λ
Zalai Atlas

8,742,415

5 × 11 × 23 × 6911
Deficient Odd Composite

8,742,415 has the prime decomposition 5 × 11 × 23 × 6911. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 23 × 6911
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,943,936
Proper Divisor Sum 3,201,521
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8742401 ← → #8742421

Radix Representation

Decimal 8742415
Binary 100001010110011000001111 (24 bits)
Octal 0o41263017
Hexadecimal 0x85660F

Divisor Catalog (16)

1 5 11 23 55 115 253 1,265 6,911 34,555 76,021 158,953 380,105 794,765 1,748,483 8,742,415

Collatz Trajectory (287 steps to reach 1)

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

8,742,415 26,227,246 13,113,623 39,340,870 19,670,435 59,011,306 29,505,653 88,516,960 44,258,480 22,129,240 11,064,620 5,532,310 2,766,155 8,298,466 4,149,233 12,447,700 6,223,850 3,111,925 9,335,776 4,667,888 2,333,944 1,166,972 583,486 291,743 875,230 437,615 1,312,846 656,423 1,969,270 984,635 2,953,906 1,476,953 4,430,860 2,215,430 1,107,715 3,323,146 1,661,573 4,984,720 2,492,360 1,246,180 623,090 311,545 934,636 467,318 233,659 700,978 350,489 1,051,468 525,734 262,867 788,602 394,301 1,182,904 591,452 295,726 147,863 443,590 221,795 665,386 332,693

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