λ
Harmonic Matrix

1,301,694

2 × 3 × 29 × 7481
Abundant Even Composite

1,301,694 has digital root 6. The neighboring primes are 1301693 and 1301701; its proper-divisor sum differs from the starting integer by 90,132.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 7481
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,693,520
Proper Divisor Sum 1,391,826
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1301693 ← → #1301701

Radix Representation

Decimal 1301694
Binary 100111101110010111110 (21 bits)
Octal 0o4756276
Hexadecimal 0x13DCBE

Divisor Catalog (16)

1 2 3 6 29 58 87 174 7,481 14,962 22,443 44,886 216,949 433,898 650,847 1,301,694

Collatz Trajectory (173 steps to reach 1)

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

1,301,694 650,847 1,952,542 976,271 2,928,814 1,464,407 4,393,222 2,196,611 6,589,834 3,294,917 9,884,752 4,942,376 2,471,188 1,235,594 617,797 1,853,392 926,696 463,348 231,674 115,837 347,512 173,756 86,878 43,439 130,318 65,159 195,478 97,739 293,218 146,609 439,828 219,914 109,957 329,872 164,936 82,468 41,234 20,617 61,852 30,926 15,463 46,390 23,195 69,586 34,793 104,380 52,190 26,095 78,286 39,143 117,430 58,715 176,146 88,073 264,220 132,110 66,055 198,166 99,083 297,250

More profiles

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