λ
Harmonic Matrix

3,314,039

3314039
Deficient Odd Prime

3,314,039 has digital root 5. The neighboring primes are 3314029 and 3314119; its proper-divisor sum differs from the starting integer by -3,314,038.

Prime Factor Structure

Factorization String 3314039
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,314,040
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3314029 ← → #3314119

Radix Representation

Decimal 3314039
Binary 1100101001000101110111 (22 bits)
Octal 0o14510567
Hexadecimal 0x329177

Divisor Catalog (2)

Collatz Trajectory (115 steps to reach 1)

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

3,314,039 9,942,118 4,971,059 14,913,178 7,456,589 22,369,768 11,184,884 5,592,442 2,796,221 8,388,664 4,194,332 2,097,166 1,048,583 3,145,750 1,572,875 4,718,626 2,359,313 7,077,940 3,538,970 1,769,485 5,308,456 2,654,228 1,327,114 663,557 1,990,672 995,336 497,668 248,834 124,417 373,252 186,626 93,313 279,940 139,970 69,985 209,956 104,978 52,489 157,468 78,734 39,367 118,102 59,051 177,154 88,577 265,732 132,866 66,433 199,300 99,650 49,825 149,476 74,738 37,369 112,108 56,054 28,027 84,082 42,041 126,124

More profiles

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