λ
Harmonic Matrix

9,013,995

32 × 5 × 17 × 11783
Deficient Odd Composite

9,013,995 has digital root 9. The neighboring primes are 9013993 and 9013997; its proper-divisor sum differs from the starting integer by -1,483,254.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 11783
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,544,736
Proper Divisor Sum 7,530,741
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9013993 ← → #9013997

Radix Representation

Decimal 9013995
Binary 100010011000101011101011 (24 bits)
Octal 0o42305353
Hexadecimal 0x898AEB

Divisor Catalog (24)

1 3 5 9 15 17 45 51 85 153 255 765 11,783 35,349 58,915 106,047 176,745 200,311 530,235 600,933 1,001,555 1,802,799 3,004,665 9,013,995

Collatz Trajectory (269 steps to reach 1)

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

9,013,995 27,041,986 13,520,993 40,562,980 20,281,490 10,140,745 30,422,236 15,211,118 7,605,559 22,816,678 11,408,339 34,225,018 17,112,509 51,337,528 25,668,764 12,834,382 6,417,191 19,251,574 9,625,787 28,877,362 14,438,681 43,316,044 21,658,022 10,829,011 32,487,034 16,243,517 48,730,552 24,365,276 12,182,638 6,091,319 18,273,958 9,136,979 27,410,938 13,705,469 41,116,408 20,558,204 10,279,102 5,139,551 15,418,654 7,709,327 23,127,982 11,563,991 34,691,974 17,345,987 52,037,962 26,018,981 78,056,944 39,028,472 19,514,236 9,757,118 4,878,559 14,635,678 7,317,839 21,953,518 10,976,759 32,930,278 16,465,139 49,395,418 24,697,709 74,093,128

More profiles

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