λ
Harmonic Matrix

4,724,745

3 × 5 × 314983
Deficient Odd Composite

4,724,745 has digital root 6. The neighboring primes are 4724723 and 4724747; its proper-divisor sum differs from the starting integer by -1,889,874.

Prime Factor Structure

Factorization String 3 × 5 × 314983
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,559,616
Proper Divisor Sum 2,834,871
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4724723 ← → #4724747

Radix Representation

Decimal 4724745
Binary 10010000001100000001001 (23 bits)
Octal 0o22014011
Hexadecimal 0x481809

Divisor Catalog (8)

1 3 5 15 314,983 944,949 1,574,915 4,724,745

Collatz Trajectory (299 steps to reach 1)

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

4,724,745 14,174,236 7,087,118 3,543,559 10,630,678 5,315,339 15,946,018 7,973,009 23,919,028 11,959,514 5,979,757 17,939,272 8,969,636 4,484,818 2,242,409 6,727,228 3,363,614 1,681,807 5,045,422 2,522,711 7,568,134 3,784,067 11,352,202 5,676,101 17,028,304 8,514,152 4,257,076 2,128,538 1,064,269 3,192,808 1,596,404 798,202 399,101 1,197,304 598,652 299,326 149,663 448,990 224,495 673,486 336,743 1,010,230 505,115 1,515,346 757,673 2,273,020 1,136,510 568,255 1,704,766 852,383 2,557,150 1,278,575 3,835,726 1,917,863 5,753,590 2,876,795 8,630,386 4,315,193 12,945,580 6,472,790

More profiles

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