λ
Harmonic Matrix

3,432,794

2 × 1716397
Deficient Even Composite

3,432,794 has digital root 5. The neighboring primes are 3432763 and 3432799; its proper-divisor sum differs from the starting integer by -1,716,394.

Prime Factor Structure

Factorization String 2 × 1716397
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,149,194
Proper Divisor Sum 1,716,400
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3432763 ← → #3432799

Radix Representation

Decimal 3432794
Binary 1101000110000101011010 (22 bits)
Octal 0o15060532
Hexadecimal 0x34615A

Divisor Catalog (4)

1 2 1,716,397 3,432,794

Collatz Trajectory (128 steps to reach 1)

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

3,432,794 1,716,397 5,149,192 2,574,596 1,287,298 643,649 1,930,948 965,474 482,737 1,448,212 724,106 362,053 1,086,160 543,080 271,540 135,770 67,885 203,656 101,828 50,914 25,457 76,372 38,186 19,093 57,280 28,640 14,320 7,160 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635

More profiles

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