λ
Harmonic Matrix

347,043

3 × 29 × 3989
Deficient Odd Composite

347,043 has digital root 3. The neighboring primes are 347041 and 347051; its proper-divisor sum differs from the starting integer by -215,286.

Prime Factor Structure

Factorization String 3 × 29 × 3989
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 478,800
Proper Divisor Sum 131,757
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #347041 ← → #347051

Radix Representation

Decimal 347043
Binary 1010100101110100011 (19 bits)
Octal 0o1245643
Hexadecimal 0x54BA3

Divisor Catalog (8)

1 3 29 87 3,989 11,967 115,681 347,043

Collatz Trajectory (135 steps to reach 1)

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

347,043 1,041,130 520,565 1,561,696 780,848 390,424 195,212 97,606 48,803 146,410 73,205 219,616 109,808 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211

More profiles

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