λ
Harmonic Matrix

5,028,646

2 × 7 × 71 × 5059
Deficient Even Composite

5,028,646 has digital root 4. The neighboring primes are 5028641 and 5028649; its proper-divisor sum differs from the starting integer by -1,313,612.

Prime Factor Structure

Factorization String 2 × 7 × 71 × 5059
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,743,680
Proper Divisor Sum 3,715,034
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5028641 ← → #5028649

Radix Representation

Decimal 5028646
Binary 10011001011101100100110 (23 bits)
Octal 0o23135446
Hexadecimal 0x4CBB26

Divisor Catalog (16)

1 2 7 14 71 142 497 994 5,059 10,118 35,413 70,826 359,189 718,378 2,514,323 5,028,646

Collatz Trajectory (113 steps to reach 1)

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

5,028,646 2,514,323 7,542,970 3,771,485 11,314,456 5,657,228 2,828,614 1,414,307 4,242,922 2,121,461 6,364,384 3,182,192 1,591,096 795,548 397,774 198,887 596,662 298,331 894,994 447,497 1,342,492 671,246 335,623 1,006,870 503,435 1,510,306 755,153 2,265,460 1,132,730 566,365 1,699,096 849,548 424,774 212,387 637,162 318,581 955,744 477,872 238,936 119,468 59,734 29,867 89,602 44,801 134,404 67,202 33,601 100,804 50,402 25,201 75,604 37,802 18,901 56,704 28,352 14,176 7,088 3,544 1,772 886

More profiles

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