λ
Harmonic Matrix

9,913,111

13 × 762547
Deficient Odd Composite

9,913,111 has digital root 7. The neighboring primes are 9913097 and 9913129; its proper-divisor sum differs from the starting integer by -9,150,550.

Prime Factor Structure

Factorization String 13 × 762547
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,675,672
Proper Divisor Sum 762,561
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9913097 ← → #9913129

Radix Representation

Decimal 9913111
Binary 100101110100001100010111 (24 bits)
Octal 0o45641427
Hexadecimal 0x974317

Divisor Catalog (4)

1 13 762,547 9,913,111

Collatz Trajectory (207 steps to reach 1)

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

9,913,111 29,739,334 14,869,667 44,609,002 22,304,501 66,913,504 33,456,752 16,728,376 8,364,188 4,182,094 2,091,047 6,273,142 3,136,571 9,409,714 4,704,857 14,114,572 7,057,286 3,528,643 10,585,930 5,292,965 15,878,896 7,939,448 3,969,724 1,984,862 992,431 2,977,294 1,488,647 4,465,942 2,232,971 6,698,914 3,349,457 10,048,372 5,024,186 2,512,093 7,536,280 3,768,140 1,884,070 942,035 2,826,106 1,413,053 4,239,160 2,119,580 1,059,790 529,895 1,589,686 794,843 2,384,530 1,192,265 3,576,796 1,788,398 894,199 2,682,598 1,341,299 4,023,898 2,011,949 6,035,848 3,017,924 1,508,962 754,481 2,263,444

More profiles

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