λ
Harmonic Matrix

4,878,375

3 × 53 × 13009
Deficient Odd Composite

4,878,375 has digital root 6. The neighboring primes are 4878373 and 4878397; its proper-divisor sum differs from the starting integer by -1,638,510.

Prime Factor Structure

Factorization String 3 × 5^3 × 13009
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,118,240
Proper Divisor Sum 3,239,865
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4878373 ← → #4878397

Radix Representation

Decimal 4878375
Binary 10010100111000000100111 (23 bits)
Octal 0o22470047
Hexadecimal 0x4A7027

Divisor Catalog (16)

1 3 5 15 25 75 125 375 13,009 39,027 65,045 195,135 325,225 975,675 1,626,125 4,878,375

Collatz Trajectory (144 steps to reach 1)

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

4,878,375 14,635,126 7,317,563 21,952,690 10,976,345 32,929,036 16,464,518 8,232,259 24,696,778 12,348,389 37,045,168 18,522,584 9,261,292 4,630,646 2,315,323 6,945,970 3,472,985 10,418,956 5,209,478 2,604,739 7,814,218 3,907,109 11,721,328 5,860,664 2,930,332 1,465,166 732,583 2,197,750 1,098,875 3,296,626 1,648,313 4,944,940 2,472,470 1,236,235 3,708,706 1,854,353 5,563,060 2,781,530 1,390,765 4,172,296 2,086,148 1,043,074 521,537 1,564,612 782,306 391,153 1,173,460 586,730 293,365 880,096 440,048 220,024 110,012 55,006 27,503 82,510 41,255 123,766 61,883 185,650

More profiles

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