λ
Harmonic Matrix

346,740

22 × 3 × 5 × 5779
Abundant Even Composite

346,740 has digital root 6. The neighboring primes are 346739 and 346751; its proper-divisor sum differs from the starting integer by 277,560.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 5779
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 971,040
Proper Divisor Sum 624,300
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #346739 ← → #346751

Radix Representation

Decimal 346740
Binary 1010100101001110100 (19 bits)
Octal 0o1245164
Hexadecimal 0x54A74

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 5,779 11,558 17,337 23,116 28,895 34,674 57,790 69,348 86,685 115,580 173,370 346,740

Collatz Trajectory (158 steps to reach 1)

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

346,740 173,370 86,685 260,056 130,028 65,014 32,507 97,522 48,761 146,284 73,142 36,571 109,714 54,857 164,572 82,286 41,143 123,430 61,715 185,146 92,573 277,720 138,860 69,430 34,715 104,146 52,073 156,220 78,110 39,055 117,166 58,583 175,750 87,875 263,626 131,813 395,440 197,720 98,860 49,430 24,715 74,146 37,073 111,220 55,610 27,805 83,416 41,708 20,854 10,427 31,282 15,641 46,924 23,462 11,731 35,194 17,597 52,792 26,396 13,198

More profiles

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