λ
Harmonic Matrix

4,855,006

2 × 13 × 29 × 47 × 137
Deficient Even Composite

4,855,006 has digital root 1. The neighboring primes are 4854989 and 4855007; its proper-divisor sum differs from the starting integer by -1,363,772.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 47 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,346,240
Proper Divisor Sum 3,491,234
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4854989 ← → #4855007

Radix Representation

Decimal 4855006
Binary 10010100001010011011110 (23 bits)
Octal 0o22412336
Hexadecimal 0x4A14DE

Divisor Catalog (32)

1 2 13 26 29 47 58 94 137 274 377 611 754 1,222 1,363 1,781 2,726 3,562 3,973 6,439 7,946 12,878 17,719 35,438 51,649 83,707 103,298 167,414 186,731 373,462 2,427,503 4,855,006

Collatz Trajectory (237 steps to reach 1)

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

4,855,006 2,427,503 7,282,510 3,641,255 10,923,766 5,461,883 16,385,650 8,192,825 24,578,476 12,289,238 6,144,619 18,433,858 9,216,929 27,650,788 13,825,394 6,912,697 20,738,092 10,369,046 5,184,523 15,553,570 7,776,785 23,330,356 11,665,178 5,832,589 17,497,768 8,748,884 4,374,442 2,187,221 6,561,664 3,280,832 1,640,416 820,208 410,104 205,052 102,526 51,263 153,790 76,895 230,686 115,343 346,030 173,015 519,046 259,523 778,570 389,285 1,167,856 583,928 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694 246,347 739,042 369,521 1,108,564

More profiles

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