λ
Harmonic Matrix

6,624,839

13 × 509603
Deficient Odd Composite

6,624,839 has digital root 2. The neighboring primes are 6624833 and 6624859; its proper-divisor sum differs from the starting integer by -6,115,222.

Prime Factor Structure

Factorization String 13 × 509603
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,134,456
Proper Divisor Sum 509,617
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6624833 ← → #6624859

Radix Representation

Decimal 6624839
Binary 11001010001011001000111 (23 bits)
Octal 0o31213107
Hexadecimal 0x651647

Divisor Catalog (4)

1 13 509,603 6,624,839

Collatz Trajectory (90 steps to reach 1)

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

6,624,839 19,874,518 9,937,259 29,811,778 14,905,889 44,717,668 22,358,834 11,179,417 33,538,252 16,769,126 8,384,563 25,153,690 12,576,845 37,730,536 18,865,268 9,432,634 4,716,317 14,148,952 7,074,476 3,537,238 1,768,619 5,305,858 2,652,929 7,958,788 3,979,394 1,989,697 5,969,092 2,984,546 1,492,273 4,476,820 2,238,410 1,119,205 3,357,616 1,678,808 839,404 419,702 209,851 629,554 314,777 944,332 472,166 236,083 708,250 354,125 1,062,376 531,188 265,594 132,797 398,392 199,196 99,598 49,799 149,398 74,699 224,098 112,049 336,148 168,074 84,037 252,112

More profiles

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