λ
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8,214,745

5 × 7 × 11 × 19 × 1123
Deficient Odd Composite

8,214,745 factors as 5 × 7 × 11 × 19 × 1123. Its 32 positive divisors give a proper-divisor sum of 4,733,735, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 19 × 1123
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,948,480
Proper Divisor Sum 4,733,735
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8214737 ← → #8214769

Radix Representation

Decimal 8214745
Binary 11111010101100011011001 (23 bits)
Octal 0o37254331
Hexadecimal 0x7D58D9

Divisor Catalog (32)

1 5 7 11 19 35 55 77 95 133 209 385 665 1,045 1,123 1,463 5,615 7,315 7,861 12,353 21,337 39,305 61,765 86,471 106,685 149,359 234,707 432,355 746,795 1,173,535 1,642,949 8,214,745

Collatz Trajectory (80 steps to reach 1)

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

8,214,745 24,644,236 12,322,118 6,161,059 18,483,178 9,241,589 27,724,768 13,862,384 6,931,192 3,465,596 1,732,798 866,399 2,599,198 1,299,599 3,898,798 1,949,399 5,848,198 2,924,099 8,772,298 4,386,149 13,158,448 6,579,224 3,289,612 1,644,806 822,403 2,467,210 1,233,605 3,700,816 1,850,408 925,204 462,602 231,301 693,904 346,952 173,476 86,738 43,369 130,108 65,054 32,527 97,582 48,791 146,374 73,187 219,562 109,781 329,344 164,672 82,336 41,168 20,584 10,292 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448

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