λ
Harmonic Matrix

8,371,735

5 × 17 × 98491
Deficient Odd Composite

8,371,735 has digital root 7. The neighboring primes are 8371733 and 8371739; its proper-divisor sum differs from the starting integer by -6,106,334.

Prime Factor Structure

Factorization String 5 × 17 × 98491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,637,136
Proper Divisor Sum 2,265,401
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8371733 ← → #8371739

Radix Representation

Decimal 8371735
Binary 11111111011111000010111 (23 bits)
Octal 0o37737027
Hexadecimal 0x7FBE17

Divisor Catalog (8)

1 5 17 85 98,491 492,455 1,674,347 8,371,735

Collatz Trajectory (106 steps to reach 1)

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

8,371,735 25,115,206 12,557,603 37,672,810 18,836,405 56,509,216 28,254,608 14,127,304 7,063,652 3,531,826 1,765,913 5,297,740 2,648,870 1,324,435 3,973,306 1,986,653 5,959,960 2,979,980 1,489,990 744,995 2,234,986 1,117,493 3,352,480 1,676,240 838,120 419,060 209,530 104,765 314,296 157,148 78,574 39,287 117,862 58,931 176,794 88,397 265,192 132,596 66,298 33,149 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851

More profiles

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