λ
Harmonic Matrix

9,642,813

3 × 3214271
Deficient Odd Composite

9,642,813 has digital root 6. The neighboring primes are 9642811 and 9642817; its proper-divisor sum differs from the starting integer by -6,428,538.

Prime Factor Structure

Factorization String 3 × 3214271
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,857,088
Proper Divisor Sum 3,214,275
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9642811 ← → #9642817

Radix Representation

Decimal 9642813
Binary 100100110010001100111101 (24 bits)
Octal 0o44621475
Hexadecimal 0x93233D

Divisor Catalog (4)

1 3 3,214,271 9,642,813

Collatz Trajectory (119 steps to reach 1)

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

9,642,813 28,928,440 14,464,220 7,232,110 3,616,055 10,848,166 5,424,083 16,272,250 8,136,125 24,408,376 12,204,188 6,102,094 3,051,047 9,153,142 4,576,571 13,729,714 6,864,857 20,594,572 10,297,286 5,148,643 15,445,930 7,722,965 23,168,896 11,584,448 5,792,224 2,896,112 1,448,056 724,028 362,014 181,007 543,022 271,511 814,534 407,267 1,221,802 610,901 1,832,704 916,352 458,176 229,088 114,544 57,272 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196

More profiles

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