λ
Harmonic Matrix

4,448,688

24 × 3 × 92681
Abundant Even Composite

4,448,688 has digital root 6. The neighboring primes are 4448677 and 4448699; its proper-divisor sum differs from the starting integer by 2,595,192.

Prime Factor Structure

Factorization String 2^4 × 3 × 92681
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,492,568
Proper Divisor Sum 7,043,880
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4448677 ← → #4448699

Radix Representation

Decimal 4448688
Binary 10000111110000110110000 (23 bits)
Octal 0o20760660
Hexadecimal 0x43E1B0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 92,681 185,362 278,043 370,724 556,086 741,448 1,112,172 1,482,896 2,224,344 4,448,688

Collatz Trajectory (141 steps to reach 1)

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

4,448,688 2,224,344 1,112,172 556,086 278,043 834,130 417,065 1,251,196 625,598 312,799 938,398 469,199 1,407,598 703,799 2,111,398 1,055,699 3,167,098 1,583,549 4,750,648 2,375,324 1,187,662 593,831 1,781,494 890,747 2,672,242 1,336,121 4,008,364 2,004,182 1,002,091 3,006,274 1,503,137 4,509,412 2,254,706 1,127,353 3,382,060 1,691,030 845,515 2,536,546 1,268,273 3,804,820 1,902,410 951,205 2,853,616 1,426,808 713,404 356,702 178,351 535,054 267,527 802,582 401,291 1,203,874 601,937 1,805,812 902,906 451,453 1,354,360 677,180 338,590 169,295

More profiles

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