λ
Harmonic Matrix

3,380,896

25 × 105653
Deficient Even Composite

3,380,896 has digital root 1. The neighboring primes are 3380893 and 3380929; its proper-divisor sum differs from the starting integer by -105,590.

Prime Factor Structure

Factorization String 2^5 × 105653
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,656,202
Proper Divisor Sum 3,275,306
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3380893 ← → #3380929

Radix Representation

Decimal 3380896
Binary 1100111001011010100000 (22 bits)
Octal 0o14713240
Hexadecimal 0x3396A0

Divisor Catalog (12)

1 2 4 8 16 32 105,653 211,306 422,612 845,224 1,690,448 3,380,896

Collatz Trajectory (53 steps to reach 1)

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

3,380,896 1,690,448 845,224 422,612 211,306 105,653 316,960 158,480 79,240 39,620 19,810 9,905 29,716 14,858 7,429 22,288 11,144 5,572 2,786 1,393 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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