λ
Harmonic Matrix

9,802,718

2 × 4901359
Deficient Even Composite

9,802,718 has digital root 8. The neighboring primes are 9802717 and 9802729; its proper-divisor sum differs from the starting integer by -4,901,356.

Prime Factor Structure

Factorization String 2 × 4901359
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 14,704,080
Proper Divisor Sum 4,901,362
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9802717 ← → #9802729

Radix Representation

Decimal 9802718
Binary 100101011001001111011110 (24 bits)
Octal 0o45311736
Hexadecimal 0x9593DE

Divisor Catalog (4)

1 2 4,901,359 9,802,718

Collatz Trajectory (176 steps to reach 1)

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

9,802,718 4,901,359 14,704,078 7,352,039 22,056,118 11,028,059 33,084,178 16,542,089 49,626,268 24,813,134 12,406,567 37,219,702 18,609,851 55,829,554 27,914,777 83,744,332 41,872,166 20,936,083 62,808,250 31,404,125 94,212,376 47,106,188 23,553,094 11,776,547 35,329,642 17,664,821 52,994,464 26,497,232 13,248,616 6,624,308 3,312,154 1,656,077 4,968,232 2,484,116 1,242,058 621,029 1,863,088 931,544 465,772 232,886 116,443 349,330 174,665 523,996 261,998 130,999 392,998 196,499 589,498 294,749 884,248 442,124 221,062 110,531 331,594 165,797 497,392 248,696 124,348 62,174

More profiles

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