λ
Match Zalai

8,787,813

3 × 73 × 40127
Deficient Odd Composite

8,787,813 factors as 3 × 73 × 40127. Its 8 positive divisors give a proper-divisor sum of 3,090,075, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 3 × 73 × 40127
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,877,888
Proper Divisor Sum 3,090,075
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8787811 ← → #8787829

Radix Representation

Decimal 8787813
Binary 100001100001011101100101 (24 bits)
Octal 0o41413545
Hexadecimal 0x861765

Divisor Catalog (8)

1 3 73 219 40,127 120,381 2,929,271 8,787,813

Collatz Trajectory (62 steps to reach 1)

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

8,787,813 26,363,440 13,181,720 6,590,860 3,295,430 1,647,715 4,943,146 2,471,573 7,414,720 3,707,360 1,853,680 926,840 463,420 231,710 115,855 347,566 173,783 521,350 260,675 782,026 391,013 1,173,040 586,520 293,260 146,630 73,315 219,946 109,973 329,920 164,960 82,480 41,240 20,620 10,310 5,155 15,466 7,733 23,200 11,600 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8

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