λ
Harmonic Matrix

9,002,791

7 × 557 × 2309
Deficient Odd Composite

9,002,791 has digital root 1. The neighboring primes are 9002779 and 9002801; its proper-divisor sum differs from the starting integer by -7,693,742.

Prime Factor Structure

Factorization String 7 × 557 × 2309
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,311,840
Proper Divisor Sum 1,309,049
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9002779 ← → #9002801

Radix Representation

Decimal 9002791
Binary 100010010101111100100111 (24 bits)
Octal 0o42257447
Hexadecimal 0x895F27

Divisor Catalog (8)

1 7 557 2,309 3,899 16,163 1,286,113 9,002,791

Collatz Trajectory (119 steps to reach 1)

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

9,002,791 27,008,374 13,504,187 40,512,562 20,256,281 60,768,844 30,384,422 15,192,211 45,576,634 22,788,317 68,364,952 34,182,476 17,091,238 8,545,619 25,636,858 12,818,429 38,455,288 19,227,644 9,613,822 4,806,911 14,420,734 7,210,367 21,631,102 10,815,551 32,446,654 16,223,327 48,669,982 24,334,991 73,004,974 36,502,487 109,507,462 54,753,731 164,261,194 82,130,597 246,391,792 123,195,896 61,597,948 30,798,974 15,399,487 46,198,462 23,099,231 69,297,694 34,648,847 103,946,542 51,973,271 155,919,814 77,959,907 233,879,722 116,939,861 350,819,584 175,409,792 87,704,896 43,852,448 21,926,224 10,963,112 5,481,556 2,740,778 1,370,389 4,111,168 2,055,584

More profiles

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