λ
Harmonic Matrix

4,948,872

23 × 3 × 206203
Abundant Even Composite

4,948,872 has digital root 6. The neighboring primes are 4948859 and 4948883; its proper-divisor sum differs from the starting integer by 2,474,496.

Prime Factor Structure

Factorization String 2^3 × 3 × 206203
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,372,240
Proper Divisor Sum 7,423,368
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4948859 ← → #4948883

Radix Representation

Decimal 4948872
Binary 10010111000001110001000 (23 bits)
Octal 0o22701610
Hexadecimal 0x4B8388

Divisor Catalog (16)

1 2 3 4 6 8 12 24 206,203 412,406 618,609 824,812 1,237,218 1,649,624 2,474,436 4,948,872

Collatz Trajectory (82 steps to reach 1)

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

4,948,872 2,474,436 1,237,218 618,609 1,855,828 927,914 463,957 1,391,872 695,936 347,968 173,984 86,992 43,496 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148

More profiles

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