1,527,742

2 × 31 × 41 × 601

1,527,742 has the prime decomposition 2 × 31 × 41 × 601. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 41 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,427,264

Proper Divisor Sum 899,522

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1527737 ← → #1527761

Radix Representation

Decimal	1527742
Binary	101110100111110111110 (21 bits)
Octal	0o5647676
Hexadecimal	0x174FBE

Divisor Catalog (16)

1 2 31 41 62 82 601 1,202 1,271 2,542 18,631 24,641 37,262 49,282 763,871 1,527,742

Collatz Trajectory (106 steps to reach 1)

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

1,527,742 763,871 2,291,614 1,145,807 3,437,422 1,718,711 5,156,134 2,578,067 7,734,202 3,867,101 11,601,304 5,800,652 2,900,326 1,450,163 4,350,490 2,175,245 6,525,736 3,262,868 1,631,434 815,717 2,447,152 1,223,576 611,788 305,894 152,947 458,842 229,421 688,264 344,132 172,066 86,033 258,100 129,050 64,525 193,576 96,788 48,394 24,197 72,592 36,296 18,148 9,074 4,537 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618

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