λ
Harmonic Matrix

8,354,787

3 × 7 × 131 × 3037
Deficient Odd Composite

8,354,787 has digital root 6. The neighboring primes are 8354729 and 8354789; its proper-divisor sum differs from the starting integer by -3,877,062.

Prime Factor Structure

Factorization String 3 × 7 × 131 × 3037
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,832,512
Proper Divisor Sum 4,477,725
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8354729 ← → #8354789

Radix Representation

Decimal 8354787
Binary 11111110111101111100011 (23 bits)
Octal 0o37675743
Hexadecimal 0x7F7BE3

Divisor Catalog (16)

1 3 7 21 131 393 917 2,751 3,037 9,111 21,259 63,777 397,847 1,193,541 2,784,929 8,354,787

Collatz Trajectory (111 steps to reach 1)

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

8,354,787 25,064,362 12,532,181 37,596,544 18,798,272 9,399,136 4,699,568 2,349,784 1,174,892 587,446 293,723 881,170 440,585 1,321,756 660,878 330,439 991,318 495,659 1,486,978 743,489 2,230,468 1,115,234 557,617 1,672,852 836,426 418,213 1,254,640 627,320 313,660 156,830 78,415 235,246 117,623 352,870 176,435 529,306 264,653 793,960 396,980 198,490 99,245 297,736 148,868 74,434 37,217 111,652 55,826 27,913 83,740 41,870 20,935 62,806 31,403 94,210 47,105 141,316 70,658 35,329 105,988 52,994

More profiles

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