λ
Harmonic Matrix

8,717,702

2 × 7 × 17 × 36629
Deficient Even Composite

8,717,702 has digital root 5. The neighboring primes are 8717689 and 8717717; its proper-divisor sum differs from the starting integer by -1,611,244.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 36629
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,824,160
Proper Divisor Sum 7,106,458
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8717689 ← → #8717717

Radix Representation

Decimal 8717702
Binary 100001010000010110000110 (24 bits)
Octal 0o41202606
Hexadecimal 0x850586

Divisor Catalog (16)

1 2 7 14 17 34 119 238 36,629 73,258 256,403 512,806 622,693 1,245,386 4,358,851 8,717,702

Collatz Trajectory (67 steps to reach 1)

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

8,717,702 4,358,851 13,076,554 6,538,277 19,614,832 9,807,416 4,903,708 2,451,854 1,225,927 3,677,782 1,838,891 5,516,674 2,758,337 8,275,012 4,137,506 2,068,753 6,206,260 3,103,130 1,551,565 4,654,696 2,327,348 1,163,674 581,837 1,745,512 872,756 436,378 218,189 654,568 327,284 163,642 81,821 245,464 122,732 61,366 30,683 92,050 46,025 138,076 69,038 34,519 103,558 51,779 155,338 77,669 233,008 116,504 58,252 29,126 14,563 43,690 21,845 65,536 32,768 16,384 8,192 4,096 2,048 1,024 512 256

More profiles

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