λ
Harmonic Matrix

8,634,748

22 × 347 × 6221
Deficient Even Composite

8,634,748 has digital root 4. The neighboring primes are 8634713 and 8634751; its proper-divisor sum differs from the starting integer by -2,112,704.

Prime Factor Structure

Factorization String 2^2 × 347 × 6221
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,156,792
Proper Divisor Sum 6,522,044
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8634713 ← → #8634751

Radix Representation

Decimal 8634748
Binary 100000111100000101111100 (24 bits)
Octal 0o40740574
Hexadecimal 0x83C17C

Divisor Catalog (12)

1 2 4 347 694 1,388 6,221 12,442 24,884 2,158,687 4,317,374 8,634,748

Collatz Trajectory (181 steps to reach 1)

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

8,634,748 4,317,374 2,158,687 6,476,062 3,238,031 9,714,094 4,857,047 14,571,142 7,285,571 21,856,714 10,928,357 32,785,072 16,392,536 8,196,268 4,098,134 2,049,067 6,147,202 3,073,601 9,220,804 4,610,402 2,305,201 6,915,604 3,457,802 1,728,901 5,186,704 2,593,352 1,296,676 648,338 324,169 972,508 486,254 243,127 729,382 364,691 1,094,074 547,037 1,641,112 820,556 410,278 205,139 615,418 307,709 923,128 461,564 230,782 115,391 346,174 173,087 519,262 259,631 778,894 389,447 1,168,342 584,171 1,752,514 876,257 2,628,772 1,314,386 657,193 1,971,580

More profiles

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