λ
Harmonic Matrix

6,952,646

2 × 53 × 107 × 613
Deficient Even Composite

6,952,646 has digital root 2. The neighboring primes are 6952639 and 6952667; its proper-divisor sum differs from the starting integer by -3,162,748.

Prime Factor Structure

Factorization String 2 × 53 × 107 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,742,544
Proper Divisor Sum 3,789,898
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6952639 ← → #6952667

Radix Representation

Decimal 6952646
Binary 11010100001011011000110 (23 bits)
Octal 0o32413306
Hexadecimal 0x6A16C6

Divisor Catalog (16)

1 2 53 106 107 214 613 1,226 5,671 11,342 32,489 64,978 65,591 131,182 3,476,323 6,952,646

Collatz Trajectory (46 steps to reach 1)

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

6,952,646 3,476,323 10,428,970 5,214,485 15,643,456 7,821,728 3,910,864 1,955,432 977,716 488,858 244,429 733,288 366,644 183,322 91,661 274,984 137,492 68,746 34,373 103,120 51,560 25,780 12,890 6,445 19,336 9,668 4,834 2,417 7,252 3,626 1,813 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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