λ
Harmonic Matrix

9,038,984

23 × 19 × 59467
Deficient Even Composite

9,038,984 has digital root 5. The neighboring primes are 9038969 and 9039007; its proper-divisor sum differs from the starting integer by -237,568.

Prime Factor Structure

Factorization String 2^3 × 19 × 59467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,840,400
Proper Divisor Sum 8,801,416
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9038969 ← → #9039007

Radix Representation

Decimal 9038984
Binary 100010011110110010001000 (24 bits)
Octal 0o42366210
Hexadecimal 0x89EC88

Divisor Catalog (16)

1 2 4 8 19 38 76 152 59,467 118,934 237,868 475,736 1,129,873 2,259,746 4,519,492 9,038,984

Collatz Trajectory (132 steps to reach 1)

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

9,038,984 4,519,492 2,259,746 1,129,873 3,389,620 1,694,810 847,405 2,542,216 1,271,108 635,554 317,777 953,332 476,666 238,333 715,000 357,500 178,750 89,375 268,126 134,063 402,190 201,095 603,286 301,643 904,930 452,465 1,357,396 678,698 339,349 1,018,048 509,024 254,512 127,256 63,628 31,814 15,907 47,722 23,861 71,584 35,792 17,896 8,948 4,474 2,237 6,712 3,356 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595

More profiles

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