λ
Harmonic Matrix

3,394,157

13 × 261089
Deficient Odd Composite

3,394,157 has digital root 5. The neighboring primes are 3394129 and 3394163; its proper-divisor sum differs from the starting integer by -3,133,054.

Prime Factor Structure

Factorization String 13 × 261089
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,655,260
Proper Divisor Sum 261,103
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3394129 ← → #3394163

Radix Representation

Decimal 3394157
Binary 1100111100101001101101 (22 bits)
Octal 0o14745155
Hexadecimal 0x33CA6D

Divisor Catalog (4)

1 13 261,089 3,394,157

Collatz Trajectory (252 steps to reach 1)

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

3,394,157 10,182,472 5,091,236 2,545,618 1,272,809 3,818,428 1,909,214 954,607 2,863,822 1,431,911 4,295,734 2,147,867 6,443,602 3,221,801 9,665,404 4,832,702 2,416,351 7,249,054 3,624,527 10,873,582 5,436,791 16,310,374 8,155,187 24,465,562 12,232,781 36,698,344 18,349,172 9,174,586 4,587,293 13,761,880 6,880,940 3,440,470 1,720,235 5,160,706 2,580,353 7,741,060 3,870,530 1,935,265 5,805,796 2,902,898 1,451,449 4,354,348 2,177,174 1,088,587 3,265,762 1,632,881 4,898,644 2,449,322 1,224,661 3,673,984 1,836,992 918,496 459,248 229,624 114,812 57,406 28,703 86,110 43,055 129,166

More profiles

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