λ
Math Directory

1,563,396

22 × 3 × 19 × 6857
Abundant Even Composite

1,563,396 factors as 2^2 × 3 × 19 × 6857. Its 24 positive divisors give a proper-divisor sum of 2,277,084, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 6857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,840,480
Proper Divisor Sum 2,277,084
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1563389 ← → #1563407

Radix Representation

Decimal 1563396
Binary 101111101101100000100 (21 bits)
Octal 0o5755404
Hexadecimal 0x17DB04

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 6,857 13,714 20,571 27,428 41,142 82,284 130,283 260,566 390,849 521,132 781,698 1,563,396

Collatz Trajectory (163 steps to reach 1)

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

1,563,396 781,698 390,849 1,172,548 586,274 293,137 879,412 439,706 219,853 659,560 329,780 164,890 82,445 247,336 123,668 61,834 30,917 92,752 46,376 23,188 11,594 5,797 17,392 8,696 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47

More profiles

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