1,527,693

3 × 37 × 13763

1,527,693 factors as 3 × 37 × 13763. Its 8 positive divisors give a proper-divisor sum of 564,435, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 3 × 37 × 13763

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,092,128

Proper Divisor Sum 564,435

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1527689 ← → #1527703

Radix Representation

Decimal	1527693
Binary	101110100111110001101 (21 bits)
Octal	0o5647615
Hexadecimal	0x174F8D

Divisor Catalog (8)

1 3 37 111 13,763 41,289 509,231 1,527,693

Collatz Trajectory (150 steps to reach 1)

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

1,527,693 4,583,080 2,291,540 1,145,770 572,885 1,718,656 859,328 429,664 214,832 107,416 53,708 26,854 13,427 40,282 20,141 60,424 30,212 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274

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