827,742

2 × 3 × 137957

827,742 is even and not a perfect square. Its factorization is 2 × 3 × 137957 and its 8 divisors sum to 1,655,496.

Prime Factor Structure

Factorization String 2 × 3 × 137957

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,655,496

Proper Divisor Sum 827,754

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #827741 ← → #827767

Radix Representation

Decimal	827742
Binary	11001010000101011110 (20 bits)
Octal	0o3120536
Hexadecimal	0xCA15E

Divisor Catalog (8)

1 2 3 6 137,957 275,914 413,871 827,742

Collatz Trajectory (144 steps to reach 1)

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

827,742 413,871 1,241,614 620,807 1,862,422 931,211 2,793,634 1,396,817 4,190,452 2,095,226 1,047,613 3,142,840 1,571,420 785,710 392,855 1,178,566 589,283 1,767,850 883,925 2,651,776 1,325,888 662,944 331,472 165,736 82,868 41,434 20,717 62,152 31,076 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255

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