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1,286,307

33 × 11 × 61 × 71
Deficient Odd Composite

1,286,307 factors as 3^3 × 11 × 61 × 71. Its 32 positive divisors give a proper-divisor sum of 856,413, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 61 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,142,720
Proper Divisor Sum 856,413
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1286303 ← → #1286323

Radix Representation

Decimal 1286307
Binary 100111010000010100011 (21 bits)
Octal 0o4720243
Hexadecimal 0x13A0A3

Divisor Catalog (32)

1 3 9 11 27 33 61 71 99 183 213 297 549 639 671 781 1,647 1,917 2,013 2,343 4,331 6,039 7,029 12,993 18,117 21,087 38,979 47,641 116,937 142,923 428,769 1,286,307

Collatz Trajectory (98 steps to reach 1)

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

1,286,307 3,858,922 1,929,461 5,788,384 2,894,192 1,447,096 723,548 361,774 180,887 542,662 271,331 813,994 406,997 1,220,992 610,496 305,248 152,624 76,312 38,156 19,078 9,539 28,618 14,309 42,928 21,464 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367

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