1,390,432 695,216 347,608 173,804 86,902 43,451 130,354 65,177 195,532 97,766 48,883 146,650 73,325 219,976 109,988 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779

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